diff --git "a/data/dm_maths/full_data_2/2121_11255.jsonl" "b/data/dm_maths/full_data_2/2121_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/2121_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose 5*m + 35 = 5*c + 10*m, -c + 4*m - 3 = 0. Solve -3*g - 5 = -4*n + 2*n, -c*g - 5 = -4*n for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-15) - 1)*(-6)\/(-98).\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14499 - -4?\nAnswer: -14495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209) - -4*-3*sqrt(209) - -3*2*sqrt(209))\/((4*sqrt(110)*-1)\/(4*sqrt(20)\/sqrt(2))).\nAnswer: 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l + 7. Let x be z(0). Let p be -8 + 18 - (2*-1 + x). Suppose 0 = 2*g - 3*u - 8, -1 + 13 = 3*g - 5*u. Are p and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 74 = -4*g, 4*g - w = -2*w - 73. Let c be (-2)\/8 - g\/8. Suppose 3*y - 2*a = c, 7 + 1 = 5*y - a. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 15*w. What is the closest to 1 in -5, w, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 4:29 AM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.63? (a) 1\/5 (b) 4 (c) 0.374 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1269 - 1247 + 2514 - 18*k.\nAnswer: -18*k - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(15\/(-2))*8\/(-16). Let j = 15.7 + -15.8. What is the nearest to j in -15, 5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205225 is divided by 1047.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - o**2 - o + 7. Let j be a(0). Let w be j\/21 - ((-42)\/9 + -2). Put w, -1, 0 in descending order.\nAnswer: w, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 55*r**3 + 425*r**2 + 10*r - 5. Let n(s) = -56*s**3 - 424*s**2 - 12*s + 6. Let i(f) = 5*n(f) + 6*z(f). Find the third derivative of i(x) wrt x.\nAnswer: 300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 2360 - 21. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3426, 3429, 3432, 3435, 3438?\n\"Answer: 3*n + 3423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(70) - (sqrt(70) + (sqrt(70) - -6*2*sqrt(70)))))\/(-4*(sqrt(250) + (-1*sqrt(250) - sqrt(250)))))**2.\nAnswer: 1183\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.4722 - -0.4311. Let q = p + 0.0411. Which is the nearest to q? (a) -12 (b) 0 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2380602 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 6 - 1 - 11581*c**2 + 11528*c**2. Let b(i) = -7*i**2. Calculate k(b(l)).\nAnswer: -2597*l**4 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of -2 + 48\/25 - (-53266829)\/1925?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(68) + -2)*1.\nAnswer: -1 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 0 - 2 = 0. What is the first derivative of -4*f - 3 + 5 - 1 + h wrt f?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -3*v - 6. Let g be b(-7). Suppose 5 + g = 5*d. Solve -5*q + q = -d for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-4*-2*sqrt(91))\/sqrt(7) + 0)**2.\nAnswer: -64*sqrt(13) + 848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10795546.25 rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -7 (c) 2\/21 (d) 0 (e) -96\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w**2 + 1986*w - 11808 = 0.\nAnswer: 6, 656","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-52)\/(-130)*15\/(-4). What is the closest to i in -2\/31, -1\/11, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31525 + -31494. Solve u*p = -35*p + 264 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.013 - -0.0141989. Round a to 5 dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 87.0499 + -87. Let c = 8 - 8.05. Let m = c + v. What is m rounded to five decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of -1643*g**4\/12 - 2591*g**3\/6 + 11*g**2 + 29. Differentiate w(a) with respect to a.\nAnswer: -3286","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/10 of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 4*k - 4*y - 8 = 0, -3*y - 30 = -5*k. Let h(s) = 3*s**3 + 3*s**2 - 3*s. Let m(a) = -3*a**3 - 4*a**2 + 4*a. Determine k*m(g) + 4*h(g).\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-seven quarters of a century?\nAnswer: 1175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46712, -46922, -47264, -47732, -48320?\nAnswer: -49022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of 1\/3*s**4 - 2*s + 19*s**2 + 7\/6*s**3 - 2. What is the first derivative of b(u) wrt u?\nAnswer: 8*u + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4078, 8210, 12372, 16570, 20810?\n\"Answer: s**3 + 9*s**2 + 4098*s - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**4 + 162*u**3 + 3636*u**2 + 13528*u - 17328.\nAnswer: 2*(u - 1)*(u + 6)*(u + 38)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*o = -59*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1832552680?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40*n + 18*n + 7*n)*(-2 + 2 - 3*n)*(7*n - 7*n - n).\nAnswer: 195*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4892194 nanograms to grams.\nAnswer: 0.0000000004892194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3519 and 18776993.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**11*h\/(h*h*h*h*(h*h**(-2\/25))\/h*h))\/(h**(6\/11)*(h*h**21\/h)\/h) assuming h is positive.\nAnswer: h**(-3703\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 633351839 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*y - 12*y + 34*y - 14*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 9823*o**2 + 87*o + 87. Let d be r(-1). Calculate the highest common divisor of 627 and d.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40537.\nAnswer: 7, 5791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 44 = 4*d, -5*x + 86 = 19*d - 15*d. Calculate the remainder when 146 is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 3*c + 57 = 0, 2*q - 2*c - 48 = c. Let d be 4197\/(-15) - 1\/5. Is ((-24)\/10)\/(q\/d) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/5, 6599, -5 in decreasing order.\nAnswer: 6599, 6\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z**3 + 13*z**2 - 5*z**3 - 4*z**2 + (-8*z + 0*z - 2*z)*(-5*z**2 + 0*z + 0*z).\nAnswer: 48*z**3 + 9*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-1416)\/2360*(-310)\/(-6)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 225 and 13075?\nAnswer: 117675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1705 = 9*h - 5854. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 1728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/27505 or 1.12?\nAnswer: 1.12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nbb when three letters picked without replacement from {n: 2, b: 3, k: 1, u: 1, y: 3}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2226*s + 22282. Calculate m(-10).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 240\/(-936)*(-115)\/2300?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 22, 44, 68, 70, 26, -88, -296, -622?\n\"Answer: -4*z**3 + 25*z**2 - 25*z + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 148*l + 5051. What is t(-34)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/2*(-168)\/(-30). Solve 8 = 6*u + s for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56638 = 3*t + l, -73 + 85 = 3*l. Is t a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 127831?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d. Let w(p) = -597*p - 3 + 4 + 669*p. What is u(w(s))?\nAnswer: 72*s + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -4) + -16 + (20 - 15) + -2 + 51.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 56157\/12458 + -48\/6229. Suppose g*v**2 - 1\/2*v**3 + 11\/2 + 21\/2*v = 0. Calculate v.\nAnswer: -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 21*z - 13. Let l(r) = -3*r. Let o(u) = h(u) + 5*l(u). Let j(p) = -p**2. What is j(o(k))?\nAnswer: -36*k**2 + 156*k - 169","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c = 9*c. Put 41, c, -5 in increasing order.\nAnswer: -5, c, 41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 169181 to the power of 1\/2, to the nearest integer?\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 539, 538, 537, 536, 535, 534?\n\"Answer: -u + 540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12 or -4929?\nAnswer: -4929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 2 = -2*x. What are the prime factors of 292\/x + (7 - 1)\/6?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in 2, -250, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 418 and 291137?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2010297 is divided by 10985?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -227*g. Let z(s) = 767*s. Calculate m(z(b)).\nAnswer: -174109*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p - 4*p + 6*p + (0 - 5 + 4)*(3*p - 3*p - p) + 3*p - 2*p - 3*p + 0*p - p - p to y*p + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 5*w. Let l be 0 - w - 60\/15. Let b be l + (-186)\/(-45) + 0. Which is bigger: 0 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k + 11. Let c be g(7). Suppose c*j = -3*y + 42, 2*y = -6*j + 2*j + 40. What is the highest common factor of 18 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24 + -21. Let j be (-15)\/10 + z\/2. Suppose 5*d - 10 = -j. Sort -1\/3, -17, d in descending order.\nAnswer: d, -1\/3, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 + -15 + -32 + -20 + 0 + -19?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(15\/22) - (-455 + 459)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 4:32 PM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-28)\/56*(3129\/(-3) + 1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - r + 9 + 26 = 0, -2*r - 20 = 3*c. Let m be (-12700002)\/c + 7\/(-35). What is m rounded to the nearest one hundred thousand?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 26183, 52273, 78361, 104447, 130531, 156613?\n\"Answer: -j**2 + 26093*j + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -664*d + 669*d - 4*c, -5*d - 4*c = 29 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 4246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - 1*-1) + -13 + 10. What is the fourth biggest value in -4, y, -0.5, 3\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 25*o**2 - 6989*o + 24457. Determine m(276).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (6 - 1))*1\/(-15)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 + 11 + -3 + -4. Suppose d = 4*y - 419 - 857. Let g be (-1 - -2)\/(1\/29). Calculate the highest common divisor of g and y.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 991 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*j**2 - 4*j**2 + 2*j**2)*(j + 0*j - 3*j) - 5*j - 9*j**3 + j - 5*j**3 as z*j**3 + b*j**2 + l*j + k and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 9e (base 15) to base 3\nAnswer: 12112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 20 = -2*i + 5, 3*r + 5*i = 40 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -6*x**2 + 16*x + 4. Let r be y(3). Put 0, 16, 3, r in ascending order.\nAnswer: r, 0, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3388 - -3389. Which is the closest to -0.1? (a) 0.11 (b) 4 (c) 0.05 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o + 3*o - 4*o + (-2 + o + 2)*(-2 + 4 - 3) + o - 5*o + 2*o + 3*o - 4*o + 3*o)*(3 - 3 - 2).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5268170 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 841814 + -712174513\/846. What is the common denominator of 113\/20 and r?\nAnswer: 8460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13*k + 6*k - 21*k)*(-3 - 1 + 5) + k - 2 + 2 to h + x*k and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-4))\/((-2)\/12). Suppose -255 = -s*j - 0*j. Calculate the remainder when j is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149983 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22737.\nAnswer: 3, 11, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 10:55 PM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -535 (b) 0.07 (c) 44 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.147768 and 32.\nAnswer: -4.728576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s + 4*s - 2*s**3)*(2*s + 0 + 0) + 2*s**4 + s**4 - s**4.\nAnswer: -2*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by -26?\nAnswer: -11\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -6615 at most as big as -2943102\/445?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of -4492*n**5\/5 - n**3 + 134*n**2 - 3683. What is the third derivative of w(p) wrt p?\nAnswer: -107808*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 6:34 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 1. Let n = 23 + -10. Suppose -w + 29 = h*s, 3*w = n - 1. Solve -s*p + 8 = -p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43212 divided by -1662.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 4*g - 1, -4*g = -g. Suppose x = -2*w + 3. Let l be w*(1\/(-1) + 1). Solve l*f - f + 3*i + 19 = 0, -4 = 4*f + 4*i for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 174 = 3*z, 2*z - 122 = -2*c + 3*c. Let m = z - 40. What is the greatest common divisor of m and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (9 + 1)*(-3)\/(-6). Let q be -3*((-14)\/(-6) + -2). What is the smallest value in 3, q, f?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.5 - 0.8. Which is the smallest value? (a) t (b) -3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 183323.8 to the nearest 100.\nAnswer: 183300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6041 - 2248. Let b = -16267639\/4284 + 29\/21420. Let c = y + b. Calculate the common denominator of c and 97\/22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9508*l**2 - 18808*l**2 + 9499*l**2 + 5 + 3*l**3 - 2*l)*(l - 4 + 1 + 1) to the form b + a*l + f*l**4 + u*l**3 + z*l**2 and give b.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*r + 2. Let t be 10 + (84\/(-45) - (-6)\/(-45)). Calculate the greatest common divisor of r and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of v**6\/120 - v**5\/10 + v**4\/4 - v**3\/2 + 4*v**2. Let f be c(5). Solve f*l - 13 = -5 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 7. Let c = 6 - g. Let t be 0 + ((-10)\/50 - 1\/(-5)). Solve 4*r + 8 = 2*n, t = n + c*r + 4 - 3 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -3*l + i + 1, -2*l + i + 1 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (128\/(-96))\/(92\/6).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - 59*z - 588. Is n(-21) a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + 5225616?\nAnswer: 5225611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m - 30*m**2 + 8 - 3*m**2 + 36*m**2 - 10. Determine l(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54930 = 22*k - 28*k. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53126?\nAnswer: 2, 101, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 z when three letters picked without replacement from yezieieeii.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 29 = 5*l, -2*l = 2*l - 20. Let g = 2 + q. Suppose -5*z - 3 + 13 = 0, g = w - z + 5. Sort 4, 3, w.\nAnswer: w, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j**2 - 1. Let u(k) = 400*k**2 - 6. What is 12*p(h) - 2*u(h)?\nAnswer: -776*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/13, 2\/11, -0.5, -2\/3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -510, 2, 11 in decreasing order.\nAnswer: 11, 3, 2, -510","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 46*g + 1. Let c(q) = 4*q**2 - 232*q + 3. Let x(w) = c(w) - 5*y(w). Let h(f) = f**2 + f - 1. Calculate -2*h(b) + x(b).\nAnswer: -3*b**2 - 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w - 1. Let m be f(3). Suppose 19 = m*b + 5. Suppose -b - 3 = -2*j. Calculate the greatest common divisor of 35 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 9710?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 1 - 1 + 0*l + 2*l - l + (3 - 3 - 2*l)*(-2 - 3 + 4) + l + 8*l + 14*l)*(-8*l**2 + 2*l**2 + 3*l**2)*(-5*l + l**2 - 2*l**2 + 3*l).\nAnswer: 75*l**5 + 150*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/1714 and -87\/8.\nAnswer: 6856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that t**3 + 338*t**2 + 17580*t + 250200 = 0.\nAnswer: -278, -30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -496\/30863 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(189)\/(2*sqrt(9)))\/(sqrt(7)*-3*5) - ((sqrt(432) + (1 + sqrt(432) - sqrt(432) - sqrt(432)) + sqrt(432) + -1)**2 - (sqrt(432) + -1)*4)*-1.\nAnswer: -1441*sqrt(3)\/30 + 436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 9 = 0, g + 6*y = 3*y - 14 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -167*g + 1826. Let x be t(11). Let u(n) = -n**3 - 11*n**2 + 3*n + 6. Give u(x).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1864, 1842, 1820, 1798?\nAnswer: 1776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.5445 + 2.5445. What is the closest to 0.1 in 34, -1\/2, 1\/4, l?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of -5*k**4\/8 - 53*k**3\/3 + 5*k**2 + 26. Let c be b(-13). What is the highest common factor of 445 and c?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/7? (a) -0.3 (b) -4 (c) 378\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 times -5700\nAnswer: -342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 5*z - 14, -5*c - 513 + 531 = 4*z. Find p, given that 19\/4*p**4 - 8*p - 20*p**c + 7\/4*p**5 - 5*p**3 + 4 = 0.\nAnswer: -2, -1, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/3*(945\/(-30))\/(-21). Sort -1, 4, 5, q in ascending order.\nAnswer: q, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 1:12 AM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from {k: 10, z: 4}?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -392 (base 13) in base 2?\nAnswer: -1001110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2024?\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 480 and 90?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 5*v**2 + 4*v - 62. What is t(-7)?\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 179 - 164. Let w be 3\/(-6) + 15\/6. Suppose -3*z + 22 = -2*j, w*z + 3*z - j - 39 = 0. Calculate the remainder when b is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 112?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 182 and 5733.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 38.04 + -41. Let k = -0.04 + j. Let z = 1.6 + k. What is z rounded to 0 decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4 - (3 - 5)) + (718 - (-1 + -5)). Solve 30 = -b*s + 712*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26 - -6. Let b = u - 23. Let y(m) = m**3 + m**2 - 3*m - 1. Let t be y(-2). Calculate the greatest common divisor of t and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -479 = -10*x + 1391. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3 - 97*k**2 - 886*k - 1392.\nAnswer: -(k + 2)*(k + 8)*(k + 87)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.122 + -3.10789. What is f rounded to 4 decimal places?\nAnswer: 0.0141","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j - j + 3*j)*(29*j - 3 + 3 + j - j - 2*j + (-5*j + j + 6*j)*(-2 - 3 + 3) - 3*j + 4*j - 2*j - 2*j + 14*j - 6*j).\nAnswer: -28*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67990*p**2 - 33998*p**2 - 33940*p**2.\nAnswer: 52*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 1, 148.\nAnswer: -16, 1, 148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 5*g**5 - 5010*g**4 + 1635640*g**3 - 160443910*g**2 - 4568099085*g + 45996112360 = 0?\nAnswer: -29, 8, 341","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)*-1*-4 + sqrt(36))\/(sqrt(768)*1 + sqrt(12)).\nAnswer: 5*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -349*i + 369. Is j(-16) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -3*b + 46. Give x(23).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 2*i**2 - 9920*i - 9922 = 0.\nAnswer: -1, 4961","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -28, -12, 1\/2, -117?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150 = 4033*m - 4018*m for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1537 rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of -x**4\/6 + 8*x**2. Let q(u) = -5*u**2 + 2*u + 1. Let j(z) = 11*z**2 + 2*z + 1. Let n(h) = -j(h) + q(h). Determine n(l(g)).\nAnswer: -256*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -2292616 less than -2292627?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25309, 50617, 75925, 101233, 126541, 151849?\nAnswer: 177157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -34 + 13. Let s be c\/(-14)*(-8)\/(-6). Let 6\/5*n**3 + 2\/5*n**4 + 0 + 6\/5*n**s + 2\/5*n = 0. Calculate n.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/9 (b) 3 (c) -3 (d) -14.3015\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**2 + 16*w + 41. Let o be k(-9). Solve o*f + 15 = 64*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11459423 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14*1\/(315\/18))\/((-4)\/10).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1740*z**2 + 895*z**2 - 196*z**2.\nAnswer: 2439*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -0.3, 1.7?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 3*y**2 - 19*y + 31. Calculate n(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + (-3 + sqrt(1728))*-1)**2 + 5.\nAnswer: -8715 + 960*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3841040*x**2 - 9*x + 80972 wrt x.\nAnswer: -7682080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 9, 35, -2\/3?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 3*v - 20 = -0, 0 = i - v - 10. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 1 + 16 - (-17 - (-80 + 5))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -320, -300, -280, -260, -240, -220?\n\"Answer: 20*u - 340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 162 - 1457\/9. What is the fourth biggest value in -0.01, 2, 4\/3, v?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 159*i**2 - 77*i**2 - 28*i**2 + (i + i - i)*(3*i + 0*i - 5*i) - 674 + 26*i**2 + 674.\nAnswer: 78*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -112925 to the nearest 100.\nAnswer: -112900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, -245, -1069, -2735, -5525, -9721, -15605?\nAnswer: -23459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6360\/16057 or -1?\nAnswer: -6360\/16057","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*h - 3*o + 136 = -18*h, -2*h - 5*o - 42 = 0. Which is the closest to -2? (a) -0.3 (b) h (c) 0 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of -v**8\/13440 - v**7\/5040 - v**4\/12 - 2*v**2. Let z(d) be the second derivative of g(d). Let z(q) = 0. Calculate q.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11804, -48154, -108738, -193556, -302608, -435894?\nAnswer: -593414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**5\/2 + 229*b**4\/2 - 453*b**3 + 677*b**2 - 901*b\/2 + 225\/2.\nAnswer: -(b - 225)*(b - 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 240, 974, 2490, 5070, 8996, 14550, 22014?\nAnswer: 31670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-13)\/(-3) + (-4)\/3 + -4. Let s be b\/((6\/20)\/(84\/8)). What is the tens digit of 30*(-3 + s\/(-10))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1043*v + 30 - 1043*v - 3*v**2 + (v - v - 5*v)*(0*v - v - v) + 3 - 3 + v**2.\nAnswer: 8*v**2 + 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4521554 + -4?\nAnswer: 4521550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 506 = 4*q - 3*c, -8*q + 2*c + 636 = -3*q. Calculate the remainder when q is divided by 43.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3828531160 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9689, -18924, -28159?\nAnswer: -37394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.6 + -1.7. Let h = p - -1.3. Let i = 82 + -81.95. Sort h, i, 3 in decreasing order.\nAnswer: 3, h, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 - 28. Let c(v) = -v**3 - 8*v**2 - 3*v - 19. Let w be c(p). Solve -y - w = -0*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of 0*z + 0 - 2\/3*z**3 - 3\/20*z**5 + 1\/120*z**6 + 11\/24*z**4 + 3*z**2. 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: Let o = 0.04 - -0.96. Let m = -0.9 - -1. What is the closest to 0.1 in m, -2\/7, o?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.3 (b) 45 (c) -4 (d) 4 (e) -28 (f) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 4 = -p, 3*p = -4*o + 64377. What is the hundreds digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -41*v + 88*v - 12 - 48*v. Let z be y(-10). Put 5, z, 1 in decreasing order.\nAnswer: 5, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or -157149.532?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -321533 divided by 4?\nAnswer: -321533\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/6)\/(3\/(-45)). Calculate the common denominator of (-89)\/14 - (-4)\/14 and (-111)\/f - (-4)\/(-10).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)*2 - (sqrt(320) + sqrt(320)*2))**2.\nAnswer: 2000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + (99\/3 - 2). Let y be v\/(-8) + (-1)\/(-2). Let b(z) be the third derivative of z**6\/120 + z**5\/60 - 5*z**4\/24 - z**3\/3 - z**2. Determine b(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 111?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 584346138 to the nearest integer?\nAnswer: 836","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.24435 - -0.64435. What is the second smallest value in -0.01, 5, b, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -3*m + 3. Let s be d(2). Let q = s + 9. Which is bigger: -1\/4 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 7*p - 13. Let y = 12 + -3. Is l(y) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33673472304 - -0.2.\nAnswer: 33673472304.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.98 + -0.88. What is the nearest to s in -2\/11, -2.7, -1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + 1\/(1\/44). Suppose -52 = -2*j + w. Is 11 a factor of (32\/12 - 2)*j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 5*l = 7*o - 35, 3*l - 32 = -4*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 58\/5, 9, -295.18, -4 in ascending order.\nAnswer: -295.18, -4, 9, 58\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38, -81, -124, -167, -210, -253?\nAnswer: -296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*t + 137 = -51 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, s: 1, i: 3, o: 6, n: 7}. Give prob of sequence onl.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3958 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 23 - 30 - (-2 + 0)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17470638 by -8735319.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 + 14*k - 19. Let d be j(9). Let a = d + -26. Suppose -3*q - 368 = -4*p - a*q, 2*q = 0. Does 23 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 390 a factor of 824489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(225) - (sqrt(225) - (sqrt(225) - (2*sqrt(225) - sqrt(225)) - sqrt(225))))\/sqrt(5).\nAnswer: -3*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + 15*n - 8. Let l be w(-15). Let u(g) = 4*g + 28. Let x be u(l). Let v be 0*(-1)\/x - (0 + 3). Put v, 16, -1, 4 in ascending order.\nAnswer: v, -1, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*c - 42*c + 15 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2183 - -7045.\nAnswer: 4862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*u + p + 733 = 98*u, 8 = 4*p. Calculate the remainder when u is divided by 82.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -92\/7 - -453\/35. Suppose -2*v - 1 = 5. Let f = v + 5. Which is the second biggest value? (a) f (b) -1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of -1\/300*x**6 - 115\/12*x**4 - 182*x**2 + 0*x + 125\/3*x**3 - 49\/150*x**5 + 0. What is k in b(k) = 0?\nAnswer: -25, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -470 - -1103. Let q = -631 + m. Calculate the smallest common multiple of q and 220.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 4 - r**4 + (-r**2 + 0*r**2 + 2*r**2)*(-4*r**2 - 4*r**2 - 6*r**2) to m*r**2 + w*r**3 + q*r + x + o*r**4 and give o.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-13531)\/(-6) - (-18)\/(-108). What is the greatest common divisor of i and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2 + (sqrt(7) + 0)**2 + sqrt(7) - sqrt(7)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*l**3*t**3 + l**3*t**2 + 12*l**3 - 359*l**2*t**3 - 24*l**2 wrt t.\nAnswer: -12*l**3 - 2154*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-3)\/z*z)\/z)\/z*z\/(z*z\/z**(-1))*z)\/(z\/z**(-1\/3))**(-50)*((z*z**1*z)\/(z*z**(3\/7)))**(3\/25) assuming z is positive.\nAnswer: z**(31949\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -13 and 8.\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 + 18.88. Which is the second smallest value? (a) 2\/5 (b) -4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -159016 or 0.2?\nAnswer: -159016","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 261516224?\nAnswer: 2, 751, 5441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -4885 less than or equal to -4885?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3831856 to the nearest integer?\nAnswer: 1958","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0314 equal to -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -9*j + 37, -48*b = 4*j - 53*b - 40 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -9*f**2 + 8. Let s = -3 - -9. Let l(v) = 41*v**2 - 5 + 59*v**2 - 52 - 31. Let k(z) = s*l(z) + 68*c(z). Differentiate k(m) with respect to m.\nAnswer: -24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10556255 to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000031541941 to seven dps.\nAnswer: 0.0000315","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 + 3*b + 14. Let v be i(-3). Calculate the least common multiple of ((224\/12)\/7)\/(v\/(-90)) and 40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-33)*(-3)\/5.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 3)*(-3 - 1 + 3)*(3 + 1 + 3)*(-7*w + 3*w + 2*w).\nAnswer: 14*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 593312 to the nearest integer?\nAnswer: 770","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6290*l - 7 = 6297*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 5, -1, 4\/5, -65\/213?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 59033 a multiple of 258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6376805 to the power of 1\/2, to the nearest integer?\nAnswer: 2525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 8436000 to the nearest one hundred thousand.\nAnswer: 8400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -8*b**3 + 3*b**2 - 6. Let c be (3\/6)\/(2\/(-4)). Let p(o) = o**3 + 1. Let g(q) = c*t(q) - 6*p(q). Find the third derivative of g(d) wrt d.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/g**(5\/8))\/g)\/g**(-18) assuming g is positive.\nAnswer: g**(147\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -52, -89, -134, -187, -248, -317?\nAnswer: -394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-3*(-2 + sqrt(72)) - (((sqrt(224)\/sqrt(7))\/sqrt(8))\/sqrt(2))**2).\nAnswer: -18*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d + 4, 81*a - 79*a - 3*d = 16 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 2824 and -15.\nAnswer: 2809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 493.72+3353\nAnswer: 3846.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(7\/5)\/(s**(5\/4)\/s*s)*(s*((s**(-2\/7)*s)\/s)\/s)\/(s*s**(-1\/2)))\/((s**(-1))**50*s**(-5\/3)*s**4) assuming s is positive.\nAnswer: s**(19753\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 16988936707 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/p**(-4\/5)*p))\/p*p**(-5)*p**(2\/11)*p*p*p**(4\/5))**(-20\/13) assuming p is positive.\nAnswer: p**(1060\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 61*f + 3 - 3 + (9*f - 3*f + 20*f)*(-2 + 1 + 0).\nAnswer: 35*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(252) + -1)*-4)**2*3 - (-2 + (1*((sqrt(700) + -1)*5 - sqrt(700)))**2).\nAnswer: -8816*sqrt(7) + 183081","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3963\/2 + -1981. Suppose 2*u = 3 - 11. Let r be (-2 + 0)*1 - u. Is r smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 407506 is divided by 22623?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 1967 + 572. Let r = h - 186. Suppose -n - 89 = -r. Solve 2*y = 4*i + 12, 3*y - 10 = n*i + 6 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -129\/130 and 12\/91.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of 61*b**6\/6 - b**4\/6 + 491*b**2 - 163*b + 6. Find the third derivative of y(q) wrt q.\nAnswer: 7320*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2 - i + (9 + 28 + 13)*(i - 4*i + 4*i) + i - 3*i + i + (1 + 2*i - 1)*(-2 - 2 + 2) to c*i + l and give c.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.1 - 0.1. Let t = 468 - 4210\/9. Which is the second smallest value? (a) -2\/7 (b) t (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3\/(-3 - 6)*-27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5297 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29 + -29. Let u = 201 - 200.913. Let p = -0.013 - u. Which is the nearest to n? (a) -0.04 (b) -0.5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 - 13 - (5 + 0)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143304338 is divided by 226?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a**2*j*w**2 + 314*a**2*j*w - 24*a**2*j - 118*a*j*w + 2096*j*w**2 wrt a?\nAnswer: -4*j*w**2 + 628*j*w - 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - 1)\/1 + 1. Let x be 92\/16 + -1 + 5\/20. Suppose -3*m - 3*h + 0*h + 84 = 0, c = -x*h + 10. What are the prime factors of m?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 15*t - 37. Let c be y(4). Let x(u) = -5*u + 175. Let q be x(c). Calculate the highest common factor of 108 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000012076877 rounded to six decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 121883 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(1296)*2)\/((-2*sqrt(3300))\/sqrt(11)).\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1433759 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.8 and 21?\nAnswer: 16.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 - 4*c + 5. Let z be t(-5). Suppose z = -3*j - j + 316. Is 12 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1*sqrt(28) + -1 + sqrt(3087) + 0)*3)**2.\nAnswer: -12312*sqrt(7) + 819072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fbcpfccfpbpmmbhp. Give prob of sequence cfbc.\nAnswer: 9\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 0*q + 6 = 0. Suppose q*s + 3*l + 24 = -s, -s + 3*l - 12 = 0. Let y be (-3)\/s + (-70)\/(-6). What is the greatest common factor of y and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of w**4\/4 - 6*w**3 + 4*w**2 + 40*w + 55. Let x be o(18). What is the greatest common factor of 69 and x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 595881\/310 or 1922?\nAnswer: 1922","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g - 2. Let z(d) = -13*d + 28. Let k(v) = 6*r(v) + z(v). Calculate k(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/8, -2\/25, 1, 0.2, 730?\nAnswer: 730","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 960879823 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1973 - 23669\/12. Let i(m) be the second derivative of -v*m**4 - 27*m + 2\/15*m**6 + 0 + 1\/3*m**3 - 1\/4*m**5 + 0*m**2. Find g such that i(g) = 0.\nAnswer: -1, 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -7*b**2 + 13*b. Let c(s) = s**2 - 10*s - 62. Let h be c(14). Let m(a) = -3*a**2 + 6*a. What is h*p(j) + 13*m(j)?\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -0.2, 0.2, -3\/2, 2\/19, 20, 2.08?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -14, -2646, -2, -4, 0 in increasing order.\nAnswer: -2646, -14, -7, -4, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1110 + 5452?\nAnswer: 6562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, g: 2, n: 1, z: 2, w: 1}. Give prob of picking 2 z and 1 w.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of o**5 - 5*o**4 + 8*o**3 + 2*o**2 - 15*o + 11 wrt o.\nAnswer: 60*o**2 - 120*o + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2119, 4237, 6355, 8473, 10591?\n\"Answer: 2118*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 1 - 5. Suppose 4*c - m*u = 70, 3*c - 5*u + 22 - 85 = 0. Let a(r) = -r**2 + 9*r + 28. What is the lowest common multiple of c and a(9)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -9*l**3 + 3*l**2 + 201. Let u(p) = 35*p**3 - 11*p**2 - 808. Let f(y) = 22*m(y) + 6*u(y). Find the first derivative of f(h) wrt h.\nAnswer: 36*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**9*i)\/i*i*i**(-19)\/i*i assuming i is positive.\nAnswer: i**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 4468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3374 + 4?\nAnswer: -3370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 + (-8 - -14) + -4 + 8?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -585 + 591. Solve -f*m - 3 = 15 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**3 - 3*f**3 - 4*f**4 + (-4*f + 3*f + 0*f + (-5 + 2 + 4)*(-f + 0 + 0))*(5 - 2 - 1)*(1721*f**3 + 2083*f**3 - 3366*f**3).\nAnswer: -1756*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 2 + (-7)\/(21\/(-24))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v + 1. Let i be s(1). Let w(h) = h + 1 - 2 + i + 2. Calculate w(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191218 is divided by 119?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -12. Is 2 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -6 + 16 - (-1 + 2 + 16)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41862808?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**3 + 292*g**2 + 5944*g + 30912.\nAnswer: 4*(g + 8)*(g + 23)*(g + 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that j**3 + 18*j**2 + 3*j + 3*j**4 + 3 - 13*j**3 - 15*j = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.063 + 0.553. Let b = -0.1 - -0.09. Let x = y - b. What is the third biggest value in 3, x, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-98)\/(-49)*(-3)\/12.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 174.57 - -4.43. Let c = 179.04 - u. Is c smaller than 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -11*m + 8. Let s(y) = 7*y - 5. Suppose 0 = -2*f - 3*f - 40. Give f*s(c) - 5*k(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 - m - 5 + 0*m**2 + 4*m**2 - 8*m. Is i(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 19 (b) 1\/5 (c) -1.32 (d) 0 (e) 1 (f) -0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 319 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.162? (a) -1.1 (b) -82 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 0*g = -4*h + 4, 0 = -4*g + 5*h - 5. Let r(c) = 3*c + 2*c + g*c. Suppose -5*d + 3*v + 0 = 2, -4*d - 3 = -v. Give r(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + 10001110?\nAnswer: 10001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**21)**(2\/39) assuming j is positive.\nAnswer: j**(44\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f**2 + 2068*f + 3 + 2 - 2060*f + 2*f**2 - 3 + 16*f**3 to q*f + z*f**2 + n*f**3 + a and give n.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-5 + -22 + 24) - -16.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 7*z = 3*w - 3, -3*w - 6 = -5*z. Let s(h) = -h - 1 + z*h**3 + h - 5*h + 3*h. Determine s(-2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9.97 - -9.970849. Round d to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/69 and 119\/48.\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a tonne in grams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -2. Let t be (-15)\/(-4) + -4 + (-23)\/(-12). Which is the closest to 0.2? (a) t (b) h (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -38*u**3 + u**2 - 1. Determine o(-1).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 0*y + 9*y**2 + y + 6*y**3 + 7*y - 12. Let u be 6\/9*(-1 + 13). Let f be p(u). Round f to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1211724 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 40518155 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 AM and 2:30 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(2\/5))**(3\/7))**47)**(-33) assuming l is positive.\nAnswer: l**(-9306\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*l**3 - 3 + 1 + 2 - 5*l.\nAnswer: 5*l**3 - 5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25.4999851 + 25.5. Round y to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -77\/104 - -177\/520. What is the nearest to 2\/7 in t, 6\/11, -1, 895?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 85*f - 80*f. Calculate the remainder when f is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 729, 5806, 19595, 46452, 90733?\n\"Answer: 726*o**3 - 5*o + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 7*z**2 + 2*z + 2. Let w(b) = -21*b**2 - 6*b - 6. What is 17*a(c) + 6*w(c)?\nAnswer: -7*c**2 - 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/14 and 91\/544.\nAnswer: 3808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100 (base 2) to base 10.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3*b = -100. Suppose -f = z - b, -2*z - 185 = -3*f + 2*z. Let q = f - 17. 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(p) be the second derivative of 7*p**4\/6 - 11*p. Let j(y) = -y**2. Determine j(a(i)).\nAnswer: -196*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - 5*s**2 - 4*s + 6. Let a be q(6). Calculate the greatest common divisor of 9 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 256951455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a**2\/3 + 4674*a - 2183104\/3 = 0. What is a?\nAnswer: -14176, 154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 2*y = 0, -5*y + 4 = -11. Let g = -0.153 - -0.079. Let i = g - 4.926. Is i less than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 + -59\/4. Let h = 10 + -6. Which is the closest to -2? (a) i (b) h (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 395, -23, -719, -1693?\n\"Answer: -139*d**2 - d + 535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.07299 - 0.017025. Let s = -6 + 6.09. Let x = s + p. Round x to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 92 = -4*d, 92 = -5*t - 1803*d + 1799*d for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 320677298?\nAnswer: 2, 37, 173, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 3*z + 63 = 0, 5*p + 4*z - 758 = -626. Calculate the lowest common multiple of p and 32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6211 + -4241. Let u = 4423 - b. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 220777, -1\/5, -0.1.\nAnswer: -1\/5, -0.1, 220777","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(490) + sqrt(10) + (sqrt(1210) + sqrt(1210)*5 + sqrt(1210) - sqrt(1210)))\/((-2*sqrt(320))\/(-1*sqrt(324) - sqrt(4))).\nAnswer: 75*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 11:08 AM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 6, 2, 0.1, -0.56?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 47 + 125. Let r = 75 - j. Let z = -96 - r. Which is the smallest value? (a) -0.2 (b) z (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31*p - 30*p - 1 - 1)*(4*p**3 + 0*p**3 + 3*p**3).\nAnswer: 7*p**4 - 14*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j, -f = -0*f - 5*j - 325. Suppose 0*z = -5*z + f. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/414 and -95\/42.\nAnswer: 2898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + 26*n**2 + 68*n - 322. Let v be h(28). Solve 3*x + 2*r - 3 = 0, -r - 2*r = -5*x - v for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10a4 (base 13) in base 9?\nAnswer: 3170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of 2429*t**6\/120 - t**5\/60 - 1247*t**4\/24 + 1427*t**2. Find the third derivative of f(y) wrt y.\nAnswer: 14574","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 3:56 AM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from hhuhhuuh.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 5. Let c(l) = 1. Let i(s) = -33*c(s) + 6*o(s). Suppose -3*j - 35 = -44. Let p = 2 - -6. Let y(n) = -n**2 + 8. Give j*y(h) + p*i(h).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/3 + (-132)\/(-36). Solve 0 = 5*y + 2*b + 2, -7*b = 3*y - s*b + 4 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -94 in 2\/9, 14, 0.1, 0, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15\/481 - -23253\/5291. Which is the smallest value? (a) t (b) -3 (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 13998 - 15?\nAnswer: 13983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - 11.4. Let r = 13.96 - 14. Which is the smallest value? (a) 2 (b) 0.5 (c) g (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/11, 39, 3, -4\/3, 2?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2497 - -8?\nAnswer: -248f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37 + 6 - (-218 - -178)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 4 - 1. Suppose 62*z = 164*z - 65*z - 555. Sort -3, s, z, -4 in ascending order.\nAnswer: -4, -3, s, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1115767368?\nAnswer: 2, 3, 89, 174121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1148 - 995.4. Let q = 153 - n. Put q, 3, 0.3 in decreasing order.\nAnswer: 3, q, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20214581723 take away -0.28?\nAnswer: -20214581722.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 PM and 6:21 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 1. Let c = -2.5 - -2.2. What is the second smallest value in c, a, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -u - 18, -22 = 8*u - 3*u + 3*q for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**4 - 2*n**3 - 10*n**2 - 6*n.\nAnswer: 2*n*(n - 3)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68424 = -40*b - 68544 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2*f = -10, f = 3*c - c. Let x be (-229)\/3 + c\/(-6). Let r = x + 86. Solve -5*v + r = -5*s, 3*s + 2*v + 7 = 1 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 258.2, 0.09, 1\/4, 95 in descending order.\nAnswer: 258.2, 95, 1\/4, 0.09, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, c: 12}. Give prob of picking 3 c.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -285 + 288. Suppose 0 = 3*s - 8*o + j*o - 27, 2*s + 3*o = -1. Solve -v + 3*h = 12, -h - s + 1 = 2*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.6 + -3.4. Which is the second smallest value? (a) -2\/9 (b) -5 (c) -2 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 55 + -51. Suppose 2 = o*r - 10. Find the third derivative of 14*h**5 - 9*h**2 + 2*h**5 + r*h**5 wrt h.\nAnswer: 1140*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27+11\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 142628293913 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 11 - 1. Let b(v) = -v**3 + 5*v**2 - 4*v. Let i be b(j). Suppose 2*q - i = -0. Solve -2*f - 1 - q = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 7. Let r be q - -2 - (0 + 3). Let t be -4*(-2 + 6\/4). Solve r*f - 19 = -x, 0 = 3*x + t*x - 3*f + 17 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 5*k - 23, -k - m - 11 = -6*m. Let n be ((-5)\/10)\/((-141)\/(-72) - 2). Solve 4*d = 6*j - j + n, -j - k = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -115*w**2\/2 - 327*w - 131. Is b(-22) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -49cab + 4?\nAnswer: -49ca7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -1, 0, -15, -52, -117, -216, -355?\nAnswer: -540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2201 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6300)\/2520)\/(85\/4)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-8) + 41\/4. Suppose -m*p = 5*p - 3720. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101 (base 4) to base 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -68 - -105. Is 28 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vsv when three letters picked without replacement from {s: 3, b: 3, v: 5}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 19*j + 2. Let x be g(2). Let m = -28 + x. Suppose -2*u + b = -45, m = -4*b - 8. Calculate the highest common factor of u and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 813 - q**2 + 9*q - 5*q + 11*q - 857.\nAnswer: -(q - 11)*(q - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 4 + 9)*((0 + 0 - z)*(-4 - 2 + 4) - z - 5 + 5)*(z**3 + 3*z**4 - 2*z**4 - 4*z**3).\nAnswer: z**5 - 3*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 7 - v**2 + 18*v**3 - 14*v**3 + 0 - v**4 in the form s*v**3 + j*v**2 + w*v**4 + x + h*v and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -4*j**2 - 30*j + 16. What is v(-10)?\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**3 + 1590*c**2 + 39888*c.\nAnswer: -3*c*(c - 554)*(c + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-581)\/14)\/((-1)\/2)*(50 + (-76 - -25))?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - 6 - (326\/(-16) + (-69 - -79))?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39418 is divided by 219?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yrry when four letters picked without replacement from yrrryrr?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + j = -144. Calculate the greatest common factor of j and 168.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39575 (base 10) to base 5\nAnswer: 2231300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1124 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 49*6\/(-12)*2. Let w = 1 + 8. What is the remainder when (-3 - (6 + h)) + -1 is divided by w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37 - 4. Suppose -i = 67 - 89. Calculate the highest common factor of c and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l, 1 n, and 1 q when four letters picked without replacement from wxwnlwlxqnxxxwyxqnww.\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1 - 4\/10) + 364\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -1 - 14. Let n = -1 - -0.5. What is the smallest value in 2, c, n?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 29*s. Let y(j) = -5*j**2. Calculate t(y(k)).\nAnswer: -145*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 260?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, n: 1, z: 2, k: 1}. What is prob of picking 1 n, 1 k, and 1 w?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -10698?\nAnswer: -1\/3566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - (-60)\/25)\/((-36)\/(-30)). Let i = -1 + -2. Which is the second smallest value? (a) k (b) i (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yjyjnnbbjjbjjqbybyyn. What is prob of picking 2 j and 2 n?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**5 + 42*b**4 + 11018*b**3 + 21975255*b**2 wrt b?\nAnswer: 60*b**2 + 1008*b + 66108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -17251 (base 10) to base 15\nAnswer: -51a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 800\/7 - 114. Let b = -0.7 + -7.3. Let j = b - -8.5. Put 3\/5, j, f in decreasing order.\nAnswer: 3\/5, j, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15825*t + 17683*t + 10729*t - 13564*t as v*t + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c. Suppose 0 = 5*f - 7 + 2. Suppose 2*o - 3*o = -f. What is the remainder when q(1) is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 12*y**2 - 6498*y + 66918. Calculate u(531).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 PM and 5:32 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13\/48 - -1\/16. Let m = -26 + 16. Let x = 11 + m. Is c greater than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.74647 rounded to 1 dp?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(0 + -1 + ((sqrt(288)*-2 - sqrt(288))*-5 + -5*(sqrt(288) + -1 + sqrt(288)))**2 + -2).\nAnswer: 3600*sqrt(2) + 43332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.05*-8.\nAnswer: 16.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 1, -2\/9 in decreasing order.\nAnswer: 1, -2\/9, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 118\/1229, -1, -2\/11.\nAnswer: -1, -2\/11, 118\/1229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 - -8*48\/10. Let w = d - 41. Which is the second smallest value? (a) -2\/13 (b) w (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -5, -1\/8, -0.4, 0.04?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -730923, -730828, -730677, -730476, -730231, -729948, -729633?\n\"Answer: -a**3 + 34*a**2 - 730956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 4*y + 22 = 0, 2 = -2*o - 4*y + 5*y. Let h(a) = -a**3 - 3*a**2 + a + 1. Let b be h(o). Let l be (-4)\/(b - 0\/2). Solve 3*u = l*u - 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((2105\/(-3))\/5)\/(2\/(-6)). Suppose -l = -5*z + 2484. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -3*p + 11. Calculate the remainder when v(-4) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -116064 (base 7) to base 2.\nAnswer: -101001101000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 459*x**2. Let q(f) = 2*f**2. What is d(q(h))?\nAnswer: 1836*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r**3 - 3 + 3 - 89*r**3.\nAnswer: -92*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*z**3 - 3*z**3 - 2*z**3)*(49*z - 118*z - 70*z) to the form v*z**3 + u*z**2 + c*z + b + a*z**4 and give a.\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 807*k - 439*k - 4602*k**2 - 367*k + (2 + k - 2)*(0*k + 0*k - k) - 2*k + 2*k - 2*k**2 + 3*k**2 + k**2 - k**2.\nAnswer: -4602*k**2 + k + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 850046026?\nAnswer: 2, 313, 1357901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3397 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 3571?\nAnswer: -3576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (3*(sqrt(168) + sqrt(168) + sqrt(168) + (sqrt(168)*-1 - sqrt(168) - sqrt(168)) + sqrt(168)))\/(sqrt(294)*-2).\nAnswer: -3*sqrt(7)\/7 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -1 - (-11 - -14)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -5*x**2 - 11. Let p(j) = -27*j**2 - 282*j - 66. Let h(a) = 6*n(a) - p(a). Suppose h(o) = 0. What is o?\nAnswer: 0, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 285 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3602666 - 3?\nAnswer: 3602663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 21*m**2 + 13*m + 514. Determine q(-20).\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 63\/(-35) - -2*1. Factor 1\/5*l**4 - 2\/5*l**3 + 2\/5*l + 0*l**2 - r.\nAnswer: (l - 1)**3*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -389 - 482?\nAnswer: -860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4980226931 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1999 + -87?\nAnswer: -1a53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 1:26 PM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 21542, 86168, 193880, 344678, 538562, 775532, 1055588?\n\"Answer: 21543*q**2 - 3*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 + 94. Calculate the remainder when j is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 190 divide 1392\/(-232)*(1 - 284) - -12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 41*z**2 + 3 - 87*z**2.\nAnswer: -46*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-28)\/(-70) + 1397\/(-5). Let p = n - -552. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 416 and 156.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) 4 (c) 69 (d) -28\/9 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do 5\/199208 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/715 and 11\/199910?\nAnswer: 28587130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 6*a - 4*a - 1810 = 0, -2*a = 2*i - 730. What are the prime factors of i?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 444*z - 445*z, 310 = b - 5*z. Calculate the remainder when b is divided by 70.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vbv when three letters picked without replacement from {u: 1, b: 1, p: 2, v: 4}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(1\/2)\/p*(p*p*p\/(p**(-1\/3)\/p))\/p)\/(p**(1\/12)*p**11\/p))**50 assuming p is positive.\nAnswer: p**(-625\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216 = 2*i - 4*l, i + 5*l - l + 84 = 0. Let g = i - -315. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 880, 1762, 2644, 3526, 4408?\nAnswer: 5290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 7*x**2 + 7*x + 8. Let q be j(-4). Let k = q - 89. Solve 0 = k*s - y + 12 + 6, -5*y - 5 = 4*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 11, u: 3}. What is prob of sequence upu?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 846? (a) 4 (b) -5 (c) 151 (d) 3.3 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 47, 0.207?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -42111314?\nAnswer: -42111320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 3*m = -m + 4, -2*i = 4*m + 14 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -28, -1, 1.\nAnswer: -28, -4, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 + 4*y + 2. Let q(d) = -d**2 - 6*d + 4. Let m be q(-6). What are the prime factors of s(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -2\/11, -0.4, -2, -40\/7?\nAnswer: -40\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-93 - -168) + -106 - (5 - 1).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -7. Let l = 3.004 - i. Round l to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 35 = 5*a - r, 0 = -4*a - r + 43. Suppose 0 = x + 1, 0 = 4*o - 3*x + x + a. Let h = 37 - o. Calculate the greatest common divisor of 10 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26615, -53067, -79519, -105971, -132423?\nAnswer: -158875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 1 = -3*a, -a - 1 = -0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 24*g**2 + 131*g + 5. Give k(15).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d**4 + 420*d**3 - 12510*d**2 + 111900*d - 99807 = 0. What is d?\nAnswer: 1, 17, 19, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 193415160593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-9) - 151\/(-3). Suppose -n = 5*x - 5*n + 53, -56 = 5*x - 3*n. Let p = x + s. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 81\/63*((-3542)\/140 - -26)\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 585950860 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 742 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2168 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1932 is divided by 357?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {n: 1, z: 7}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 79605314.\nAnswer: 79605314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*c + c + 8*c + 8*c**2.\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 22*p**2. Let c(j) = 10*j + 19*j + 24*j + 38*j - 6*j. What is z(c(o))?\nAnswer: 158950*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = 4*o - 73, 3*o - 7*q - 8*q = -1134 - 276 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -219*j + 30 = -226*j - 4*a, -49 = 3*j + 5*a. Suppose b + y - 6 = -b, -4*b = 3*y - 12. Solve -t = g - j, -b*g = -5*t + 10 - 24 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6939)\/11 - 4\/22. Let r = v - -1651. What is r rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 39*j**5 + 17951*j**4 - 31099*j**3 - 66923*j**2 + 31060*j + 48972 = 0. What is j?\nAnswer: -462, -1, 1, 106\/39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 - 3\/6*0. Let w be 2\/g*4\/9. What is the nearest to 0 in -0.2, w, -1\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + -4 - (-2 + (0 - -2)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 - 6*w**2 + 3*w + 16. Determine g(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 1668 = 2*b + 549, -4*b + 2256 = 4*u. Does 19 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + c. Let v be l(2). Let x(n) = 3*n**2 + 5*n - 3. Let z(i) = -7*i**2 - 9*i + 6. Let y(r) = -9*x(r) - 4*z(r). Does 12 divide y(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 13 + ((-12)\/10)\/(4\/10). Solve -3*v - y = -v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -15 (b) -55 (c) -0.4 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 5*z + 43 - 15 = 0, 3*z = -3*f - 6. Suppose 5*a - f*a = 8. Solve -16 = a*b + 3*h, -3*b + 5*h + 12 = -5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, g: 1, z: 1}. What is prob of sequence gsz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 71a - 0?\nAnswer: 71a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3518, 5, 3, 2, -5 in descending order.\nAnswer: 5, 3, 2, -5, -3518","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25\/24 + 889\/792. What is the common denominator of m and 41\/33?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3673*i + 539441 = 1276*i for i.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 380 is divided by 155.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(3840))\/sqrt(12) - (-5 + sqrt(5) + (sqrt(405))**2 + -5)) + 2 + -1 + -5.\nAnswer: -399 - 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.8 + -0.2. Let u be (-41)\/(-44) - ((-18)\/11)\/(-9). Sort u, -1\/3, t in decreasing order.\nAnswer: u, -1\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 5*v + 182, -2*v + 115 = -4*t + 771. Calculate the remainder when 330 is divided by t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29 + 17.5. Let k = i - 2.5. Let c = k + 13.44. Round c to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -52*g**3 + g**2 + g. Let j be m(-1). Suppose 4*s + 2*y = 52, 4*s - j - 6 = -5*y. Calculate the smallest common multiple of s and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*d = 51*d + 1810 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 - 9*s - 8. Let m = 75 + -45. Let j = m + -27. Calculate the remainder when t(12) is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 2*p - 12 = 0, -3*n = 2*n + 2*p - 14. Suppose 8 = -3*g - n*f, 6*f = 3*f + 6. Let l = -27 + 24. Which is smaller: g or l?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l - l**4 + 0*l + (-2*l**3 + 2*l**3 - l**4)*(4 - 5 + 5 - 2 + 7 - 2 + (0 + 2 - 1)*(1 + 4 - 4) + 8 - 3 + 1).\nAnswer: -15*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 903671 to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 232 times 0.05168\nAnswer: 11.98976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 40) + 27 + -4.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -47 - -148. What is the lowest common multiple of 10 and c?\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 21*i - 638. Calculate the remainder when 4870 is divided by i.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*j**2 + 2*j**2 + 3 + 124*j + 1 - 2*j**3 - 125*j to the form k*j**3 + f*j**2 + i + s*j and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1116\/11 or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 1 + 0*c**2 - 5*c + c**2 + 1. Let m be 216\/16*2\/3. Let l be (m\/6)\/((-3)\/(-6)). Calculate r(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(143)*2 - sqrt(143))*3)\/((sqrt(55) - (-1*sqrt(1375) + sqrt(55)))\/sqrt(5)).\nAnswer: 9*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 5*q - 0*u + 3*u, 0 = -3*u + 9 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (166*x - 80*x - 84*x + 3)*(-x**2 + 2*x**2 - 5*x**2).\nAnswer: -8*x**3 - 12*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 14*a**3 - 6*a**2 - 225*a + 52. Is c(25) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(343) + ((2*sqrt(343))**2 - sqrt(343))*-6)*4 + (sqrt(343) + 1)**2 + 2 + sqrt(343) + 4)*-2 + -2.\nAnswer: -434*sqrt(7) + 65154","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -314, -720, -1196, -1736, -2334, -2984?\nAnswer: -3680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 463368732?\nAnswer: 2, 3, 19, 139, 14621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - -1. Let k(h) = 3*h**2 + u*h**2 - 2*h**2. Let o(f) = 17*f. Let s(q) = 14*q. Let t(a) = -5*o(a) + 6*s(a). Calculate k(t(v)).\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a meter in millimeters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**2 + 3*i. Suppose 4*m + 2*z - 14 = -m, -3*z = 3*m - 12. Let c(l) = -5*l**2 + 2*l**2 - 2*l**m + 6*l**2 + l. Determine -6*c(r) + 2*y(r).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 45 - 23133501?\nAnswer: -23133434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1611, 1512, 1353, 1134, 855, 516?\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 8*p - 132. Suppose 0 = 2*u + 2*u + 3*m - 5, 5*m + 5 = 0. What is the remainder when (-86)\/((2 - 1 - u)*2) is divided by p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 241*n**5 - 8*n**2 + 1457*n**4 - 1459*n**4 + 71*n - 88*n wrt n.\nAnswer: 14460*n**2 - 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 0*h = -40. Let g(s) = -4*s + 5*s - h*s. Let c(o) = 1. Let y(x) = x - 5. Let b(d) = 5*c(d) + y(d). Determine g(b(u)).\nAnswer: -9*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - 13*p - p)*(p**3 - 3*p + 3*p + (3*p**2 - 5*p**2 + 3*p**2)*(2 - 2 + p))*(-2 + 0 + 1).\nAnswer: 26*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l + 19*d - 164 = -27*d, -4*l - 5 + 34 = -l + d for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25 - 25. Suppose y = v - 9 - 0. Is 6 bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13*(2 + -3) + 14 + (7 - 64)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -76325, -76183, -75947, -75617, -75193?\n\"Answer: 47*w**2 + w - 76373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*t + 11 = -15*t + f, 32 = -4*t - 5*f for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*d - d - d)*(-200*d**3 + 375*d**3 - 706*d**3)*(5 - 1 + 1) to the form n + u*d**2 + h*d**4 + g*d + b*d**3 and give h.\nAnswer: -2655","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/((-15)\/(-14))*216\/(-144).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of -a**5\/60 - 16*a**2. Suppose 4*b + 40 = 2*o + 2*o, -3*o = 2*b - 15. Let f(d) = 128 - 257 + o*d**2 + 128. Give k(f(n)).\nAnswer: -49*n**4 + 14*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -6 (b) 1\/2 (c) -0.15 (d) -0.2 (e) -221\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 337 - 476. Let s = r - -124. Which is greater: s or -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + 19*q**2 - 11*q - 47. Let s be g(19). Let h = s - -169. Is 12 a factor of h\/(-2)*(-4)\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 27*r**3 + r**2 + 15*r - 197. Is x(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, t: 1, r: 2, v: 1, w: 1, y: 1}. What is prob of sequence rvy?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -3*z + 12, -l + 4*z + 3 = 9 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 106373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1 (b) -3\/7 (c) -1.5 (d) -3 (e) 87 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5806092 by -1935364.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 2 c when four letters picked without replacement from cccddcdcccccdcd.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 - 14*x - 13. Let s be p(-13). Suppose -4*d = -s*d - 3*b - 4766, 5*d - 4*b - 5957 = 0. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -4*n**2 + 52*n - 98. What is the smallest common multiple of j(3) and 20472?\nAnswer: 225192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80089*m**5\/3 - 961634*m**4\/3 - 25221242*m**3\/3 - 101855108*m**2\/3 + 720769*m\/3 - 1274\/3 = 0 for m.\nAnswer: -7, 1\/283, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 218 by 109.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-2\/15)*y**8)\/(y**(-6\/5)*y\/(y\/y**(-10)*y)) assuming y is positive.\nAnswer: y**(64\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 5*y + 3 + 12, -3*y - 9 = 2*g. Suppose -6 + g = -3*z. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-18473)\/65 - 3\/(-15)*-4. Let o = j + 578. What are the prime factors of o?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 541 + -532. Find the third derivative of -g*w**2 + 34*w**3 + 37*w**2 + 178*w**2 wrt w.\nAnswer: 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 361 + ((7 + -10)*2 - (0 - 1)). What is the greatest common factor of 16 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -10) + (0 - ((-7 - -3) + 3)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -93.79 + -0.21. Let u = 93.9 + r. Sort -2\/13, u, -2, -1\/3 in decreasing order.\nAnswer: u, -2\/13, -1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54592, -54557, -54500, -54421, -54320, -54197, -54052?\nAnswer: -53885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiiixxii. What is prob of sequence ixix?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c - 1. Let z(s) = 4*s + 2. Let t(u) = -3*r(u) - z(u). What is t(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tzwfzzmnwtzzn. What is prob of picking 1 f, 1 m, and 1 w?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12693, -25371, -38049, -50727, -63405, -76083?\nAnswer: -88761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -422*l - 9210. Determine g(-22).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 88*n + 3 = 83*n, -n = -1 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(931) + sqrt(931) + 6*(2 + sqrt(931)) - (2 + (1 + sqrt(931) + sqrt(931))**2)) + -4)*-1.\nAnswer: -28*sqrt(19) + 3723","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1587.394 - -8.994. What is w rounded to the nearest 100?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 242 is divided by 72.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**2 - 88*t - 22380. Determine u(134).\nAnswer: 1740","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 37635497 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 292 = 3*y - 7*y, -4*g - 3*y + 292 = 0. Suppose -2*x - 310 = -2*c - 2*c, 5*x = c - g. Calculate the highest common divisor of 52 and c.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 65 + 15 = 0. Suppose -197*s - 3*d = -196*s - 25, 5*d = -3*s + 47. Solve 0 = -4*l + 4*p + h, -s*p - 2 - 6 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1991, -2272, -2557, -2846, -3139, -3436, -3737?\nAnswer: -4042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -53046 - -53045.559998. Let z = -0.44 + 0. Let h = z - k. Round h to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -92 + 88 + -44*(-140)\/1520.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.1, -0.3, -3\/7, -13?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d1983 + 2?\nAnswer: -d1981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of -i**5\/6 + 3*i**2 + 19. Let n(d) = -29*d**2. Calculate j(n(o)).\nAnswer: -8410*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/2*(-32)\/24.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 6975677, 13951323, 20926971, 27902621?\n\"Answer: g**2 + 6975643*g + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -129*q**2 + 2969*q - 44. Determine j(23).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (6604\/20)\/(13 - (-13970)\/(-1075))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 761620355 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125578*u - 186 = -3*n - 125572*u, 0 = n + 3*u - 82 for n.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123938 is divided by 78.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*((-3)\/(-2) + 1). Suppose -m + 19 = -0*m + 3*c, 0 = -4*c + 20. Suppose 2*x = m - 12. Put -3, x, i in decreasing order.\nAnswer: -3, x, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3585 = 5*z - 8*d + 3*d, 0 = -2*z + 4*d + 1440. Does 6 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -8 and -71930.\nAnswer: -71938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 338 and 563732?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + 12*n**2 - 20*n + 5. Let k(u) = u + 2. Let q be k(8). Let l be a(q). Differentiate -5*t - 7*t + l*t + 40 - 4*t with respect to t.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20321120212 (base 4) in base 5?\nAnswer: -1044112243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 60181 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 868175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 64*d**2*s**3*t - 3*d**2*s**3 - 2*d**2*t + 5*d**2 + 1048*d*s**3 - 8606*d*s**2*t + 4*d*t - 2*d + s**2*t + 2*s**2 wrt s.\nAnswer: 384*d**2*t - 18*d**2 + 6288*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llhlflrrllvrllhlr. Give prob of picking 3 l and 1 h.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.28 + 16.72. Let q = -2.1 - -24.1. Let n = h - q. What is the closest to -2\/5 in 3\/7, 2\/5, n?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 7, u: 3, g: 9}. Give prob of picking 2 g and 1 u.\nAnswer: 36\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1\/6, -98, -45 in decreasing order.\nAnswer: 1\/6, -3, -45, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a = -12608 + 400. What is the hundreds digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 + 23*j - 124. Let w be t(11). Suppose 2*r = 2*z - 5*z, 0 = 2*r + z - w. Calculate the smallest common multiple of 280 and r.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of y**5\/60 - 7*y**4\/24 + y**3 + 2*y**2. Let d be x(11). Suppose -5*z + 0*z = -d. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -95, 1 in increasing order.\nAnswer: -95, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jxjjyyy. Give prob of sequence yy.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/337 and -3\/7586881.\nAnswer: 7586881","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + -35 - ((-32 - -38) + -20).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*y + 4*v, -2*y - 5*v = -y + 21. Let b = 2 - y. Solve 5*p + 5*z = 10, -z + 5 = b*p + p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 400 and 2807600.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 43 = 197. Let u = z + -49. Suppose 3*f - 188 = -23. What is the highest common divisor of u and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k\/(k*(((k*k*k\/(k**3*k)*k)\/k)\/k)\/k*k))\/k*k*k)\/(k**(-1\/2)\/k))**(-7) assuming k is positive.\nAnswer: k**(-77\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5*(-8)\/(-20) + (-24)\/2. Let a(g) = -g**2 - 10*g + 8. Let z be a(f). Factor 40 - 15 + 75 + 4*o**2 - z*o - 32*o.\nAnswer: 4*(o - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 17 + 2 + -3 + -3. Suppose -f + 84 = -5*r, 179 = 2*f - 4*r - c. What is the greatest common divisor of f and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49b (base 12) to base 13\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 22*l**2 - 3*l + 3. Let u be h(2). Suppose -u = -f + 2*f. Let r = f + 131. Is r a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 126, 348, 668, 1080, 1578, 2156, 2808?\n\"Answer: -f**3 + 55*f**2 + 64*f + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1817218 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 z(t) be the first derivative of -3*t**2\/2 + 41*t + 1. Let l(i) = -57*i**2 - 104*i - 2. Let g be l(-2). Does 23 divide z(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15330672407 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/10 and 47\/4120?\nAnswer: 4120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2580100694?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 261*h - 183*h + 384*h + 431*h as x*h + j and give x.\nAnswer: 893","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 q when two letters picked without replacement from {u: 2, f: 10, q: 2}?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/(-7))\/((138\/36)\/23)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4*(-2 - 10\/(-4)). Suppose 0*s - z*s - 3*p = -21, -s - 22 = -5*p. What is the remainder when s*(21\/9 - 0) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 265703 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7258 - 7169. Which is smaller: 41 or q?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*q**5 - q**5 - 4*q**5 + (6*q**2 - q**2 - 3*q**2)*(q**3 + 0*q**3 + 2*q**3 + (2*q**2 + 3*q**2 - 3*q**2)*(2*q + q - 2*q)).\nAnswer: 9*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -601 = -3*c + 521. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -33924782, -67849550, -101774318, -135699086, -169623854?\n\"Answer: -33924768*z - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - -22)\/(((-8)\/(-4))\/144). Calculate the greatest common factor of 12 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + o - 5*o**5)*(-5 + 9 - 9).\nAnswer: 25*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -v**3\/3 + 2*v**2 + 6*v - 3. Let b be (0 + 6 - 4) + 3. What is l(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**5 + 6*m - 6*m)*((3 + 1 - 2)*(1 + 0 - 2) - 1 - 1 + 0).\nAnswer: 8*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10672 and 295481.\nAnswer: 667","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 90 = -90. Factor 79*s**2 + 2*s**2 + t*s - 8*s + 4 + 8*s.\nAnswer: (9*s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -140*t + 6286. What is s(45)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 - -12. Let f(m) = -m**2 - 13*m + 11. What is the units digit of f(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8 - -19 - ((-40)\/560 - (-26)\/(-28)). Solve 48 = 36*s - b*s for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -48 - -212. Let c = 202 - d. Solve 3*f - 23 + c = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2152442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 14880822 a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000392018996 to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5185 and 9333?\nAnswer: 46665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.4505321 litres?\nAnswer: 450.5321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 7*w + w. Solve 3*b + 0*t = -3*t - 18, w = 4*t + 8 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -11, -2\/7, 256 in descending order.\nAnswer: 256, 0, -2\/7, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -134 - -274. Solve 0 = -o - 138 + k for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -705.7 + 603. What is u rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i**2 - 5*i + 4. Let u(d) = -d**2 + 1. Let k(p) = q(p) - u(p). Let t(o) be the first derivative of k(o). What is the first derivative of t(h) wrt h?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5344 + 5348. Solve -3*f + 17 = 4*g, -f = 3*f - y*g - 4 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -269*w + 71*w + 51*w - 312*w - 2 + 2 + 8*w + 2 - w - 2 - 4 + 4 + w + (-3*w + 2*w + 0*w)*(-5 + 3 + 1).\nAnswer: -450*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 403 - 400. Calculate the greatest common divisor of t and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 259, 266, 273?\n\"Answer: 7*l + 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 974, -7, 3 in descending order.\nAnswer: 974, 3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 3*i**2\/8 - 42003*i\/2 + 588084003\/2 = 0.\nAnswer: 28002","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = 5*o + q - 35, 0 = -5*q - 25. Suppose 9*u = 10*u - 4. Let i be (-230)\/(-35) - u - 2. Does o = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000128699 rounded to 6 dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1375 and 0.4518704?\nAnswer: 1374.5481296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, -5, -51, -143, -293, -513, -815?\nAnswer: -1211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express ((v + 0 + 0)*(-3*v + 3*v + 2*v) + 3 - 3 + 2*v**2 - v**2 - 2*v**2 + v**2)*(2*v**2 - 5*v**2 + 2*v**2) as b + z*v + k*v**2 + s*v**3 + c*v**4 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 17908 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: Simplify 2 + ((sqrt(209)*-5 - sqrt(209))*-5)\/(4*sqrt(704) + sqrt(11)).\nAnswer: 2 + 10*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-37\nAnswer: -18.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2842689 is divided by 1039.\nAnswer: 1024","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - -11. Suppose v = 19*t - 3*t - 384. Find the second derivative of t*a**4 - 6*a - 25*a + 0*a**4 wrt a.\nAnswer: 288*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 4. Let v = -5.06 + a. Is -1 greater than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 5 = -15, -24 = 4*b - 4*t for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 - 3*y**2 - y - 1. Let r be f(-3). Differentiate 3 + 0 + r*a - 4 wrt a.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 17*h**2 + h + 40. Give r(17).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -6. Let j = -3.6 + v. Let q = j - -4. What is the smallest value in q, 1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 835 or 0?\nAnswer: 835","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4729.\nAnswer: 4729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/9 (b) 21\/2 (c) -3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + 2 - 2*s)*(-1 - 1 + 4) - 3*s - 5*s + 4*s)*(217 + 5*s - 107 - 106) in the form k*s + p + f*s**2 and give f.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 + 5*r**2 + 1. Let s be z(-5). Let f = 3 - s. Suppose 0 = -f*u + 5*y - 15, u - 4*u - 15 = -5*y. Which is bigger: 2\/9 or u?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 - 14*c - 12. Let d be u(-13). Let t be ((-12)\/24)\/(2\/4)*d. Let k be 0\/((-6)\/(-7 - t)). Put 13, -3, k, 4 in descending order.\nAnswer: 13, 4, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 13*s**2 - 11*s + 13. Let o(d) = 6*d**2 - 6*d + 7. Determine -11*o(w) + 6*p(w).\nAnswer: 12*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = 8*x - 69, 120153*m - 32 = -3*x + 120148*m - 3 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10332211122 (base 5) in base 14?\nAnswer: -16bb49c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/7)*z)**(1\/34)*(z**(-1)*z)**48*(z**(1\/2))**22\/(z**(-3)\/(z**(-5\/4)\/z)) assuming z is positive.\nAnswer: z**(5611\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 3 + 1 + 3*j**2 - 220*j + 6.\nAnswer: 3*j**2 - 220*j + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 12\/25 of a microsecond?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/25 - (-2)\/(-5). Suppose -3*d + 6*d + 132 = q. Is (-5 - -1)*561\/d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3145*h**4 + 706.\nAnswer: 12580*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -8*s**2 + s + 14. Give r(2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4811 rounded to two decimal places?\nAnswer: -0.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3279520 (base 10) to base 5.\nAnswer: -1314421040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7 + 0 + -9 - (0 - 4). Solve 4*s + 6 = -g + d, 4*g = 16 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -3\/5 (b) 115569 (c) 2\/19 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 times 14480972?\nAnswer: -101366804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7273 is divided by 22.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 f, and 1 l when three letters picked without replacement from fallellt.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 190 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9784 = -33*h + 136834. Is 11 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a. Suppose 5*w = 4*j - 69, 3*j + j - 19 = -5*w. What are the prime factors of t(j)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3978)\/(-91))\/(-51)*14\/8.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, v: 6, e: 3, p: 2, t: 1}. What is prob of sequence vpt?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + -4 + -3 + 1 + (2 + 9 - 6)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -4*x**3 + x. Let c be s(-2). Let v(d) = -48*d**2 + 34 + c + 28 - 90. Let g(q) = 3*q**2. Calculate g(v(r)).\nAnswer: 6912*r**4 - 576*r**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -20 in 4, 0.1, -98?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2396, -2400, -2406, -2414, -2424, -2436, -2450?\n\"Answer: -g**2 - g - 2394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m**3 + 2*m**2 + 6*m + 6. Let s be v(-2). Which is smaller: s or -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - 18*d**2 + 17*d + 10. Let n = -98 + 79. What are the prime factors of w(n)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22.8 + 23. Let w = -0.011 - -28.011. Let k = w + -27. Put k, n, 2\/7 in decreasing order.\nAnswer: k, 2\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136 = -34*a + 17*a. Put 3, a, 0 in descending order.\nAnswer: 3, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = -5*u + 34, -37194*u + 5*v = -37198*u + 85 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17864, 35719, 53574, 71429?\nAnswer: 89284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from vyjyjyjjasjjy?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/3 (b) 1 (c) 481\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 s when two letters picked without replacement from gosowrrgprsrorr.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0625262 to 3 decimal places.\nAnswer: -0.063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-2\/3))\/(y**(-5\/14)*y))\/((y*y\/y**(2\/51)*y)\/(y\/((y**(-1\/2)*y)\/y))) assuming y is positive.\nAnswer: y**(-52\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 8:27 PM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/5 (b) 111 (c) 5 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/288 - (-4)\/16*1?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/1 - 5) + 15810\/2040. Which is the closest to -1? (a) 1\/3 (b) -0.056 (c) -3 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 111520 and 533?\nAnswer: 1449760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6447, -5588, -4127, -2058, 625, 3928, 7857, 12418?\nAnswer: 17617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -58*r - 9*r**2 + 26*r + 13*r**2 + 6*r**2 in the form m + w*r**2 + l*r and give l.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -18.42 and -166.456.\nAnswer: 3066.11952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 3786*m**3 + 41 - 31.\nAnswer: 3786*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -3*d + 2*d + 3*d + d**2. Let o be k(-2). Let w be (20 + o)\/(3 + -2). Solve -w = -p - 3*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 18*t - 4. Let v be 2\/(-7)*t - (-784)\/343. Factor 2 + 1\/2*p**v + 5\/2*p.\nAnswer: (p + 1)*(p + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.83 - 0.57. Let p(g) = g**2 - 12*g - 8. Let i be p(13). Let z be 2\/i*15\/18. What is the third biggest value in z, v, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(220)\/(sqrt(30)\/(sqrt(24)\/sqrt(4))))**2*3.\nAnswer: 528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/15*39\/(-26).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 5*l**2 + 128*l + 54. Let f be r(-28). Let z(a) = -222*a + f*a - 3 + 3 - 202*a. Let t(j) be the first derivative of j**2\/2 - 1. Determine z(t(n)).\nAnswer: -34*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 + -4)*(-11)\/(2200\/(-16))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/(-72)*23\/5. Let n = 47\/18 - 5\/2. Let d = v - n. Which is smaller: d or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v**2 - 980*v + 2965. Determine l(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - 1) + (-25)\/(-5). Suppose -v*d + 0*d + 4*b + 366 = 0, 0 = -3*b + 12. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: d (base 15) to base 5\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3246*d**2 + 5*d**3 + 3243*d**2 - 89 + 6*d**3 - 6489*d**2.\nAnswer: 11*d**3 - 89","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -671\/399 + 2\/133. Suppose -3*v = -7*v. Let h be (v - 2)*15\/75. Which is the nearest to 0? (a) l (b) h (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 74.5 to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 91485 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 170641 a multiple of 215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)*2*-4)\/(sqrt(864) + 2*sqrt(864)).\nAnswer: -2*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.95*-21210.2\nAnswer: -20149.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 157 and 6049524?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32.2 + 37.56. Let o = 6 - v. What is o rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16508621, -16508694, -16508779, -16508882, -16509009, -16509166, -16509359, -16509594?\nAnswer: -16509877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 67 and 325486?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-360)\/(-135))\/(1 - -15). Factor 1\/3*f + 1\/2 + p*f**4 - 2\/3*f**2 - 1\/3*f**3.\nAnswer: (f - 3)*(f - 1)*(f + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2*h + 8 = -6*h, 3*o - 2 = -h. Suppose 36*n - 409 = 35*n. Suppose o*g - 409 - n = 0. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a**2 + 33*a - 41. Let q be z(-18). Sort -1, -6, q, 5 in decreasing order.\nAnswer: q, 5, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3282080001?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27062\/(-3866) + (-2)\/(-12)*94.\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -401*r + 3442. Give g(7).\nAnswer: 635","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0008700155 to 6 dps.\nAnswer: -0.00087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 0.15, -366\/25 in increasing order.\nAnswer: -366\/25, 0.15, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2230766222 to the power of 1\/3, to the nearest integer?\nAnswer: 1307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -157 - 10*c - 186 + 135 + 3*c. Let q be u(-30). Solve q*i + 2 = -4 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2760 and 2484.\nAnswer: 24840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 16*g**2 + 236*g + 168 = 0.\nAnswer: -14, -3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2077335 is divided by 230813.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2006 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 0 - 12\/8 - 7\/1 and -49\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**2 + 2*n + 12. Let y be g(8). Let o = y + -154. Solve o*a - 5*a - 6 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-264)\/231*14\/4. Sort p, -3, 1, 1\/5.\nAnswer: p, -3, 1\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 56968.62483 to the nearest 1000.\nAnswer: 57000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i - 2*i - 3*i)*(-i - 13*i + i).\nAnswer: 13*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 4*u - 44 = 0, 68 = -1246*v + 1250*v - 4*u for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 70493 divided by -43\nAnswer: -70493\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6351 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*b**2 + 75*b**2 + 60*b**2 + 67*b**2 - 348*b**2 + 56*b**2.\nAnswer: -27*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 10*j + 16 = 11*j, 5*k - 52*j - 61*j + 467 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*p - 30*p**2 + 56*p.\nAnswer: -30*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 5312*b + 127493. What is y(-24)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 4:06 AM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 6*a**2 + 4*a + 11. Calculate f(6).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 AM and 12:13 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.041 (b) 0.1 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of 27\/2*m**2 + 4\/3*m**3 - 7 + 5*m. Is y(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6541435?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1440 and 8?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of ((-41760)\/168)\/(-1 + (-76)\/(-84))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 330 = -3*i. Let u be i\/(-6) - (-2)\/4. Let m = u + 39. Which is greater: 10 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -372, 344, 2292, 6090, 12356, 21708, 34764, 52142?\n\"Answer: 103*d**3 - 2*d**2 + d - 474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qllllllklk. What is prob of sequence kkll?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, -48, -72, -100, -132, -168?\nAnswer: -208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**5\/2 + 120*o**4 + 54747*o**3\/2 + 1168013*o**2.\nAnswer: -o**2*(o - 394)*(o + 77)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v = 10*v + 1302. Is v a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 15?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*r - 4*r = 80*r - 1010 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by 44?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 521306304?\nAnswer: 2, 3, 53, 51229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.39 * 15339022\nAnswer: -5982218.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -13. Let d(v) = -v**3 + v**2 + 2*v + 89. Let n be d(5). Which is the third smallest value? (a) -23 (b) u (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1049609 to the power of 1\/3, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56, 133, 254, 413, 604, 821?\nAnswer: 1058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 272, 4, 2, 1, -1 in decreasing order.\nAnswer: 272, 5, 4, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 18859111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 339300 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6504 (b) 7\/5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of 224*n**6\/15 + 472*n**3\/3 + 486*n. What is the second derivative of m(h) wrt h?\nAnswer: 5376*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 508 and 3241167?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/9, 5, -0.08, -3\/8, 1\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 340 - 124 = 0. Let j(c) = -80*c**2 - c. Let n be j(1). Let t = n + s. Is 15 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 7. Solve -2*f + 1 = -s for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 620*i**2 - 317*i**2 - 311*i**2.\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 z when four letters picked without replacement from {n: 6, z: 2}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10226 is divided by 7069?\nAnswer: 3157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -5*s - s + 3*s. Let i(u) = -8*u - 3. Let h(y) = 1. Let b(v) = -6*h(v) - 2*i(v). Determine -6*b(d) - 33*m(d).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4.4 and 31671.\nAnswer: -139352.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.26 and 113.\nAnswer: 113.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 86, 218, 430, 716, 1070, 1486, 1958?\nAnswer: 2480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 164 = 2*n, -2*n - n = -9. Calculate the highest common factor of 51 and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -3*r**2 - 3*r + 6. Let z be d(8). Suppose 3*k + 55 = -5*p, -7*p + 2*p - 2*k - 50 = 0. What is the common denominator of -67\/12 and z\/(-12)*1\/p?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0645 - -2.6055. Let c = l + -2.27. What is the smallest value in -2.5, c, 0.1?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.00931 in -23.9, 15, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 9*p + 2*k - 316 = 0, -k = -3*p + 227. Is 21 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.06 + 0.06. Suppose -3*f + 3*z = -24, 3*f + 2*z - 26 = 3*z. Suppose n - 5*a = 29 - f, 0 = -4*n + 3*a + 12. What is the nearest to s in -0.6, 2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45936, -46054, -46262, -46560, -46948, -47426?\nAnswer: -47994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvvvsvvvvvssvv. What is prob of picking 3 s and 1 v?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 181451530?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 402 divide 33722976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/750510 and 89\/12912.\nAnswer: 6004080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1234 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 7*n**3 + 3*n**2 + 4*n + 2. Let q be v(-2). Let w = -35 - q. Calculate the highest common factor of 30 and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -5*s + 79. Let j be t(15). Suppose -24 + 32 = j*y. Let h(f) = 2. Let r(g) = -g - 4. Determine y*r(d) + 2*h(d).\nAnswer: -2*d - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53, 131, 235, 377, 569?\nAnswer: 823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -244 (base 16) to base 10\nAnswer: -580","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 + 0)*(-106*b**4 + 35*b**4 + 338*b**4) - 2*b**4 - 2*b**4 + 2*b**4 in the form d + a*b + y*b**4 + n*b**2 + p*b**3 and give y.\nAnswer: 532","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (36 + -11 + 0).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of p**5\/30 - p**4\/3 + p**3\/3 - 3*p**2. Let c be y(4). What are the prime factors of -4 + 13 - (1 + c)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 31\/5 of a century?\nAnswer: 7440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 15, -24\/19, -1, -0.025 in decreasing order.\nAnswer: 15, 1, -0.025, -1, -24\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11414 is divided by 25?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129 = -8*o + 9*o + 2*s, -4*o + 507 = -s. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + 48\/18 + (1581902\/6)\/7 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 1110?\nAnswer: 1113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -51, -0.0501, 214?\nAnswer: 214","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1697546?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 276005652.\nAnswer: 2, 3, 13, 151, 11717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4932551788?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -354 - -350. What is the tens digit of n\/20*-5 + 797?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 66811, 65987, 65163, 64339, 63515?\n\"Answer: -824*w + 67635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -12*p. Let q be g(3). Let i be 1\/3 - 672\/q. Suppose 2*n - 105 = i. Round n to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v - 12. Let y be l(-9). Let z(t) = -t - 2. Let a be z(y). What is the smallest common multiple of (a - 25)*12\/(-18) and 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 7:24 PM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1101 + 3?\nAnswer: 1104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 9815 and 2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, -5, 18, -5\/4 in increasing order.\nAnswer: -5, -4, -5\/4, -1, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 - 1)*(0*x**2 - 5*x**2 + 3*x**2)*(2*x**3 - 8*x**3 - x**3).\nAnswer: -28*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 385742 is divided by 385333.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/(-2) + (-457765)\/(-6314).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/48)\/((6\/4*-2)\/((-1005)\/(-1675))).\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3.964*-1.24\nAnswer: 4.91536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 PM and 1:50 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-7128)\/45 - 6) + 4\/10. Let h = -204 - z. Let t = 33 + -73. Does t = h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 6*l**2 - 7*l - 14. What is z(-6)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 251100 is divided by 133?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2052437414 to the nearest integer?\nAnswer: 1271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13000503 + 1?\nAnswer: 13000504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 2*c**5 - 17226*c**4 + 51518*c**3 + 1222626*c**2 - 51520*c - 1205400 = 0.\nAnswer: -7, -1, 1, 10, 8610","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, k: 4, z: 2}. What is prob of picking 1 k and 1 j?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9.727 and 0.4.\nAnswer: 3.8908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -v**2*z - 2061741*v**2 + 433633*v*z wrt z.\nAnswer: -v**2 + 433633*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**2 + 0*t**2 + 2*t**2 + (2 - 3 + 0)*(-t**2 - 3*t**2 + 6*t**2) - 2*t**2 + 1 - 1)*(-815*t - 29*t**2 + 815*t).\nAnswer: 145*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1632 + -337?\nAnswer: 1273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1118.7488879 + 0.005.\nAnswer: -1118.7438879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4}. What is prob of picking 3 o?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -601.2 - -593.454. Let b = 8 + p. What is b rounded to two decimal places?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwpwwwwpuwwpww. Give prob of sequence pwuw.\nAnswer: 11\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 20112102202 (base 3) to base 13\nAnswer: 4670c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeoeo. Give prob of sequence eooe.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2657 = -3*v + 5*x, -2 = -x - 0. Suppose 0 = 3*q - v - 293. Does 19 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of -262*c**5\/5 - c**4 + 678*c**3 - 2565. What is the third derivative of x(q) wrt q?\nAnswer: -6288*q - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2962 is divided by 1471.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -78*i**3 - 222*i**2 - 397*i**3 - 169*i**3 + 65*i**2 wrt i?\nAnswer: -3864","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-three sevenths of a week?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13881 and 2121?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = -5*d - 19, 2*r + 16*d - 15*d + 7 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34580 and 392255?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3402.126um in millimeters?\nAnswer: 3.402126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 61\/194 + -1703\/9118. What is the smallest value in k, 4\/5, 8?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 718672 * -13.7.\nAnswer: -9845806.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 232.328066 + -325.74119. Let p = r - -92.61312258. Let b = 0.8 + p. What is b rounded to 7 decimal places?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/389 in 0.05, 4\/7, 1\/2, -6?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of -y**3\/3 - 7*y**2\/2 - 4*y - 2. Let r be q(-6). Suppose -3*a + r*a + 12 = -3*j, -48 = -4*a - j. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -2, 5, 2, -16 in descending order.\nAnswer: 5, 3, 2, 1, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -12.726 and 25370.61.\nAnswer: 25357.884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + r - 1. Let d be g(-3). Suppose 3*w**2 - 3*w**4 + 6*w - d*w + 2*w - 2*w**3 - w**3 = 0. What is w?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, k: 11, g: 1, v: 4, a: 2}. What is prob of picking 1 a, 1 g, and 1 k?\nAnswer: 22\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -16.156 from -0.50947.\nAnswer: 15.64653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 10892 divided by -1\nAnswer: -10892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-29 - (-35 + 25)) + 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 239 + -130. Let l = 113 - p. Suppose t - 4*q - 10 = 3*t, -16 = l*t + 4*q. Which is the closest to 2? (a) t (b) 3 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1109800?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 383561\/45 - 8523. Let f = 4\/5 - k. Factor 16\/9*m**2 - 14\/3*m + 4 - f*m**3.\nAnswer: -2*(m - 3)**2*(m - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 1:36 PM?\nAnswer: 1:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 376213 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19795 is divided by 75?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-15*(-42)\/(-700)*(-5)\/18).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10*21*(-57)\/21546?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-4)*(52\/5 + -11).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 348 + -76. Calculate the smallest common multiple of n and 44.\nAnswer: 2992","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 7. Let o(c) = c**2 + 9*c - 33. Let x be o(3). Let u be 4 - (x - 4\/w). Solve -4*p + 0*j = -2*j, -4*p - 2*j - 8 = u for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y + 57*y**3 - 686 + 686.\nAnswer: 57*y**3 - y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 80 = 5*s - 3*t + 9*t, -t = 0 for s.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -35023167, -70046335, -105069503, -140092671?\n\"Answer: -35023168*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98863637 is divided by 32954540?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26.4 - -27. What is the third smallest value in -0.5, 0.4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14022, 28036, 42050?\nAnswer: 56064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, p: 10, f: 5}. What is prob of picking 2 f?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(684) - (-1 + sqrt(684))) + 5 + sqrt(684) + sqrt(684) + 0 + 0) + (sqrt(475) - (sqrt(475) + 0 + -5) - 2*sqrt(475)*-4))**2.\nAnswer: -104*sqrt(19) + 473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31370 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -391 - -390.9717. What is c rounded to three decimal places?\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 - 17*f + 20. Let i be g(13). Let y = i + 34. Solve 0 = o - y*o + u - 3, -5*o = -4*u + 15 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -5*c - 12. Let m be (c\/(-65))\/(12\/(-10)). Suppose 2*o - 11 = 3*a, 9*o = 10*o - 5*a - 16. Is m at least as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10087158?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 28515 divided by 2\nAnswer: 28515\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + f + 4667, -5*z - 2*f + 4*f = -7778. Suppose -z + 646 = -14*k. Does 3 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.14 and 28026.\nAnswer: -3923.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 699 is divided by 88?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -105\/2 - -52. Let w = 3 - 13\/4. Which is the third biggest value? (a) w (b) y (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 533 (base 11) to base 10\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 4, -7, -8.\nAnswer: -8, -7, -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = -r + 17, 4*p - 1222*r + 1227*r = -35 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 + (41 - -6))*(1\/2)\/(-1).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 e, and 1 y when three letters picked without replacement from eyhqcyh.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 7:43 AM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and 218?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -272*z + 2 + 24*z - 1 - 6.\nAnswer: -248*z - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 21 + (7\/(-21))\/((-2)\/24). Suppose 3*c - 2*c = u - 3, 5*u - z = 0. Solve -c*v + 4 = -v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of -5*o**2\/2 - 7*o + 13. What is the remainder when i(-8) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 + 5*h**2 + 2*h + 15. Calculate the remainder when m(-4) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 130 and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.648026us to nanoseconds.\nAnswer: 6648.026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-7))**(-47))**39 assuming i is positive.\nAnswer: i**12831","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 1921690?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 377 - 342 = 5*m. Solve 36 = -5*a + 4*y, 5*y = 2*a + m*y for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160 = -2025*n + 2005*n for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -20229920 less than -20229922?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 900909 and 930555?\nAnswer: 1647","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 12 = 4*f + 3*y, -3*y - 515794 = -2*f - 515782 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i. Let w(k) be the third derivative of 0 + 0*k + 1\/6*k**3 - k**2 + 0*k**4 - 1\/120*k**5. Let l(j) be the first derivative of w(j). Give t(l(d)).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.3 - 2. Let h = c - -0.7. What is the nearest to -1 in 5, 1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 7:59 PM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44052 and 17508.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of u**6\/120 + u**5\/5 - 7*u**4\/6 - 5*u**2 - 27*u. Factor o(l).\nAnswer: l*(l - 2)*(l + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (251\/((-4518)\/540))\/((2\/10)\/(2\/(-4))).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.2, 2\/3, -11, -3\/17?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (0 - 11 - -7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122*p - 119*p = 6. Suppose 10*k = 5*k - 20. Sort p, 5, k.\nAnswer: k, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 + 5*y**2 + 3*y - 3. Is 5 a factor of n(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3983 and 840?\nAnswer: -3345720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 100 - 87.4. Round o to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b + 3*b + q, -2*q = -b + 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 14*n. Let u be s(10). Suppose -116*w = -111*w - u. What is the remainder when 47 is divided by w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 - 47*f - 87. What is c(-24)?\nAnswer: 465","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -6519*q. Let d(z) = -5190*z**2 - 2*z. Determine p(d(i)).\nAnswer: 33833610*i**2 + 13038*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e, 1 j, and 1 w when four letters picked without replacement from {e: 2, w: 7, j: 3}?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.6837424l?\nAnswer: 683.7424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 7 = n, 4*x - 30 = 2*n - 46 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*r**2 - r + r)*(31*r - 62*r - 221*r) to c*r**3 + n*r**2 + x*r + h and give c.\nAnswer: -756","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -16978 * -16\nAnswer: 271648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 45*h - 36*h - 23*h.\nAnswer: -104*h + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 + 5*a + 1. Let m be d(4). Let q(f) = -29*f + 34. Let k be q(1). Suppose -736 - 108 = -4*b - k*x, -2*b = -m*x - 392. Is b a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155*r - 3982 = 166*r. Let l = -287 - r. What is the greatest common factor of 375 and l?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -10, -2, 5 in descending order.\nAnswer: 5, -1, -2, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/8 + ((17 + -5)*-1 - 331\/(-4))?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113*m + 109 + 258 = 28. Calculate the lowest common multiple of m and 5607.\nAnswer: 5607","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 940\/19 or 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39971.\nAnswer: 39971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -20559.\nAnswer: -20559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -6146250 (b) 3 (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p - 6*p - 30*p - 31*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -5*j**3 + 60*j**2 - 4188*j + 55283. Give d(13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -4*j - 21. Let u be p(-6). Suppose -1 = -2*r + 4*r + u*q, -3*r - 4*q = 0. Solve 2*z = r*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -295*o + 16 = -279*o. Are 2\/177 and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4305)\/(-39) - 3) + 6\/3. Let k = -27200\/247 + o. Which is greater: k or -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 118, 115, 112, 109?\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1263281275?\nAnswer: 5, 47, 1075133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w**(-1\/2)*w)\/w*w\/w**(-2\/7))**(2\/3)\/((w**0)**(-1\/4)*(w**(-2\/3)\/w)**(1\/15)) assuming w is positive.\nAnswer: w**(82\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -3*z + 3 - 16, -z + 2*g = 5 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + m**2)*(9782 - 33175 - 57076 - 16919) in the form z + d*m + o*m**2 and give o.\nAnswer: -97388","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9599392?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2749 is divided by 138?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or 3147\/11?\nAnswer: 3147\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -11480447 divided by -44671\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 21910 rounded to the nearest 1000?\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 - 8*u + 6. Let y be n(18). Suppose -3*j + 558 = y. Is 12 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -1658066\nAnswer: 4974198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 3*q**3 - 10800*q**2 + 32379*q - 21582 = 0.\nAnswer: 1, 2, 3597","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 1071456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -7*l + 3*l + 34*l**2 + 4*l. Let b(y) = -4*y**2 + 8*y. Let h(g) = 2*g**2 - 6*g. Let o(q) = 3*b(q) + 4*h(q). What is n(o(d))?\nAnswer: 544*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 2. Let d(m) = -6*m**2 - 1. Let z = 196 - 192. Suppose -z*i + 15 = 71. Let a(l) = -l**2. What is i*a(c) + o*d(c)?\nAnswer: 2*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -4*w**2 - 28*w + 5. Let r be z(-9). Let p = r - -71. Calculate the highest common factor of 28 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 534 - 539. Sort d, -0.2, 1\/7, 3\/2 in descending order.\nAnswer: 3\/2, 1\/7, -0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11379.\nAnswer: 3, 3793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 6*g**2 + 449*g + 251. Determine p(-72).\nAnswer: -973","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.0788 - 0.0788. What is the biggest value in -2\/7, 0.03, w, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/13060 and 119\/20?\nAnswer: 13060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*y = -65*y - 18240. Does 32 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 - 7*r**2 + 8*r + 1. Let j be a(6). Suppose -j*p = -12*p - 12. What is the units digit of 3\/(p\/296*2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.7 + -0.3. Which is the third biggest value? (a) -2 (b) y (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 7*b + 151. Let z be v(-21). Let q(u) = -u - 8. Let a(m) = -m - 7. Calculate z*q(r) - 5*a(r).\nAnswer: r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away 4562?\nAnswer: -4567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*f - 109824 = -26528. What is the remainder when f is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67813 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/3)\/1*-2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 233776.9805 to the nearest 10.\nAnswer: 233780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1 + sqrt(17) + -1 + 2)**2.\nAnswer: 8*sqrt(17) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1511 - -143.6489. Let h = 143.80000619 - s. Round h to 7 decimal places.\nAnswer: 0.0000062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -38 + 7 - 4*v + 7 + 3 + 13. Give k(-7).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7471?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + r**2 - 4 - 6*r - 2*r**2 - 4*r**2 - 2*r**2. Suppose 24 = -2*f - 2*f. Calculate w(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-288)\/704*11)\/(27\/(-12))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -111 - -128 - (1 + 27)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d + 4 - 4)*(-40399 - 78*d - 40413 + 80835).\nAnswer: -156*d**2 + 46*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4799*o - 803 - 8795 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 - 3*l. Let n(i) = 2*i**3 - 7*i. Let b(f) = 2*f**2 + 1. Let h be b(1). Calculate h*n(r) - 7*v(r).\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-4))**(3\/17)\/(p**(-8)*(p**(-9)*p)\/p))**45 assuming p is positive.\nAnswer: p**(12465\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18.1 + 17.4. Let m = 93 - 82. Suppose 26*f + 30 = m*f. What is the third smallest value in n, 3, f?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-26)\/104)\/((-1)\/(-20))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 12 = -5*x, -7 = -4*x + 2*q - 1. Solve 4*u + x = 3*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 2*q - 3*q + 21, 0 = -a + 3*q + 1. Suppose -4*s - 5*d + 10 = s, -2*s + a = 3*d. Find the third derivative of -5 + 4 - u**s - 12*u**3 + 1 wrt u.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1065 + -615. Let a(g) = -g**2 - 8*g + 8. Let c be a(-7). Let h be (0 - -5)*c\/(o\/48). Solve -3*s = -h*s - 20 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8176 is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 2)*(3*f - 2*f + 5*f)*(-60393 + 2*f**2 + 2*f - 5*f**2 + 60407) to the form v*f + u*f**3 + p + d*f**2 and give v.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 762106*f**3 - 1811*f**2 - 25*f + 2 wrt f.\nAnswer: 4572636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29 - (2 + (-16 - -8) + 3 - -10)) + 6?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4623, -4441, -4211, -3933?\n\"Answer: 24*w**2 + 110*w - 4757","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 7:12 PM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 278437372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1.06 or 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-156)\/195)\/(12\/195)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 649362 + -284893. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37267 to the power of 1\/2, to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2888 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -1. Suppose -t = -3*t + j. What is the second derivative of 3*g**2 + t*g + 4*g - 2*g - 3*g wrt g?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213896 is divided by 494?\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 56 = 7. Suppose 4*w + 390 = s*w. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20868 (base 9) to base 5\nAnswer: 420312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 34634890?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -h**3 + 7353156*h - 36027620?\nAnswer: -3*h**2 + 7353156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-6)*-14 + -4. Suppose -i*z + 4*z = 4. Suppose z*h = 308 + 224. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22930139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 106801 and -3.\nAnswer: -320403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 2*q**2 + 2*q - 1 - q + q to the form r*q + w*q**2 + t and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 2*l**2\/9 - 352*l\/3 + 15488 = 0.\nAnswer: 264","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*u**4 - 3732*u**3 - 1097360*u**2 - 97824768*u - 96731136 = 0. Calculate u.\nAnswer: -384, -164, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 0 (b) -37 (c) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-8) - (-16 - -17))*30\/3?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide (-2*(-885)\/20)\/((-12)\/(-16))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3\/4 - 69*c**2\/2 - 135*c\/4 + 137\/2.\nAnswer: -(c - 1)*(c + 2)*(c + 137)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 26c + 3a1?\nAnswer: 60d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -340841, -681714, -1022587?\nAnswer: -1363460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5830 is divided by 216?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, p: 12, d: 1}. What is prob of sequence pi?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 240 and 124?\nAnswer: 7440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/14 and 526\/(-120) - (-6)\/(-9)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.98 - 0.02. Let y = 632.4019 + -1.3019. Let l = 631 - y. Which is the third smallest value? (a) v (b) -4 (c) -1\/2 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of f**2*i**3 + 2*f**2*i - 192*f*i**6 + 3*f*i**2 - 103 wrt i?\nAnswer: 6*f**2 - 23040*f*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 4)*(-2*a + 2*a + 2*a)*(-4*a**2 + a**2 - 2*a**2).\nAnswer: -10*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 - (23 - 3)\/(-5). Suppose 5*f = g - 0*f - k, -5*f = -5*g + 120. Is 14 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -8*w**2. Let h(v) = 15*v**2. Let k = -27 - -22. Let b(a) = k*h(a) - 9*q(a). Let r(x) = 3*x**2. Calculate r(b(t)).\nAnswer: 27*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32897 + -29515. What is the thousands digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 112, 3, 62, 2, 4 in increasing order.\nAnswer: 2, 3, 4, 62, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-65)\/(-90) - (-6)\/(-27). Let y(u) be the first derivative of 1\/2*u**2 + 0*u + 0*u**3 + 2 - z*u**4. Find the second derivative of y(j) wrt j.\nAnswer: -12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -12643, -12960, -13277, -13594?\n\"Answer: -317*i - 12326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.27, 169, -0.3?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2986, 1, 0 in decreasing order.\nAnswer: 1, 0, -2986","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 155 + -109. Let m = -2651\/5 + 532. Find the common denominator of m and (-2)\/(g\/26 - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30795, 30926, 31057, 31188?\nAnswer: 31319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rxr when three letters picked without replacement from {t: 1, x: 4, r: 2}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from {d: 7, f: 5, g: 3, k: 1, i: 3}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 742 + -730. Solve 63*p - h = 429 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 178484?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 78 = 7*s + 2*s + 2*r, 2804*r - 2800*r = s - 6 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14.7507 + -11.67856. Let r = x + -3.07. Round r to 4 decimal places.\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25*q**3*y**3 + 12*q**3*y**2 + 40*q**3 + 93*q*y**4 - 1 wrt y.\nAnswer: 150*q**3 + 2232*q*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 4*j**2 - 1\/4*j.\nAnswer: -j*(16*j + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + -13 + -5 + 43 + -25?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 942891.\nAnswer: 3, 67, 4691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*h + 82*h - 570 = 3773 for h.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 534?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 4*h**2 + 3*h. Let f(t) = t**2 + t + 1. Let m(j) = b(j) - 2*f(j). Give m(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16.2 + -1.8. Let z = 0.0561 - -18.3839. Let k = z + r. Round k to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -120210 (base 4) to base 8\nAnswer: -3044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c*l**4 - 37*c*l**3 + 284*c*l**2 + c*l + 170*l**3 wrt l?\nAnswer: 24*c*l - 222*c + 1020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 11 = 2*a, 0 = -6*a + a - 5*s + 30. Suppose -a*b + 32 = -23. Suppose b*h - 10*h = 54. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6954685 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 17*l - 115. Let t be x(7). Solve 3*c + 15 = s, -s - c - t = -3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -4*h**2 - 5*h - 5. Let g(d) be the third derivative of -4*d**2 + 0 + 0*d + 1\/3*d**3 + 1\/30*d**5 + 1\/12*d**4. Calculate 5*g(m) + 2*z(m).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*p**4 - 123*p**3 + 25*p**2.\nAnswer: 48*p - 738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.71 in -6, 4, 3, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*m**3 + 4*m**3 + 0*m**3)*(-1 + 2 - 2) - m**3 + 4*m**3 - m**3 - 5*m**3 + m**3 + 3*m**3 + (-1 - 3 + 2)*(-3*m**3 + 0*m**3 - 2*m**3).\nAnswer: 12*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -121 and -5361?\nAnswer: 648681","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*t**2 - 2)*(29 - 8*t - 29) - 2*t**3 + t**3 + 3*t**3.\nAnswer: 18*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*129.52177.\nAnswer: -64.760885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1305190 is divided by 1004.\nAnswer: 994","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4449?\nAnswer: 3, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -55 - -57. What is the fourth biggest value in r, -1\/3, -3, -2\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -5*d. Let l be q(-8). Suppose 0*a + 2*v + 124 = 5*a, -2*a + 4*v + l = 0. Is 4 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -574116 by -4.\nAnswer: 143529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 4*v = -12, 3*v - 6 = 3*f - 0*v for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i - 7. Let q(n) = n - 2. Let f(b) = -4*b - 9. Let l(o) = -2*f(o) - 2*q(o). Suppose -3*y - y - 8 = 0, 3*y + 70 = 4*w. Give w*k(t) + 5*l(t).\nAnswer: -2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3 + 78*l**2 - 2*l - 78.\nAnswer: 2*(l - 1)*(l + 1)*(l + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -58 - 4?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.095 - -4.095. Which is the smallest value? (a) 1 (b) -3 (c) o (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t. Let x(i) = 7*i - 5. Let s(f) = x(f) + 6*y(f). Let d = 12 + -7. Determine s(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5406 to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.13? (a) 2\/19 (b) -1.1 (c) 0 (d) 2\/21 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -3*r**3 - 2*r**2 + 80*r - 80. Let q(l) = -l**2 + l - 1. Let n(x) = o(x) - 5*q(x). Factor n(z).\nAnswer: -3*(z - 5)*(z - 1)*(z + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-22)\/40*(6 + -12) and 49\/11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 AM and 6:58 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/5*(-105)\/42. Let y(o) = -o**3 + 8*o**2 - 8*o + 8. List the prime factors of y(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -4*h + 11. Let j(l) = l - 3. Let s(z) = 22*j(z) + 6*r(z). Let b(a) = -2*a + 3. Let g(x) = 10*x - 14. Let m(t) = -14*b(t) - 3*g(t). Determine s(m(v)).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -9\/8, -2\/11, 0.2, -1\/4, -0.4, -0.1?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -56.21 - -54.4164. What is n rounded to 2 decimal places?\nAnswer: -1.79","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -34*g**2 + 286*g + 1065 wrt g.\nAnswer: -68*g + 286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwrr when four letters picked without replacement from {w: 2, k: 1, r: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 97 + 74. Let f = -10 - -15. Suppose -3*y + y = f*v - 38, -2*y = -2*v - 38. What is the highest common divisor of o and y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o + 7. Suppose 0*g = -2*g. What are the prime factors of x(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 751 = -178*d - 96 - 43. Let y(l) = -3*l + 14. Let k(i) = -2*i + 13. Calculate d*y(s) + 6*k(s).\nAnswer: 3*s + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1190 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2)*1 + 5 + (sqrt(2) + 0 - sqrt(2))*6)*-3*5.\nAnswer: -75 - 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -61924, -62074, -62224, -62374?\n\"Answer: -150*i - 61774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 34, -3, -49 in decreasing order.\nAnswer: 34, 1\/3, -3, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 at most 339\/35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2389, 23954, 82547, 196702, 384953?\nAnswer: 665834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56617 - 29*r**3 + 56533 - 45*r**3.\nAnswer: -74*r**3 - 84","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilometer in centimeters?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 275 and 105.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.032877 in 5, 1, 2\/3, 4\/7, 26?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*j = -73*j + 2*i + 18, 40 = -4*i for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 2 - (0 + 2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004592 to 6 dps.\nAnswer: 0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1072 (base 9) in base 15?\nAnswer: -37e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 6*d + 4 - 4. Let g(n) be the second derivative of 0*n**3 + 0*n**2 - 1\/12*n**4 + 0 - 5*n. Calculate m(g(r)).\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -530, -1, -49?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1505.\nAnswer: 5, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*g - 29*g + 44*g + 8 = 0 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 11:40 AM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (16\/10)\/(8\/80) and 222?\nAnswer: 1776","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + n = -1725, -4*n = 20*w - 24*w + 3464. Calculate the remainder when 2595 is divided by w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 5*j**2 + 3. Let p(s) = 9*s**2 - s + 5. Let z(b) = -11*m(b) + 6*p(b). Let y be z(-2). Suppose 0 = 4*o - y*o + 16. Is o a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2859312?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -402*g + 12 = -399*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17)\/(-17)*18\/(324\/6)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15827682 and 15.\nAnswer: 79138410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-60))\/(5\/(40\/10*-2))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 141161 minus 0.5?\nAnswer: 141160.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of 0*t + 1\/6*t**3 + 0*t**5 + 0*t**4 - t**2 + 1\/120*t**6 + 0. What is the derivative of a(j) wrt j?\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6207 - 6117. Solve -x*a = -83*a - 14 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -3*n - 5*d - 2, -4*n = -4*d - 4. Let q(i) = 9*i**3 - 1 - 1 + 1 - i**3. Let x be q(n). Which is the biggest value? (a) -2\/7 (b) x (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of -24 + 30 + -2 + 208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/110)\/(2952\/(-2460))?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/9*(-5)\/((-30)\/18)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1516 is divided by 39?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y = 10*y + 4*l + 20, 4*y = 3*l - 7 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5530)\/11060*((-16)\/(-78))\/2?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 131 = -4*d + 5*d, 2*d - 5*u = 274. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - 336?\nAnswer: -336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2210112334 (base 5) to base 10\nAnswer: 4769719","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*13.7239711.\nAnswer: -2.74479422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 516 and 344?\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*h - 39*h + 5*z = -50, -25 = 3*h + 2*z for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 4 + 3)*(j + 4*j - 6*j) + 2*j + 1 - 1 + (3 + 1 - 2)*(-2*j + 5*j - 2*j))*(j**4 - j**4 - j**4).\nAnswer: -6*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62 - 134*y - 17*y**2 - 62.\nAnswer: -17*y**2 - 134*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*y**4 + 22*y**4 - 19*y - 10*y wrt y?\nAnswer: 348*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 2*n + 4 = -4*b, -2*b = 0. Let v be ((-7)\/(42\/(-4)))\/(n\/591). Let l = v - -346. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116 = 2*m - 220. Let y be 1 + 1 - m\/28. Let w(z) = -z**2 - 3*z + 5. Determine w(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zh when two letters picked without replacement from zzhzzzzzzzzz.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-720)\/128*2\/3)\/(3\/16)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x**2 - 5*x**2 + 4*x**2 + 5*x**2 + 0*x**2 - 3*x**2 + (-5*x + 4*x - x)*(-3*x + 3*x + x) - 4*x**2 + 2*x**2 + x**2)*(2 + 0 + 1).\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 9.346.\nAnswer: 2.8038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 f when two letters picked without replacement from fffk.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(52)*-3 + 5*(-2 + sqrt(13)*2))**2.\nAnswer: -72*sqrt(13) + 289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001586454054 to 6 decimal places.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sos when three letters picked without replacement from soss?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 AM and 6:01 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 3*w = -36, -5*i - 2*w + 36 = -w. Let y be (-2)\/i - (-2)\/8. Suppose y = -0*k + 4*k - 12. Solve -12 = r + k*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -75467*i**3*m**2 - 2*i*m**3 - m**3 + 2*m + 8131 wrt i.\nAnswer: -226401*i**2*m**2 - 2*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 110504568 to the nearest integer?\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 635\/508*4\/(-30)*-1\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + -3. Let c be s\/2*(-8)\/12. Suppose -k + j - 1 + 6 = 0, 4*j + c = k. Solve 5*g = k*g - 5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of 1\/12*w**4 + 0 - 1\/6*w**3 + 0*w + 36*w**2. Determine r(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - (-4 + 2\/1). Suppose -2*o - 2*o - 84 = 0. Let z be (-2)\/(-6) + (-203)\/o. Solve 0 = -5*r + 2*m + 6, s = -4*r - 4*m - z for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(1\/6)*y*y*y*(y\/y**7)\/y*y\/((y*y**(-7)\/y)\/y*y)*((y**(-5)\/y)\/y*y)\/y)\/((y**(5\/7)\/y)\/y**(6\/11))**(-3\/13) assuming y is positive.\nAnswer: y**(-14165\/6006)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7472987 is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**25)\/(z**21\/z) assuming z is positive.\nAnswer: z**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 + 803*h + 149187. What is k(-292)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2279 is divided by 255.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2*v + 60 = 5*j, -4*j + 5*v = -49. Let h = j + -15. Let s be (-3)\/h*16\/6. Solve 0 = -s*f - 11 + 5 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/82 + 167\/246. What is the closest to 0.4 in 6, -2\/3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 8.5 and 58001314890.\nAnswer: 58001314898.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(3) - (sqrt(12) - sqrt(192))) + 0.\nAnswer: 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 2. Let d = 1.7 - 0.7. What is the closest to c in 0.2, d, -3\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 287369 and 402773?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*w + 2*p, -4*p + 5 = 3*w - 6. Let b be (22 - 13)\/(0 + w). Suppose -b*a = -12*a + 234. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 102642432 + -249626382157\/2432. Let f = -3\/2432 + s. What is the common denominator of f and -113\/20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 3*u + 3*q - 7*q, 2*q = -5*u - 42. Let j be (-3)\/(-6)*u\/2. Let o = 3 + j. What is the greatest common divisor of 11 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -16*m + 40. Calculate the lowest common multiple of 20 and q(-5).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2561\/(-2) - 3\/6. Let k = s + 5151\/4. Suppose -96 - 64 = 5*a. What is the common denominator of a and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4*(-3 - (-3 + 3\/(-2))). Let q(c) = -z + 10 + 0 + 7*c - 4*c + c**2. Is q(-4) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*c**3 + 16198*c**2 - 4581290*c wrt c.\nAnswer: 78*c + 32396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52, 254, 584, 1036, 1604?\nAnswer: 2282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -2 + 154\/147*7\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -3129*h - 2. Let w(v) = 3*v**2. What is a(w(d))?\nAnswer: -9387*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 7) + (-4 + 1 - -7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3702?\nAnswer: 2, 3, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6124 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 + 440*z + 29922. Determine j(-84).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 63 - -10. Let a = z - 74. Let v(h) = -9*h. Determine v(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence beb when three letters picked without replacement from {b: 2, y: 3, z: 12, e: 3}.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*o + 18*o - 20 = 0. Suppose 2*i + o*u - 12 = 0, 4*i + 26 = u + u. Let g be -2 + 0 - (-4 + i\/4). Solve -5*q - 4*s - 9 = 0, 6*q + 1 = 2*q + g*s for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1102190880 a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37631?\nAnswer: 11, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2127*u**3 - 251*u**2 + 8*u + 4. Let j(l) = 4259*l**3 + 498*l**2 - 15*l - 7. Let r(o) = 7*d(o) + 4*j(o). Find the third derivative of r(v) wrt v.\nAnswer: 12882","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - 2. Let a = -3 - j. Let u(b) = 3*b - b**2 - 6 - b**2 + a*b**2. Calculate u(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 182508 divided by 2724?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2179, -8387, -18723, -33187, -51779?\n\"Answer: -2064*t**2 - 16*t - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of w**6\/2 - 57*w**5\/5 + 237*w**4\/4 + 207*w**3 - 1620*w**2 - 3564*w + 1101. Suppose a(i) = 0. What is i?\nAnswer: -3, -1, 6, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -177c58 + -15?\nAnswer: -177c6d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/55, -435, -104\/5 in descending order.\nAnswer: 2\/55, -104\/5, -435","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 35.93 to the nearest integer.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9239, 10, 5, 6, -1, 2, 4 in decreasing order.\nAnswer: 10, 6, 5, 4, 2, -1, -9239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2636669160.\nAnswer: 2, 3, 5, 7324081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (24\/(-20))\/((-6)\/20). Let k(r) be the first derivative of 1\/2*r**s - 2 + 0*r + 4\/3*r**3 + r**2. Factor k(u).\nAnswer: 2*u*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1648*q**2 + 2984*q**6 - 1051*q**6 - 4*q**5 + 671*q**2 + 6*q**5 wrt q?\nAnswer: 231960*q**3 + 120*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 34 = -4*f, 11*q - 64 + 36 = -2*f + 146 - 27 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19713266, -19713265, -19713264, -19713263?\nAnswer: -19713262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55344, 152844, 292498, 474300, 698244, 964324, 1272534, 1622868?\nAnswer: 2015320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24482 - 1473. Is 19 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-51)\/1377)\/((-7)\/6*(-8)\/28).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gccgccccccgcccgccccc. Give prob of picking 1 c and 1 g.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 111*x + 488 - 44 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 50 = 2. Let f = -13 + b. What is the second derivative of 3*y - y**5 - 2*y + 3*y**5 + f*y**5 wrt y?\nAnswer: 100*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/3353 and -59\/245.\nAnswer: 117355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -48*c**3 + 2*c**2 - 5*c + 5. Let k(l) = -24*l**3 + l**2 - 3*l + 3. Let d(n) = -3*a(n) + 5*k(n). Let b be d(1). Let v = -25 + b. Is v equal to -3\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11063 divided by -37.\nAnswer: -299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h - 3. Let v be y(-6). Suppose m - 112 = -v*m + z, -4*m + 2*z + 112 = 0. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u**4 + 7*u**4 + 2*u**4 + 3 - 2*u**3 - u**4 in the form i + w*u**3 + c*u**2 + z*u**4 + j*u and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -6. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2785666075 a multiple of 231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3600 and 12436542?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, o: 10, b: 4}. Give prob of sequence ob.\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 343*w**2 - 392*w**2 - 1819*w**2.\nAnswer: -1868*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 6 = -2*d, 2*f = 3*d - 118 + 107 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9643501.\nAnswer: 7, 1377643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 2*w + 4*t - 455, 4*t - 884 = -4*w. Suppose 2*s - 60 = -s. What is the highest common divisor of s and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of -r**6\/12 + r**5 - 3*r**4 - 5*r**3\/3 + 25*r**2\/4 - 437. Let c(g) = 0. What is g?\nAnswer: -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 2*k + 13, -2*b - 3*b - 47 = -3*k. Let f be ((-3)\/(-4))\/(7\/(-392)*b). Let z(w) = w**2 - 1 - 5 - 6*w + w. What is z(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l + 2*l - l**4 + ((7 - 7 - 7*l)*(4 - 15 + 9) - 2*l + 0*l + 3*l + 2*l - 4*l + 3*l + (0 + 0 - 2*l)*(0 + 3 - 1))*(l**2 - l**2 + 9*l**3).\nAnswer: 107*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of -27*o**3 + 82*o. Let t(f) = 2*f. Determine d(t(l)).\nAnswer: -324*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of -n**4\/12 + 39*n + 2. Let a(i) = 5*i - 1. Let m be a(1). Let y(c) = -6*c - m*c + 4*c - c. Calculate l(y(x)).\nAnswer: -49*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 5. Let n = 3 + q. Suppose 0 = -n*a - z + 938, a = 6*a - 5*z - 1185. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 573 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -3*l**3 - 3*l**2 - 6*l - 2. Let o be b(-2). Let s be (0 - 0)\/(14 - 8). Solve s = -h - o + 26 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03003687 rounded to 3 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 50 (b) -9 (c) 225\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/309 and -74\/69.\nAnswer: 7107","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 56777, 113566, 170357, 227156, 283969, 340802, 397661, 454552?\n\"Answer: w**3 - 5*w**2 + 56797*w - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29364?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*b + 5*b - 175 + 175 + 9*b.\nAnswer: 51*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (490*r + 560*r - 458*r)*(3*r - 3*r - r)*(-3 + 3 - r**2).\nAnswer: 592*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + (-6 - -19) - (83 + -33)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12 + -155434?\nAnswer: -155450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 8*m**2 - 5. Is z(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 6. Let l = 25 - 28. Which is the biggest value? (a) 2\/15 (b) v (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -55 (b) -4 (c) -3\/1756 (d) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 - 13*h + 26. Let b be i(-15). Sort 4, b, 10, -1 in descending order.\nAnswer: 10, 4, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 4 = 9*a + 2*w, -a + 14 = -4*w. Let l be (-2)\/(-3)*15\/a. Suppose -32 = -3*v - l. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c + 7582 = 4*v + 8*c, 4*v = -3*c + 7577. Suppose 0 = -14*j - v + 10897. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 9406.93 centimeters?\nAnswer: 94.0693","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0708 take away 1?\nAnswer: -0.9292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3\/5, -77, 2\/13, 0.5, 5?\nAnswer: -77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 673.\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 0, -5\/177 in descending order.\nAnswer: 0, -5\/177, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from jww.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84148146?\nAnswer: 2, 3, 519433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9282066 = -5*i + 2*z + z, 5*i + 5*z = -9282090. Let g be (8\/84)\/((-20)\/i). Let o = g + -8844. Find the common denominator of o and 99\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**3 + 0*t**3 + 3*t**3 - 545*t**3 + 250*t**3 + 200*t**3 + (-2*t**2 + t**2 - t**2)*(-t + 2*t + t).\nAnswer: -94*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/15 at least as big as -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - v = 0. Let n be v + 3 + 2\/2. Solve n*m - m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((12 - 6) + (5 - 3) - (4 - -5)) + 48\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 176*y**4 + 179816*y**3 - 792*y + 16231 wrt y?\nAnswer: 2112*y**2 + 1078896*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 5*x - 25 = 0, -3158*x = b - 3157*x + 5 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -13*q**3 - 8*q**2 + 8*q - 12. What is f(3)?\nAnswer: -411","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h**2*k**3*z + h**2*k*z**2 - 3134*h*k*z**3 + 107698*k**3*z**3 - 16*k**2*z**3 wrt k?\nAnswer: 12*h**2*z + 646188*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k + 2461 - 2*k**2 + k**2 - 2461.\nAnswer: -k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 79072.38 weeks in days?\nAnswer: 553506.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1028466, 1028439, 1028412, 1028385, 1028358?\nAnswer: 1028331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*o - 19*o + 4*o + 3*o - 15.\nAnswer: o - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 314055458.\nAnswer: 2, 157027729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*n - 328877 = -328977 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -153 - -90. Let t = -60477\/10 - -6055. What is the common denominator of t and (-2)\/(-9) - (-1253)\/h?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 6 (b) -2.661 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 AM and 4:32 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7326.\nAnswer: 2, 3, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/7947 and -83\/8397330.\nAnswer: 25191990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 AM and 2:19 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/21? (a) -2 (b) 0 (c) -488 (d) 2224\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, 234, 0, -4 in decreasing order.\nAnswer: 234, 5, 4, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19*k**4 - 2*k**3 - 37*k**2 - 1062*k wrt k.\nAnswer: 228*k**2 - 12*k - 74","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 6*q. Let z(v) = v**3 - 4*v**2 + 5*v - 14. Let f be z(4). Sort -3, q, -5, f.\nAnswer: -5, -3, q, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(54)\/sqrt(2) - (sqrt(12) + 3 + 1))**2.\nAnswer: 64*sqrt(3) + 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 213 + 424 = -91*k for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -188 >= -188?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4649, 18606, 41865, 74426, 116289?\nAnswer: 167454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 5 = 4*v - 5, -5 = -p. Solve 4 = 4*b - v*t, 3*t = 2*b + t for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(3*((5*(sqrt(112) + sqrt(112) + 0 + sqrt(112)) - (sqrt(112) + 1 + 1)) + 1 + 1 + sqrt(112) + -4 + -4))**2.\nAnswer: -682128 + 25920*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 52, 260, 864, 2074, 4100, 7152, 11440, 17174?\n\"Answer: 35*w**3 - 12*w**2 - w + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of -x**9\/504 - 89*x**6\/120 - x**5\/20 + x**4\/8 + 454*x**2. Find the third derivative of v(a) wrt a.\nAnswer: -120*a**3 - 534","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -15*p - 8. Let i(u) = 55*u + 25. Let b(t) = 2*i(t) + 7*y(t). Let g = 2 - 6. Let a(m) = 9*m - 11. What is g*a(h) + 7*b(h)?\nAnswer: -h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102654898.\nAnswer: 2, 41, 83, 15083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 w when four letters picked without replacement from {m: 2, w: 5, e: 5, r: 5, u: 3}.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16.01 + 0.01. Let c = -16.5 - m. Let a = 0.0401 - 0.0401. Put c, a, 0.38 in descending order.\nAnswer: 0.38, a, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 24877299 and -32.6.\nAnswer: 24877266.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j - 749 = 7*j - 2*h, -4*j - 3*h + 602 = 0. Let g = 1036 + j. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 2*s = 25. Suppose -2*u - u = 3*m + 6, 2 = -s*u - 3*m. Solve -5*d + 3 - u = -x, 0 = 2*d for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2898*h**4*j + 2549*h**4 + 3*h**3*j - 2*h**2*j + 2*h**2 + 6*h*j - 191942 wrt h?\nAnswer: 69552*h*j + 61176*h + 18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**4 + 2*d - 4*d**4 + 3*d + (-d**2 + 0*d**2 - 4*d**2)*(-d + 4*d**2 + d).\nAnswer: -23*d**4 + 5*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that m**4\/3 + 7*m**3\/3 + 5*m**2 + 3*m = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 2. What is the tens digit of 2*40 - (-8)\/p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 4*v + 3*g, 5*v + 102*g - 103*g = 17 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 10:11 PM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 - 14*n - 14. What is the units digit of w(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8520 and 414549120?\nAnswer: 414549120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2248156 a multiple of 322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of 1\/12*h**4 + 0*h**3 + 0*h**2 + 29*h + 0. Let k(d) = d**2. What is k(o(q))?\nAnswer: q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -j - z - 10, 3*j - 14 = 2*z. What is the third derivative of -3*g**2 - j*g**5 + 2*g**2 + 6*g**2 + 3*g**5 wrt g?\nAnswer: 60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11 and 179756577.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (88*t**2 + 169*t**2 - 76*t**2)*(31*t**2 - 7*t**3 - 31*t**2).\nAnswer: -1267*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 27*d**2. Let y be a(1). Let z = 101 + -112. Let j = y - z. Is 19 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 19355.06697 to the nearest 1000.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w. Let j(l) = l. Suppose 319*b = 287*b + 128. Suppose 3*q + 1 = -2. Let k = -11 - q. Calculate b*m(t) + k*j(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6585 (base 9) to base 6.\nAnswer: 34252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11010100 (base 2) to base 15.\nAnswer: e2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1.2, -0.9, 2\/5, 1\/4.\nAnswer: -2, -1.2, -0.9, 1\/4, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*x - 4481 = 1219. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 20835?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34991194?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -7*s**2 - 6*s - 7. Let p(m) = 12*m**2 + 13*m + 13. Suppose 316*o + 12 = 320*o. Let r(l) = o*p(l) + 5*n(l). What is r(-8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-370)\/50 - -7)*-10. What is the second biggest value in 1, -1\/7, f, 34?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(180))*4)**2 - ((sqrt(605) - (3*(sqrt(605) - 2*sqrt(605)) + sqrt(605))) + sqrt(605)).\nAnswer: 148*sqrt(5) + 2896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22 is divided by (2 + -4)*(3 - 5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -5*r**2 - 1621*r + 3242. Give q(2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*f = 31*f + 120. What is the hundreds digit of -4 - (f\/(-9))\/((-8)\/588)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + -93?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s**(-1\/17)*s*s*s))\/s)**(2\/65)\/(s**(-21)*s\/(s\/(s\/((s*s*s**(-24)\/s)\/s)))))**(8\/3) assuming s is positive.\nAnswer: s**(-7232\/663)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**3 - 187*v**2 - 195*v**2 + 1051*v**2 - 269*v**2 - 213*v**2 - 187*v**2.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 231701 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.56, -5, 0.4, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 2 - 2)*(-329*m - 10836 + 10834 - 100*m).\nAnswer: 858*m**2 + 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 v when two letters picked without replacement from {l: 1, v: 1, t: 2, z: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-35))\/p**5)**(-27) assuming p is positive.\nAnswer: p**1053","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-5))\/((2\/78)\/((-11)\/(-33))).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8266 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 4 = -0. Let u(d) = d**3 - 3*d**2 + 3*d + 1. Let b be u(0). Let a be (-196)\/(-28) - (h - 1)\/b. Solve 4*o - 24 = -a*i, 12 = 2*i + 3*o - 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q**3 + 4*q**2 + 11*q - 2. Let j(m) = -m**3 + 5*m**2 + 10*m - 3. Let w(a) = -3*j(a) + 2*z(a). Give w(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -33966 and -33966 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/3, -1\/2, 3, -4, -0.7, -4\/7 in descending order.\nAnswer: 3, 5\/3, -1\/2, -4\/7, -0.7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 + 5*h**2 + 3*h + 14. Calculate u(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*o = 5*i - 92*o - 49666, -4*i = o - 39730. What are the prime factors of i?\nAnswer: 2, 13, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1585)\/27896*30\/25.\nAnswer: -3\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(2\/3)*b*b)\/(b\/b**(-1\/11)) assuming b is positive.\nAnswer: b**(85\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 19670 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 0*d + 3. Let p(k) = -4*k**3 + 3*k + 2. Let u(y) = 3*y**3 - y**2 - 2*y - 2. Give d*u(i) + 2*p(i).\nAnswer: i**3 - 3*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2303027583?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 224.4 + -295.52. Let h = -70.38 + -0.62. Let l = h - p. Which is bigger: 0.01 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 1022?\nAnswer: 1021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of 7*w**5\/20 + w**4\/2 + 7*w**3\/6 + 3*w**2 - 10*w. Let f(b) = -6*b**3 - 5*b**2 - 6*b - 5. What is 6*f(h) + 5*j(h)?\nAnswer: -h**3 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4421625 nanometers to centimeters.\nAnswer: 0.00000004421625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/58 and 3\/5?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum 23247 and -20154875.\nAnswer: -20131628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.04 - 6. Let q = -0.04 + h. Which is the third biggest value? (a) 3 (b) q (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2234*f - 844427. What is o(378)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 15*x**2. Let v(o) = -158547*o + 4. Give v(p(m)).\nAnswer: -2378205*m**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -18*v + 130. Let w be q(15). What is the common denominator of 1\/46 and 24\/w*(-63)\/(-8)*6?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 656412745 divided by -17740885.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -2*l + 3*l - 44, 5*q - 20 = 5*l for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 887, 889, 891, 893, 895, 897?\n\"Answer: 2*s + 885","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 911 + -926 - 19831\/(-1323)?\nAnswer: -2\/189","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((13*t - 83*t - 27*t)*(-t + 0*t + 0*t) + (4*t - 5*t - 2*t)*(2*t - 2*t + 2*t))*(-5*t - 2 + 4*t + 3) as p*t + r*t**3 + d + g*t**2 and give r.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-51888)\/(-2162) - (6162\/246 + -1)\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 1:19 AM?\nAnswer: 5:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 146676 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73 divided by -1.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -d + 4 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -54 - -64. Suppose 1 + 3 = q + 3*f, 0 = -f. Suppose 3*v + 4*a - 55 = 0, q*a = 3*v + 21 - 68. What is the remainder when v is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-15)\/(-4)*((-96)\/(-30) + -3). Which is the smallest value? (a) 1 (b) 95 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12214650 divided by 6?\nAnswer: -2035775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -11*g - 1273. Calculate w(-35).\nAnswer: -888","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*l**3 - 3*l**3 - l**3)*(24*l + 5*l + 35*l) + 18*l**4 - 49*l**4 - 12*l**4 in the form r*l + s + y*l**4 + h*l**2 + k*l**3 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 11:14 AM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 19294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -m. Suppose m = -5*i + 5, -143 = -3*l - 2*l + 2*i. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by 28\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 13, -79, -241, -479, -799?\n\"Answer: -m**3 - 29*m**2 + 2*m + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 275 - 895. Let h = d + -82. Suppose 209 = 4*o + 109. Calculate the remainder when h is divided by o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0129 times 141.06\nAnswer: -1.819674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*m**6*p - 2*m**4*p + m**3 + 987*m**2*p wrt m.\nAnswer: 840*m**3*p - 48*m*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60303, 120606, 180909, 241212?\nAnswer: 301515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*c*o - 49*c*r**3 - 2*c*r**2 + o*r**3 - 7*o wrt r.\nAnswer: -294*c + 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*v + 0*v - v + (3*v - 3*v + 2*v)*(-2 - 1 + 5) + 2*v - 4*v + 4*v as p + j*v and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13887\/28 or 496?\nAnswer: 496","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - 2*m**3 + m - m**3 - 3 + 3 + m**3 - 2*m**3 - m**3 + (-m + 2*m - 3*m)*(-3*m**2 + 5*m**2 + 0*m**2) - 3*m**3 + 0*m**3 - 3*m**3)*(51 - 100 + 12*m + 48).\nAnswer: -180*m**4 + 15*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**3\/9 + 298*s**2\/9 + 4516*s\/9 + 2608\/3 = 0.\nAnswer: -12, -2, 163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (12952 - 0\/(-2)) + (-136 - -136)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2086)\/252 + 8)\/((-8010)\/(-712))?\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k - 25. Let p(u) = -3*u**2 - 235*u - 75. What is -3*l(g) + p(g)?\nAnswer: -3*g**2 - 232*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -5465 (base 7) to base 10\nAnswer: -1958","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - i - 3)*(0 - 1 + 3) + (4 - 2 - 4)*(0 - 2*i + 0) + 33*i + 3*i - 10*i + (-2*i + 2 - 2)*(2 + 0 - 1).\nAnswer: 26*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 1656*t - 6170. Determine h(5).\nAnswer: 2110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (110\/20)\/(176\/3008). Which is greater: 145 or k?\nAnswer: 145","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 152, -18066, 1 in decreasing order.\nAnswer: 152, 1, -18066","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 562451769 to the nearest integer?\nAnswer: 825","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -437 (base 14) to base 5\nAnswer: -11313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23*m*v**3*x**2 + m*v*x**2 - 3*m*v - m + v**2*x**2 - x wrt v?\nAnswer: -138*m*v*x**2 + 2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 595.78 + -595.7. What is the second biggest value in 6, t, 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/9695 and -113\/58790480.\nAnswer: 58790480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = 5*d + g - 7, -5*g = 10. Let b = 19 + d. Is b < 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 59840 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1834 a factor of 295010585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/5)\/(2\/(-5)). Let k(w) be the first derivative of -4*w - 3\/2*w**p + 1\/4*w**4 + 3 - 4\/3*w**3. Determine k(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-7)*l)**(-4\/11)\/(l**(1\/5)*l\/l**(-19)) assuming l is positive.\nAnswer: l**(-991\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 3*d = 1659, -3*d = 45 - 30. Is 18 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -21*g - 102. Let c(n) = n**3 + 9*n**2 + 16*n - 11. Let t be c(g). Let i be (-1)\/(-4) + 1150\/8. Calculate the highest common factor of t and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1268 divided by 69?\nAnswer: -1268\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {g: 2, h: 2, q: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 - 3*p. Let m be j(-3). Suppose -3*h + h + 6 = m. Suppose 2*k + k = 6, q + 5*k - 13 = 0. Solve q*w + h = -6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5944 + 5944 + 675*v - 667*v.\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 312589.24 rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -5*d**2 + 6. Let x(r) = -20*r**2 - 15*r + 17 + 6*r**2 + 16*r. Let z(i) = -11*b(i) + 4*x(i). Give z(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/14556 and -143\/7278.\nAnswer: 14556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 46.99742l?\nAnswer: 46997.42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8355?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4137108 (base 9) to base 3\nAnswer: 11011021010022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/48964438 and -51\/30010462.\nAnswer: 930324322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1214489 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*n = 75*n + 13 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6\/24*(129\/6 - -2) and -28?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -9*n**3 + 3*n**2 + 3*n - 15. Let h(f) = f**2 - 5. Let j(w) = 3*h(w) - p(w). Let b(l) = -27*l**3 + 8*l. Determine -3*b(c) - 8*j(c).\nAnswer: 9*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10000111101 (base 2) to base 13.\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3598 - -10)*9\/(-12)?\nAnswer: 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - 10*p**2 - 10*p - 8. Let x(g) = g**2 - 7*g + 3. Let a be x(3). Let d be j(a). Let m(c) = 13*c**3 - 2*c**2 + 1. Does 9 divide m(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of -x**5\/180 + 7*x**4\/24 - 19*x**3\/9 - 161*x**2. Factor h(a).\nAnswer: -(a - 19)*(a - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 25043 - -511?\nAnswer: 25554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1368 = 3*a - 984. Suppose 0*f - a = -7*f. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15073 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -105*p**3 + 2*p**2 - 1. Let l be a(1). Suppose 9*c = -12*c - 2163. Is l equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 327?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -176*v + 405 + 346*v - 198 - 173*v - 207.\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 270 + 5*d**2 - 270 as l*d**2 + a + o*d and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*r - 5*s - 5, 5*r - s - 5 = 0. Let v be (r\/(-40)*-5)\/((-4)\/(-8)). Which is the nearest to 3? (a) 3 (b) v (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 r when two letters picked without replacement from dmrmrj?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3176118 divided by -32082?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -49926058 + 114601407. Suppose w + 27324651 = -10*y. What is y rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 330818.\nAnswer: 2, 251, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y + 976 - 1056 = 0. Let n(f) be the third derivative of f**4\/8 - 25*f**3\/6 - f**2. What is the units digit of n(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j + 2*j - r - 8, -4*r = 3*j + 10. What is the tens digit of j\/(-3) - 136\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/22, 40, 0.3, 3 in descending order.\nAnswer: 40, 3, 0.3, -3\/22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 243164261797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.74676 litres in millilitres?\nAnswer: 12746.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of -19*l**6\/30 + 5*l**4\/3 - 21*l + 33. Let w(r) be the first derivative of y(r). Find the third derivative of w(v) wrt v.\nAnswer: -456*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113231?\nAnswer: 199, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39451*a + 39414*a - 78862*a + 9601 to the form g*a + o and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 7239*s. Let r(v) = 49*v**2 + 2. What is a(r(k))?\nAnswer: 354711*k**2 + 14478","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 29123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 438*l - 3914. Let j be v(9). What is the highest common factor of 11116 and j?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of 0 - 37\/6*l**3 + 14*l + 0*l**2 - 73\/20*l**5 + 1\/6*l**4. Find the third derivative of i(w) wrt w.\nAnswer: -438","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0)**(-29) assuming j is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5217)\/(-658) - (9 + -4 + 3)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7*r**2 - 2\/7*r + 12\/7.\nAnswer: -2*(r - 2)*(r + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-7)\/r)\/(((r*r**(4\/5))\/r)\/r*r))\/(r**(-5)*r\/((r\/(r**(-2\/3)*r))\/r)) assuming r is positive.\nAnswer: r**(-77\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -7 + 25. Let x(j) = -123 + 52 + 2*j**3 + 4*j + 62 - 10*j**2. Let b(m) = -4*m**3 + 19*m**2 - 8*m + 17. Let k(d) = w*b(d) - 11*x(d). What is k(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/126 and -131\/245910.\nAnswer: 737730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/569 or 1?\nAnswer: 4\/569","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/36 + (-26)\/(-36)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 10888, 21777, 32666, 43555, 54444, 65333?\n\"Answer: 10889*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22030 - 3042001?\nAnswer: -3114031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -952, -3762, -8410, -14878, -23148, -33202, -45022, -58590?\n\"Answer: 3*y**3 - 937*y**2 - 20*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/20*-2*(-8)\/(-14). Sort -2, -66, i, -0.3 in increasing order.\nAnswer: -66, -2, -0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6496 + -6486. Solve 2*b - m = 5*g + 5, g - b = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 4*y + 6, -s - 17 + 12 = 3*y. Which is the closest to 0.3? (a) 3\/5 (b) 2\/3 (c) 2\/7 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000478524211 rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 155595*j**4 + 118*j**3 - 67990516*j**2?\nAnswer: 3734280*j + 708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 - 20*s**2 + 39*s + 13. Let r be c(-30). Let q = r + -4946. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3747\/96131 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -132347200 or -132347202?\nAnswer: -132347200","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of l**6\/3 - 17*l**3\/3 - 14. What is the third derivative of m(y) wrt y?\nAnswer: 120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + -361?\nAnswer: -361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 14) to base 8\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 93165*s**3 - 12*s + 640?\nAnswer: 558990*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3*g**2 - 13*g - 13. Let b be q(-1). Find the third derivative of -k**2 - 20*k**b + 19*k**3 - 3*k**3 + 8 - k**4 + 4*k**2 wrt k.\nAnswer: -24*k - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + 1 + (11 - -1). Let u(r) = -2*r + 20. Let b be u(10). Let f be (b\/2)\/(-1 - 2). Solve f = 4*y + g + 10, -y + g = 5*g + x for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -93.36 - -89. Let n = 4.083 + q. Let d = 0.15 + n. Round d to two dps.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10769434309 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 712219 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7592\/(-16086) + (3 - 2). Let x = y + 15\/766. Let o = x - 5\/6. Is o less than or equal to -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 35998 and -2?\nAnswer: -71996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8619901.\nAnswer: 17, 19, 26687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.2 (b) -5 (c) 1643 (d) 87 (e) 2\/3 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003659 to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -219a0a - -14?\nAnswer: -2199c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 941*r**3 + 0*r**2 - 5 + 2*r**4 - r**2 - 889*r**3 + 0 in the form j*r**4 + h*r**2 + l*r**3 + x*r + n and give l.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of 0*l**5 + 0*l**4 - 16 + 11\/2*l**2 + 0*l + 3*l**6 + 0*l**3. Find the second derivative of x(g) wrt g.\nAnswer: 360*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q**2 + 26*q + 85. Let k be n(-6). Let w be k + 0 + ((-16)\/3)\/(-2). Determine s so that 40\/9*s + s**3 - 16\/9 - w*s**2 = 0.\nAnswer: 1, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/3)\/z*z)**(-7)*(z\/(z\/(z**(-2\/5)*z)*z))**(-3\/4))**(-9\/4) assuming z is positive.\nAnswer: z**(393\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -832*u**2. Let i(b) = 682*b**2 - 2*b. What is i(l(o))?\nAnswer: 472096768*o**4 + 1664*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (5 - 10)) + -1 + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1016651 - -5?\nAnswer: 1016656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147)\/(sqrt(28)\/sqrt(4)))\/(sqrt(112) + sqrt(112)*2 + sqrt(112) + sqrt(112)) + (sqrt(726) - sqrt(726)*-1 - sqrt(726) - sqrt(726))\/(sqrt(98)*2).\nAnswer: sqrt(3)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/277 less than 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + s**2 - s + 2. Let y be x(0). Put 5, y, -4 in ascending order.\nAnswer: -4, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of d**4\/18 + 32*d**3\/27 - 4*d**2 - 3429. Factor o(g).\nAnswer: 2*g*(g - 2)*(g + 18)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x - 36*x = 350. Which is smaller: x or -8?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/1*(1 + -1). Let b(c) = c**2 + 7*c - 2. Let k be b(-7). Let r be (2 + 0\/k)*-1. Which is smaller: p or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - -262803*(-2)\/14. Let i = m - -37711. Let x = i + -167. Which is the nearest to x? (a) -3 (b) 4 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-18)\/45 + (-28)\/5. Let k = d + 6. What are the prime factors of 3 + 29 + k + 3?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8 - 13d?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 1 = p. Let g = -20 - -25. Suppose a + g*l - 21 = 0, -2*l + 11 - 1 = 2*a. What is the greatest common divisor of a and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74.18937 millennia to centuries.\nAnswer: 741.8937","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 32\/5 (b) 24 (c) -2 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 c when two letters picked without replacement from rrrrrdrrcurr.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g**5 + 2948*g**4 - 255928*g**3 + 715064*g**2 + 2209724*g + 1235780 = 0.\nAnswer: -1, 5, 97, 637","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 817819\/(-1491317)*1\/(34\/(-2))?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + 0 - 36 - -13.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3856667*j*v + 5530055*v wrt j?\nAnswer: 3856667*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 325, 640, 955, 1270, 1585?\n\"Answer: 315*j + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -85775, -164681, -243587, -322493, -401399, -480305?\n\"Answer: -78906*x - 6869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -3462*g - 9. Is r(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k. Let d(o) be the second derivative of -o + 0 + 0*o**3 + 1\/6*o**4 + 0*o**2. Determine b(d(g)).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 3*x = 3*n - 18, -4*x + 66 = 5*n. Suppose -2*p + 34 = u + 4, 5*p = -3*u + 77. Let r = p + 1. Calculate the lowest common multiple of n and r.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + -318a8837?\nAnswer: -318a8839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2830176806?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 3:45 PM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -1012?\nAnswer: 1016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1064 (base 9) in base 11?\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 48 - 145\/3. Let n = m - -5\/6. What is the closest to n in -0.5, -0.3, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7090043 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*b - 5*v = 20*b + 30, -b + v = -2 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24 - 19. Suppose o = 2*k + 9, -3*o - 3*k - j = -k. Does 4 divide (1 - o) + 64\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13261 is divided by 12408?\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d + 13. Let g be u(5). Find the second derivative of 4*s - s + g*s - 5*s**3 - s**3 wrt s.\nAnswer: -36*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1141\/458 + -2\/229. What is the third smallest value in 0.04, c, -2\/7?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 264 divide 1027137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (((sqrt(833) - -2*sqrt(833)) + 3)*5 - (sqrt(833)*-2 + -5 - -2*(0 + sqrt(833))))**2.\nAnswer: 4200*sqrt(17) + 187821","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 - 9*s + 8. Let q be 34\/4 + (-8)\/16. Let i be b(q). Is i greater than -14\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + -4*(sqrt(171) + (sqrt(171) - sqrt(171)*-5) + sqrt(171)))\/(1*sqrt(63)\/sqrt(7)).\nAnswer: -31*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 + 7. Let t = -51 - -54. Which is the third smallest value? (a) -2 (b) f (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 67 - 94. Let m be ((-3)\/(-15))\/(-4*8\/64). Is m greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of -t**7\/210 - t**4\/12 + 3*t**2. What is the second derivative of s(a) wrt a?\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*n - 16*n + 91 + 55 = 11 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 2 + (-3 + 2 + 2)*(-4 + 1 + 5) + 5 - 3 - 1 - 3 + 2 + 3 + (0 - 6 + 14)*(-3 + 1 + 0) + 4 - 4 + 1)*(2 - 1 + 1 - 3*d).\nAnswer: 33*d - 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 388 by 93.\nAnswer: 388\/93","meta":{"dup_signals":{},"source":"arithmetic__div_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: Suppose -635 = -3*m - 5. Round m to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (2 + 3 - 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2629?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 PM and 5:20 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -101 - -98. Let c be (-1)\/(-3) - (-2)\/(-6). Sort c, -2, k in decreasing order.\nAnswer: c, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence axa when three letters picked without replacement from {z: 1, a: 2, x: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -572, -568, -562, -554, -544, -532?\n\"Answer: j**2 + j - 574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 772091 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -31*h**3 - 470*h**2 - 18*h + 58. What is l(-15)?\nAnswer: -797","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179 is divided by 117.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 7:53 PM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21.91987 - 21.829. What is d rounded to two dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -166*c + 1. Let b(y) = -3*y + 2. Let r(j) = 5*j - 3. Let u(l) = -6*b(l) - 4*r(l). Determine u(i(m)).\nAnswer: 332*m - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 divided by 74.\nAnswer: -15\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**2 - 96954*f + 783339843.\nAnswer: 3*(f - 16159)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 14118, 3, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - c = -7, 10 = 2*x + c + c. Suppose x*p = z - 9, -7*p + 3*p - 9 = -5*z. What are the prime factors of (p + 8)\/(2\/6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -3*(((sqrt(539) - ((sqrt(539) + 3)**2 + 4 - sqrt(539))) + sqrt(539) - (4*sqrt(539) + -4)**2) + 2))*-6.\nAnswer: -165432 + 3654*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/(-1) + (-100 - 31). Let b = n + 408. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12 + (4 - 1) + -7. Let l(u) = 2 + 8*u**2 - 96*u**3 + 95*u**3 + 9*u + 2. Let i be l(9). Calculate the greatest common factor of i and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 15 = 0, 7*f - 5*j - 105 = 2*f. What is the smallest common multiple of 1 and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.9453884 kilograms?\nAnswer: 945388400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1616550*d*h*j - 2*d*h - 132*d + h*j - 13749 wrt j.\nAnswer: -1616550*d*h + h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 11*t**2 - 12*t + 8. Determine p(10).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 103 (base 9) to base 5\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - 4*r**2 + 7*r - 4. Let y = -8 - -2. Let l be c(y). Let g = l + -13. List the prime factors of g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -498.603.\nAnswer: -997.206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 + 8*v**2 + 5*v - 26. What is w(5)?\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3b13 (base 15) to base 10.\nAnswer: -12618","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g**2 - 8*g - 2. Let c be f(6). Suppose 2*s = s + c. What is the remainder when s is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0591 - 20390?\nAnswer: -20389.9409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -1723*l + 9. Let g(f) = -2292*f + 12. Calculate 7*g(m) - 9*t(m).\nAnswer: -537*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 AM and 6:13 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/1827 and -64\/87.\nAnswer: 1827","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/10 - (-2 + (-126)\/15). Find the second derivative of -k*g**5 - 20*g**5 - 11*g + 11*g**5 wrt g.\nAnswer: -380*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 9*f = -58, -28 = -2*y + 4208*f - 4203*f for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*u*x**3 + 1199*u*x**2 + 675*u*x - 262*u - 1662*x**4 - 8*x - 1 wrt x?\nAnswer: -12*u*x + 2398*u - 19944*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 44062280 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*y**4 - 2*y - 12*y**2 + 12*y**2 wrt y.\nAnswer: 84*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 - 9*b**2 + 10*b - 12. Let v be o(8). Find the second derivative of -v*a**2 + 7*a - 5*a - 7*a wrt a.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v**2 - v + 7 + 5*v + 0*v - 2. Let s be i(4). Let k(b) = -b**2 - 10*b + 14. Calculate the least common multiple of 10 and k(s).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*f = -286 - 143 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 4*h + 13. Let o be v(-2). Suppose o*a + 4*z - z = 444, 3*a + z = 264. Is 45 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6773538?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 0 - (-2 + -17 + 15).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (sqrt(320)*-1 - sqrt(320)) + -6*2*sqrt(320) + 4 + -2*sqrt(320) + -1)*3)**2.\nAnswer: -4608*sqrt(5) + 737316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of -f**3\/6 + f**2\/2 + 5*f. Let k be w(-6). Suppose -3*i - 84 = -k*i. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(156) + sqrt(156)*-2)*-4 + (sqrt(156) + 2*sqrt(156))*1)*2)\/((-1*sqrt(72)*-4)\/(sqrt(192)\/sqrt(2) + sqrt(6))).\nAnswer: 35*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**2 - y**2 + 2*y**4)*(2*y - 5*y + 4*y) + 0*y**5 + 4*y**5 - y**5 - y**5 - 2*y**5 + 5*y**5 + 6*y**5 - 3*y**5 + 6 - 10.\nAnswer: 10*y**5 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*v + 18. Calculate the common denominator of ((-126)\/(-15))\/((-32)\/(-60)) and (1 - (-16)\/v) + 1.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 59 = 19. Let a be 4*1 + f + 9. Suppose -44 = a*x - 110. Is 22 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/9*(-70)\/(-28).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 - 8*y + 4. Let p(j) = j**2 - 6*j + 1. Let t be p(7). Let x be h(t). Let u = x - -5. Solve v + u = -2*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*o**2 - 10*o**3 + 604 - 161 + 58*o**2.\nAnswer: -10*o**3 + 443","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -5*h + 9, -13*z = -10*z + 4*h - 11. Which is the closest to 8? (a) -4 (b) z (c) 36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + 6)\/((-9)\/(-9)). Suppose -a*y - 2*y = -4*y. Solve -3 = -q - y*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*u**3 - 36155*u**2 - 14*u + 549?\nAnswer: 114*u - 72310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 3*x = 2*x - 5, -4*x = 4*m - 12. Let t(w) = -w**3 - 5*w**2 + w + 7. Let h be t(-5). What is the greatest common divisor of h and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2)*(-5*r + 10*r + 0 + 1).\nAnswer: -10*r - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -5*o**3 + o**2. Give s(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -12\/7, -1\/5, -1\/6.\nAnswer: -12\/7, -0.3, -1\/5, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153*u - 20 = -158*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331) + 2)**2*-2.\nAnswer: -2670 - 88*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 0 (c) -2\/15 (d) -403 (e) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n**2 - n. Let v be w(-1). Let o(k) = 4*k**2 + 3*k. What is the tens digit of o(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 63. Let w be r(0). Suppose 0 = -2*t - 54 - 108. Let o = w - t. What is the lowest common multiple of o and 16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 0) + ((-19 - -91) + -19 - (46 - 51))?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, q: 4, l: 6}. Give prob of picking 1 k and 2 q.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 937*b + 14. Let a(c) = 67*c + 1. Let v(d) = -14*a(d) + n(d). Let g(u) = 0*u**2 - 3*u**2 - 11*u**2. Determine v(g(w)).\nAnswer: 14*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 10687?\nAnswer: -2\/10687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -45 + 50 + -2 + (-2 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 12:32 PM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.01, -3, -2\/5, 6, 86?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 7, y: 6}. Give prob of sequence yys.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w - 35. Let c(v) = 3*v + 105. Let y(z) = -4*c(z) - 14*l(z). Let m be y(-11). Suppose -4*o - m = 4*o. Is o at most as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-14)\/119 - 14420\/(-34). Let p = m - 412. Calculate the highest common factor of p and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of g**4\/8 + 22*g**3\/3 + 7*g**2 + 1. Let v be p(-13). Put -5, -2, v, -1 in ascending order.\nAnswer: -5, -2, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6687.1768 to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 151 = -3*v, -3*v + 0*v + 71 = 2*k. Let c be (5*3\/(-6))\/((-6)\/12). Calculate the highest common divisor of c and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10900 + -6516. Is 8 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -18 and 47\/15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 302*n - 327*n = -78125. Is n at least 3125?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6120826608 to the power of 1\/2, to the nearest integer?\nAnswer: 78236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 15 = -0*b. Let w = 3.054 - 0.054. Is w > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -128d3 + 7?\nAnswer: -128ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1818 = 26*y - 28*y. List the prime factors of y.\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*c**4 + 72*c**2 - 7 + 0*c**4 - 77*c**2 + 0 + 3 to f*c + n*c**3 + j*c**4 + y*c**2 + h and give j.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 3, -12 in increasing order.\nAnswer: -27, -12, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13.08*-420.71.\nAnswer: -5502.8868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 565 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 564 times -55\nAnswer: -31020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29067?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 25*w + 23 = -229, 2*w + 0*w - 4*w = 2*i - 18 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54, 163, 744, 1869, 3718, 6471?\nAnswer: 10308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4\/6)\/1)\/(2\/9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 252850?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2*u - 23 = -5*j, -2*u = j - 1. Suppose j*d + 3*f = 38, -4*d + 0*d + 29 = f. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 444937204?\nAnswer: 2, 151, 709, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = -3*x - 2*x + 13, -8 = o + 4*x. Solve -3*w - 4*a = -16, w - a - o = -1 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from zfjjaa.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in nine tenths of a kilogram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-2757.493.\nAnswer: -5514.986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*f - 196 = -20*f. Calculate the remainder when f is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -322 + 322.000602. What is l rounded to five dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 4*l + 2*l - 4 = 0, 0 = j - 5*l + 26. Let s = -2 - j. Let a = -7 - -11. Solve -m + 4 = -s*f, f + m - a = -0*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1619, 1578, 1537, 1496, 1455, 1414?\nAnswer: 1373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 194 + -206. Let x(z) be the first derivative of -z**3\/3 - 11*z**2\/2 + 10*z + 20. Let b be x(h). Is -3 > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 20*s - 5280. Suppose 58*t = 52*t + s. Is 40 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -5*n, 4*y = -y + 3*n + 24 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9a49 + -3?\nAnswer: 9a46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23*h**2*j*x - 122*h**2*x**2 - 2*h**2*x + h**2 + h*j*x**2 - 31*j*x**2 - 15*j*x + 3*j wrt x.\nAnswer: -244*h**2 + 2*h*j - 62*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand i + 0*i + 0*i + (4*i + 0*i - 2*i)*(-7 + 0 + 2) + (-4*i + i + 4*i)*(-2 + 1 + 0) - 2 + 2 + 3*i + (1 + 2 + 21)*(-1 + 8*i + 1).\nAnswer: 185*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -2. Suppose -t = -w*k + k + 4, -12 = -2*k + 4*t. Suppose -5*c = -4*g - 1895, -k*c - 4*g = -579 - 179. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 860 is divided by 123.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78 + (23 - 30) + -72.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*x = -52*x - 224 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1826585682?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 + -24.102. Let p = -1.102 - q. Which is the smallest value? (a) -0.3 (b) p (c) 5 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4472 divided by 4472\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14*(-5)\/1960)\/(4\/((-8)\/(-3)))?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 76 + -69. Suppose j*a = -4*a + 55. Suppose 4*k + t + 176 = a*k, 2*t - 523 = -3*k. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, o: 2}. What is prob of picking 1 k and 1 o?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 4*c**2 - 33*c - 11. Let m(z) = z**2 - 9*z - 3. Let u(n) = 22*m(n) - 6*s(n). Let i(q) = -460*q - 1. Determine u(i(d)).\nAnswer: -423200*d**2 - 1840*d - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -113 - -105. Let g = -12 - -22. Let d = g + q. Solve a - d*z = 5, 4*a - 2*a + z = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -2\/3, -2\/21169, -16\/3 in decreasing order.\nAnswer: 13, -2\/21169, -2\/3, -16\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -42*a**4 + 318*a**3 + 4*a**2 - 7779.\nAnswer: -1008*a + 1908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - 7)*6\/(-15). Suppose -p = -2*f + 8. Suppose 0 = 2*s + f*r - 168 - 889, 1618 = 3*s + r. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 636656?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/14)\/((-2)\/4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 3. Let s(u) = -4*u**2 + 5*u + 6. Let b(v) = 3*v**2 - 4*v - 5. Let t(w) = 5*b(w) + 4*s(w). Determine a(n) + 3*t(n).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -3*g + 8. Let f(z) = -4*z + 7. Give 4*f(d) - 3*x(d).\nAnswer: -7*d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3094581?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 4*t**3 - 23*t**2 - 62*t + 289. What is o(6)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 86423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xtvxvxvxxn. Give prob of picking 2 v.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (-1 + 8 - (344 - 355) - (10 + -1))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4802\/4116*300\/(-56)?\nAnswer: -25\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o - 3 - 3*o + 7)*(-9550*o + 11*o**2 - 53*o**2 + 9555*o).\nAnswer: -42*o**3 - 163*o**2 + 20*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 - f + 1. Let a(n) = -4 + 38*n**2 + 7*n**3 - 2 + 2*n - 48*n**2. Let d(j) = -a(j) - 5*c(j). Is d(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 394705 and 45?\nAnswer: 3552345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 65855209 times 0.4?\nAnswer: 26342083.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of -11*t**6\/360 - t**4\/6 + 4*t**3 + 25*t**2. Let g(b) be the first derivative of a(b). Differentiate g(y) with respect to y.\nAnswer: -22*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*q = 17*q - 16*q. Let l(f) = f**3 + 3. Calculate l(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 7*t - 6. Let r be z(6). Suppose -y + 4*y - 123 = 2*o, -117 = -3*y + 4*o. Let n = r - y. Put -4, -5, n in increasing order.\nAnswer: n, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-361)\/(-5 + (-24)\/(-5)).\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a tonne in kilograms?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*d = -67 + 463. Suppose 2*u - 3 = 15. What is the greatest common divisor of u and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 4:55 PM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 32*((-10971)\/1696)\/(-69)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/sqrt(48) + sqrt(11) + sqrt(88)\/(sqrt(8) + sqrt(8)*-2))**2 - (4 + -1*sqrt(99)).\nAnswer: -5\/4 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 58263?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(9\/3) - 5. Calculate the remainder when (-1*2)\/(y\/65) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 4*r**2)*(-2*r - 4*r + 3*r) + 1586*r**3 - 1582*r**3 - 2*r - 15*r.\nAnswer: -8*r**3 - 17*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l\/(l\/l**(14\/3)))\/l*l)\/l*l)\/(l*l*l**(6\/13)))**(-16\/3) assuming l is positive.\nAnswer: l**(-1376\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**0)**(-6\/23))**(-1) assuming x is positive.\nAnswer: x**(6\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 121*w**5 + 6*w**2 - 4*w.\nAnswer: 7260*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2789, -5545, -8301, -11057, -13813, -16569?\n\"Answer: -2756*w - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2263201586 a multiple of 161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 4)*(-33*v**2 + 43*v**2 - 100*v**2) + 3*v**2 + v**2 - v**2.\nAnswer: -177*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (10\/3)\/((-6)\/153). Let z = -2359 - -2451. Let q = y + z. List the prime factors of q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y + 16. Determine t(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (3 + -1 + -1 - -1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.3 - 0.06. Let p = b - -0.36. What is the nearest to p in -2, -3\/4, 1.1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 4*c + 2*k - 928, 1544 = 5*c + 4*k. Let m be (-844)\/44 + 19 - 532\/(-22). What is the highest common factor of m and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28812968*s**4 - 1462841*s**2 + 3*s wrt s?\nAnswer: -691511232*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -76, -156, -236, -316?\n\"Answer: -80*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6862772426.\nAnswer: 2, 61, 1933, 29101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of 0 - 15\/2*b**2 + 0*b**3 + 0*b**4 - 13*b - 9\/5*b**5. What is the first derivative of g(i) wrt i?\nAnswer: -108*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 7:52 AM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10508332?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + (-2 - -11*1). Let i be 1\/3 - (-69)\/9. Let u = z - i. Solve 15 = -5*w, -2*l + 0*l + 1 = -u*w for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 17 + (3 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 304 = -2*v - 286, -5*r = -v - 19. Let d(o) be the third derivative of -3*o**3 + 0*o - 14*o**2 - 1\/30*o**5 + 1\/2*o**r + 0. Factor d(w).\nAnswer: -2*(w - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-10)\/15)\/(12\/(-18)). Let j be (-5)\/2*(2 + n + -26803). Round j to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 10) to base 3\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 1070?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 5 = 0, 8 + 15 = 4*o + 3*z. Let y be (4 - -1)*2\/o. Solve y*a = 3*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 l when four letters picked without replacement from hqqkhlqhkbbqqbqqqll.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 2*t - 40 = -h, 4*t - 52 = 2*h. Let u be (-2)\/(4\/(-2))*(t - 11). Solve k = 2, u*k = 4*a - 4*k + 28 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 673*p**5*y**3 - 1117*p**3*y**3 - 12*p*y**2 + 6254*p*y - 2*p - 2*y**3 wrt p?\nAnswer: 13460*p**3*y**3 - 6702*p*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -206.82 rounded to the nearest ten?\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 689 and 169.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*a + 52*a = -1 + 1. Solve -2*r - 8 = -3*r + 2*b, a = 3*r - 5*b - 21 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 18507?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1142 + 2078. What is the hundreds digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 - 10*r + 30. Let m = -79 - -67. Let u be a(m). Which is smaller: u or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1233933\/209 + 5904. Let r = 642\/1045 - t. Suppose 0 - r*a - 3\/5*a**2 = 0. Calculate a.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2 - 4*s**2 - 24 + 2*s**2. Let x(f) = -1596769*f + 1596769*f + 3*f**2. Determine x(m(g)).\nAnswer: 12*g**4 + 264*g**2 + 1452","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 31*h**4 + 81*h**4 - 141 - 27*h**4 + 22*h**4 wrt h.\nAnswer: 428*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -86 - -173. List the prime factors of l.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 268 = 12*u. Let q = -49 - u. What is the lowest common multiple of q and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 - 7*n**2 + 7*n - 7. Let f be b(6). Let z be (f + 4 + -2)\/1. Suppose z - 41 = -5*g. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 65*g**4 + 22*g**3 + 3*g - 180. Let a(i) = 33*i**4 + 12*i**3 + 2*i - 91. Let d(u) = -7*a(u) + 4*t(u). What is the second derivative of d(b) wrt b?\nAnswer: 348*b**2 + 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -89 divided by -270?\nAnswer: 89\/270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 250249 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80 and 4240?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 10883130, 21766268, 32649406, 43532544?\n\"Answer: 10883138*k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -5*f - 0*t - 28, 4*f + t + 26 = 0. Suppose 3*i = -23*d + 21*d + 14, 0 = -3*d + 4*i + 4. What is the units digit of f*d\/12*-19?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of -122*q**5\/5 - 521*q**3\/6 - 105*q. Find the second derivative of r(c) wrt c.\nAnswer: -2928*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 11\/66 + 386\/(-12). Let y = d + 34. What is the third derivative of -8*f**5 - 172*f**2 + 173*f**y - f**5 wrt f?\nAnswer: -540*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of 2*x + 0*x**2 + 0 + 1\/3*x**3. Let w(u) = 2*u. Give s(w(c)).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -90 (b) -2\/11 (c) -1 (d) 36 (e) -2\/9 (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -682, -699, -716, -733, -750, -767?\n\"Answer: -17*w - 665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -10469025 divided by -2093805\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -4468*c + 2368036. Give o(530).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 444, 410, 350, 258, 128, -46, -270, -550?\n\"Answer: -n**3 - 7*n**2 - 6*n + 458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57386?\nAnswer: 2, 7, 4099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 183, -4, -4.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 15, -5, -4, -36, -3 in descending order.\nAnswer: 15, 1, -3, -4, -5, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4179*o**3*s**2 + 22*o**3 + o**2*s**2 - 2*o**2*s - 5*o**2 - o*s**2 + s wrt s.\nAnswer: -8358*o**3 + 2*o**2 - 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 48241 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: Two letters picked without replacement from ppppacppppvapp. What is prob of picking 1 a and 1 p?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 3*a**2 - 2*a + 1. Let c be p(3). Let d be c*(2 + 1 - 4). Solve 5*g = -o, 4*o - 24 = d*g + 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 + t + 5. Let o = 20 - 24. Let z(k) = -8*k**2 + 7*k + 11. Let q(v) = -7*v**2 + 6*v + 11. Let m(l) = o*z(l) + 5*q(l). Give -5*g(h) + 2*m(h).\nAnswer: -h**2 - h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/10 + (-53)\/(-2). Suppose 5*r - 3*o - 3 = o, -k = -5*r - 4*o. Suppose 0 = -r*w + 3, -2*f - 2 + 9 = -w. Solve g + f = -g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4057086463 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12\/14)\/((-26)\/(-2548)). Calculate the greatest common factor of 126 and i.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27b7e (base 16) in base 11?\nAnswer: -101257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3754093 divided by -7.\nAnswer: 536299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g - 1 - 20*g**4 + 11*g**4 + 13*g**4 to the form o*g**2 + u*g**3 + z*g + q*g**4 + c and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 z when two letters picked without replacement from wqz.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -4*f + 9. Let p(z) = -3*z + 12. Let g(l) = -3*p(l) + 4*s(l). Let t(o) = -177*o + 2. Calculate g(t(m)).\nAnswer: 1239*m - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y**3 + 1526*y**2 - 4348*y - 161102. Give w(760).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 28*k - 14. Suppose -2 = -2*a, -14 = 4*x - 3*a - 35. Let z be (0 - 4) + x - -1. What is the units digit of v(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 11:23 AM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -3*l + 3. Let g = 7 - 4. Let b be (-19)\/3 - (-1)\/g. Let c be t(b). What is the highest common factor of c and 231?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -3*d**3 - 14*d**2 - 41*d - 8. Let w be h(-4). Suppose 23*q - w = 152. Solve 0 = -a - 5*i - q, -2*a + 0*a = -5*i - 21 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -40.3 + 42. Let v = -0.113 + 0.923. Let a = v - u. What is a rounded to 1 dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2800 and 6608?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/3 (b) 5\/4 (c) -17\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-10) - 48\/(-20). Let b(z) = -u*z + 3*z - 6*z - 1 + z**2. What is the units digit of b(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - 4*t**2 + 2*t + 7. What is p(-3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46113466 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 - p + 1. Let v(u) = -2*u**3 - 4*u**2 - 4*u + 6. Calculate -4*r(k) + v(k).\nAnswer: 2*k**3 - 4*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 94251?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3626189 is divided by 682.\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**4\/8 + 98933*y**3\/4 + 667731*y**2 + 19289387*y\/4 + 33434791\/8 = 0. Calculate y.\nAnswer: -197839, -13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13481 rounded to the nearest one hundred?\nAnswer: 13500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2b402 + -2?\nAnswer: 2b400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + 10*v**2 - 52*v - 736. Calculate a(-10).\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 197 - 109. What is the remainder when p is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -275 + 275. Suppose -4*a + 13547 = 3*o, i*a = -a - 2*o + 3383. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42 times 5344.26\nAnswer: 224458.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pznqqziznyynqpp. Give prob of sequence qp.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 40024 + 75?\nAnswer: 40099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvv. Give prob of sequence vv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(147)*2 + 4 + (-2*sqrt(147) + -2)**2*-3.\nAnswer: -1775 - 154*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 8028084, 8028108, 8028132?\n\"Answer: 24*z + 8028060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-6\/11)\/m*m*m)\/(m*m*(m\/(m**(6\/5)\/m))\/m*m*m)*(m*m**30*m)\/(m*m*m**(3\/25)) assuming m is positive.\nAnswer: m**(7297\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-3)*((-15)\/((-8550)\/(-25004)) + 44)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, p: 3, x: 2, q: 2, f: 2, u: 6}. Give prob of picking 1 p and 1 x.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1054, -4, 4, 0, 1, -3 in decreasing order.\nAnswer: 4, 1, 0, -3, -4, -1054","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most 1\/36384?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -122687.02 rounded to the nearest 10000?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yxcmyxzm. Give prob of picking 2 y.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -57 - -56. Let n be (-1 - 0)\/(q + (-72)\/(-76)). Calculate the highest common divisor of 19 and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23450 is divided by 1370.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**3\/5 - 588*o**2\/5 + 1962*o - 6820 = 0. What is o?\nAnswer: -310, 5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -8*v + 424. Suppose -3*l = -j - 92, -v = -2*l + 5*j + 4. What are the prime factors of l?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*g - 189 = -13*g - 58*g for g.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 6*((-1428)\/72)\/(-17)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 108 and 1572?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - (10 + -17 + 9)) + 1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -346658 (base 9) to base 12.\nAnswer: -a0668","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**5 + 3294*x**2 - 3224*x**2 + 2*x**5 - 53*x + 11*x**4 + 15 - 42*x**3 = 0. What is x?\nAnswer: 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 2*j - 6*j + 12, 8 = 4*q. Suppose 3*p - 1 - 5 = 0. Suppose 92 = p*t + j*t. List the prime factors of t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -5*y + 34. Let t be c(6). Suppose -a = a - 48. Solve -4*z = -d - a, t*d - 5*z + 23 = -18 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 909518261 to the nearest integer?\nAnswer: 30158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 15) in base 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 4*i + 13 = 0, 11 = -3*x + 5*i - 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2109\/2 - -3164\/3. Which is the closest to 2\/7? (a) 2\/7 (b) 5 (c) 80 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**3\/7 - 60*f**2\/7 - 104*f\/7.\nAnswer: -4*f*(f + 2)*(f + 13)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -72 + 77. Let t be 2\/(2\/(-3))*-1. Suppose 2*s = d + 56, t*s - x*d - 9 - 75 = 0. Is 28 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 3.9336\nAnswer: 1.57344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 11:08 AM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -18*a - 4. Let x(z) = z. Determine v(x(q)).\nAnswer: -18*q - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 50 and 2020.\nAnswer: 10100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3195840*f**2 - 6*f - 7472459?\nAnswer: -6391680*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s + 5. Let i be r(5). Solve 0 = -4*x + 5*k - i, 0*x - 4 = x - 2*k for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 12:26 PM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -704*h**2 - 97*h - 112*h + 705*h**2 - 216*h + 163*h - 179*h.\nAnswer: h**2 - 441*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of -y**5\/60 - 5*y**4\/12 - y**3 + 33*y**2. Give t(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 30772 and -0.1?\nAnswer: -3077.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*c, 0 + 1 = -2*b + c. Let q(d) = 3*d - 6. Let h be q(-6). Let f = -17 - h. Calculate the highest common factor of f and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 - 5*u - u**3 + 4*u**2 + 7*u**2 - 10 - 2*u**2. What is j(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10375009 is divided by 34?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 392840.0498339 + -390890.049834747. Let d = a - 1950. Round d to 7 decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 81 + 5ce4?\nAnswer: 5d65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xtt when three letters picked without replacement from {x: 1, f: 3, j: 2, t: 3, r: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1830801?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 243 is divided by 60.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 15 + 6?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*i**4 + 14736*i**3 + 792969*i**2 - 15573306*i + 4384440 = 0.\nAnswer: -641, -76, 2\/7, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1406154 to the nearest integer?\nAnswer: 1186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 10*l**3 + 2 - 10*l**3 + 17*l**3.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*v**2 + 39645*v**3 + 65*v**2 - 39644*v**3.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 5*s - 23. Let i(r) = -7 + 3*r + 3*r**2 - s - 2*r + 15. What is i(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 15 and 0.022487920892.\nAnswer: 15.022487920892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25521\/14 - 1824. Suppose 0*m - 20 = -3*m - 4*s, m + 20 = 4*s. Calculate the common denominator of 2 + 122\/(-8) + m and r.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2 - 2 + 1. Let l(n) = n + 1. Let f be ((-2)\/2)\/1 - (18 - 22). What is f*l(o) + v(o)?\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2501*g**2. Let i(r) = r**2. Calculate i(t(s)).\nAnswer: 6255001*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45, -74, -103, -132?\nAnswer: -161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -98 - (197 + -123 + -36).\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1\/9, -2, 1.3, 39.\nAnswer: -2, 0, 1\/9, 1.3, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -134.4265*-0.3\nAnswer: 40.32795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 147208 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 33*x**2 + 2*x + 10. Let t be m(4). Calculate the highest common divisor of t and 126.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 301348?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + -2 + -3 - (-189 + 117)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10047?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**4 - 90*f**3 - 88*f**2 = 0. What is f?\nAnswer: -44, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -217*o + 116*o + 707 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 6*s**2 - 5*s**2 + 9*s**2. Let w(q) = -68*q - 5. Let m(h) = 95*h + 7. Let b(l) = 5*m(l) + 7*w(l). Determine a(b(u)).\nAnswer: 10*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*z + 16*z + 8*z.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4286581 to the nearest integer?\nAnswer: 2070","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 AM and 9:15 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 50 = 103. Suppose -5*u - l + s = 0, 3*u - 3*l + 0*l = 45. Suppose -n - 7 - 4 = 5*k, 5*n = k + 23. Calculate the lowest common multiple of u and n.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 432\/45 + -3 + -6. What is the fourth smallest value in 2\/11, -47, r, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 0.4 (b) -0.4 (c) 23 (d) -405 (e) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 17*k**2 + 12*k + 11. Calculate the remainder when z(-3) is divided by 68 + 1\/(1\/(-1)).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(2\/53)\/p*p*p)\/p)\/p**9)**(-1\/19) assuming p is positive.\nAnswer: p**(25\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92.17967 kilograms to grams.\nAnswer: 92179.67","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c*m**3 + 228906*c*m**2 - 1116835*m**3 - m**2 wrt m?\nAnswer: 6*c - 6701010","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = b, 0*v - v + 5*b = -14. Let y = v - -13. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 706*n**2 - 2432*n**2 - 433*n**2 - 53 with respect to n.\nAnswer: -4318*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 18073.4 to the nearest one hundred.\nAnswer: 18100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -24*y**2. Let v(g) = 19*g**2. Give j(v(h)).\nAnswer: -8664*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 12:46 AM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-5))\/((130\/(-10))\/65)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1765972228 to the nearest integer?\nAnswer: 42023","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (0*3\/12)\/((-44)\/(-44))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23011030303 (base 4) to base 8.\nAnswer: 13051463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b + 4. Let s = 7 + -5. Suppose -s*q + q = 2. Give y(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.2, -1.4, -2.2, 0.25?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1199371 at least -1199371?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -1684*h - 2015. What is the tens digit of d(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 944, 1056, 1168, 1280, 1392?\n\"Answer: 112*y + 832","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1995?\nAnswer: 3, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/2*(11 + -9). Let q(v) = 6*v + 5. What is the units digit of q(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 5*b = 27, -5*d + 3*b + b + 8 = 0. Suppose 3*z + 0*z - 4*y = 15, -d*y = -2*z + 14. Calculate the greatest common divisor of 9 and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -51*m**3 - 2*m - 2. Let j be z(-1). Let p = -43 + j. Suppose -2*g + 68 = 5*f, -28 = -3*f + 4*g - p. Is 12 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1454\/12)\/(2\/3). Let d = f - 2143\/12. What is the common denominator of 5\/(-2)*(-255742)\/(-36020) and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 564 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 l when two letters picked without replacement from wgxwwolgleglgw?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15082 - 3553?\nAnswer: -18645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.033332057 rounded to five dps?\nAnswer: -0.03333","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-38)\/(-8) + (4 - 15\/4). Solve 0*a + z*a = 15 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -445*q = -514*q + 1449 for q.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 7:28 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1168 and 160?\nAnswer: 11680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2184496?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cxxq when four letters picked without replacement from {c: 6, q: 1, x: 4, d: 1, w: 1, n: 3}.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 613?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -8 + 2. Factor p + 7 + 3*v**2 - 7 - 6*v.\nAnswer: 3*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 38061066 and -13?\nAnswer: 38061079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 5 + (0 - 8) + (-22 - -2).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 4*z - 320 = 0, -5*a - 3*z + 130 - 520 = 0. Let s be 2\/(-6)*1 + (-1375)\/a. Solve 5*h = -q - s, -4*h + q = -3*q + 24 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 87 + -65. Suppose -b = n - 5*o, 2*o - 3*o + 8 = n. Is n a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1 (b) 0.036213 (c) 1\/5 (d) -240\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 971 * 6460\nAnswer: 6272660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2907314846 and 0.05?\nAnswer: 2907314845.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -1. Factor 0*r**w - r**2 - 2*r**2 + r**3 + 4*r**4 - r**2 - r.\nAnswer: r*(r - 1)*(r + 1)*(4*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/59189 and 67\/3393?\nAnswer: 532701","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 k when two letters picked without replacement from {h: 1, v: 1, s: 1, c: 2, y: 1, k: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, -14, 20, -3 in descending order.\nAnswer: 20, -1, -3, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 4*x + 9 = 3, -10*w = 4*x - 46 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.17 in -11, -0.0672, 23?\nAnswer: -0.0672","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/21 (b) 0.5 (c) 2\/11 (d) 3\/5 (e) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 367900 and 1132?\nAnswer: 367900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1693 + 10159\/6. Let k(g) be the third derivative of 0 - 4*g**2 - w*g**3 + 7\/60*g**6 + 1\/24*g**4 + 0*g - 1\/60*g**5. Give k(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 3, 3\/7, -0.4, 52529?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in -4\/37, 4, 1\/2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 k when two letters picked without replacement from {z: 1, k: 1, w: 1, b: 1, x: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 535350.\nAnswer: 2, 3, 5, 43, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78 - 78 + 156 - 54938*l**3.\nAnswer: -54938*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 divided by -3.\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 0.106, -3, -23 in increasing order.\nAnswer: -23, -3, -2, 0.106, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8730696 kilograms to milligrams.\nAnswer: 873069.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = -34*f + 60*f - 31*f - 25, -d - 3 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q**2 + 3*q - 4. Let p(h) = 3*h**2 + 6*h - 7. Let a(v) = -7*c(v) + 4*p(v). What is the second derivative of a(y) wrt y?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) - sqrt(99)*-1)\/sqrt(3) + sqrt(3300)*2)\/(1*sqrt(1584)*1)*-4.\nAnswer: -22*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1029160 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6179658 or -6179655?\nAnswer: -6179655","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 + 57 = 3*r. What is the remainder when r is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5722309 smaller than -5722309?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 366 a factor of 1112640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 10121?\nAnswer: -10121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 - 28. Let a = v + 24. Does 7 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7\/(-56)*0 + 8. Let y(o) = -g*o - 6*o + 23*o + 3*o. Let s(z) = -6*z. Give 9*s(r) + 5*y(r).\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2443*n - 206*n + 2650*n.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddhdggddm. What is prob of picking 1 m, 1 d, and 1 h?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -590471933 - -590471959.00000004. Let y = -1662 + 1636. Let q = c + y. What is q rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -7*g - 2. Let m = 71 - 75. Give t(m).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 473 + 2 - (13 + -13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**5\/4 + 3*d**4\/2 + 27*d**3\/4.\nAnswer: -d**3*(d - 9)*(d + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x - 2*u + 20, 13*x + u - 3*u - 6 = 23*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 108186674903 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 369 divide 49184664?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -3*i**5\/2 + 129*i**4\/2 - 225*i**3\/2 - 849*i**2\/2 - 246*i = 0.\nAnswer: -1, 0, 4, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(110)*-1 + sqrt(110))\/sqrt(5))\/((sqrt(704) - (sqrt(704)*-1 + sqrt(704))) + sqrt(704) - sqrt(704)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 + 98*s + 844. What is z(-8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 688 divide 148745600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 153 in -0.51, -67, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15696 by 436.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 4*i + 37, -h + 0*h + i = -8. Suppose -4*c + 2*k + 16 = -0*k, 18 = -c - h*k. Factor 8\/7 - 2\/7*l**c + 0*l.\nAnswer: -2*(l - 2)*(l + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 14 = 5*q - 4*g, 0 = -2*g - 8. Suppose -q*h + 15 = 179. Let t = 88 + h. Solve 3 = a + t for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24322948 to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/60? (a) 6 (b) 0.5 (c) -5.5 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -152 - -162. Suppose 0 = -4*n - m - c + 28, 0 = 4*n - 5*m - 30. What is the highest common divisor of n and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 36\/24*22\/3. Suppose -3*m + 18 = -0*y + 2*y, 0 = 5*m - 3*y - z. Solve -5*d = x + 30, m*d - x + 10 = x for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 3. Let g be 8 - (n - (-2 - -2)). Suppose -z - 4 = -g. Calculate the remainder when 11 is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - 526 = -2*k - 8*n, 4*n - 12 = 0. Suppose 0 = 13*c - 1768 - k. What is the lowest common multiple of c and 4?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-2*sqrt(171) + (sqrt(171) - (sqrt(171) + 1 + sqrt(171)))*-5 + sqrt(171) - (2*sqrt(171)*3 + -1))**2.\nAnswer: -288*sqrt(19) + 10980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 18\/15*(-6 - -1). Let w(c) be the second derivative of c**4\/12 + 7*c**3\/6 - c**2\/2 - 27*c. Calculate w(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0*(-2 - 0 - -1))\/(-1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -156 + 334. Is 178 at most as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -4*t - 76. Let m be y(-15). Let a(w) = -w - 27. Let f be a(0). Let j = m - f. Does j = 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 - 42*x + 604. Let b be j(29). Is 224 > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22 + -6. Let w = -26 - -11. Let d = w + y. Is d < 12\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 545 is divided by 109?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4178327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 - 7\/2*m**2 + 1\/2*m**3 + 8*m = 0 for m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 19256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 6*x - 8*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**2 + 1179*f - 40800.\nAnswer: 3*(f - 32)*(f + 425)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*o + 0*o - o)*(0 + 2 - 3) + (3 - 3 + o)*(2 + 0 + 0).\nAnswer: 9*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-153)*102\/68\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 - 20657*a. Let q(t) = -279*t**2. What is l(q(f))?\nAnswer: -77841*f**4 + 5763303*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -20*k**2 - 10*k - 32. Let i(w) = -7*w**2 - 3*w - 11. Let q(o) = -o. Let y be q(4). Let s(d) = y*z(d) + 11*i(d). What are the prime factors of s(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3682, -3576, -3466, -3346, -3210, -3052, -2866, -2646?\nAnswer: -2386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 13, h: 3}. Give prob of sequence sshs.\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5399510 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a**2 - 18*a - 2. Give t(-10).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13350131 + -1882359989\/141. Let l = s - 117\/47. Let o = l + -59. What is the nearest to -1\/2 in o, 0, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e0a2 - c9?\nAnswer: dfd9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -648.9293 - -650.2. Let p = h - 1.26. Round p to three decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3068159557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/9)*l**(1\/3)*(l*l*l\/l**2)**(-7\/6))\/((l\/(((l\/(l**7*l*l))\/l)\/l)*l*l**(-7))\/(l\/(l*l**(-2)))**(-2\/9)) assuming l is positive.\nAnswer: l**(-115\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = r - 181, 5*l = 5*r - 6*r + 226. Calculate the lowest common multiple of l and 15.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 AM and 6:28 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express z**4 - 1551*z**3 + 1336*z**3 - 5*z + 8*z - 8*z**2 as q*z**2 + i + w*z**3 + l*z + o*z**4 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqqqqqqqfqff. Give prob of sequence qffq.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*q - q + q)*(-5 - 2 + 0) as s*q + o and give s.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 41555492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/6*(-12)\/(-9)*(-180)\/(-40). Let l(p) be the third derivative of -p**4\/24 - p**3\/3 - 2*p**2. Calculate l(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 140268 and 607828.\nAnswer: 1823484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1898 * 0.166.\nAnswer: -315.068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -7 - (-18 - (4 - (17 + -10))).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - q - 3)*(1 + 0 + 0) + 3*q + 2*q - 3*q - q - q + 4*q)*(2 - 2 - 9).\nAnswer: -27*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 + 7*d - 4. Let x be c(6). Suppose 23 = 3*y + 4*a, x*y + 0*a + a - 12 = 0. Let r = -6 - -8. Solve w + 22 = y*h + r*w, 10 = 2*h + w for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d - 48 = -56 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 8, 2, 3 in decreasing order.\nAnswer: 8, 3, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 355, 699, 1033, 1351, 1647, 1915?\nAnswer: 2149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 - ((0 - 0) + 1 + -4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7358343 is divided by 11373?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 51788 and 45254.\nAnswer: 9684356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k - 4. Let q(f) = 2*f - 3. Let w(i) = 4*q(i) - 3*r(i). Let m(g) = -9*g - 5*g + g + 10 + 12*g. Give m(w(s)).\nAnswer: -2*s + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6266952 to the power of 1\/2, to the nearest integer?\nAnswer: 2503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -228 = -10*o + 6*o. Is o a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -8. Suppose 84 = 2*v - o*s, 2*v - 220 = -2*v - 5*s. Does 25 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 AM and 4:52 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -2*b + 5*b - 2*q, -15 = -2*b + 5*q. Suppose -2*x + b = 0, -2*x = u + 2*x - 11. Let t = 24 + u. Solve 0 = 5*f - 0*f + t for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -x + 2*z, -x + z = -0*x - 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -6*l + 46. Let g be a(-13). Let x be 21\/(-28) - 9\/g*-9. Are x and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*d**3 + 44*d**3 - 2*d**3 + (5*d + 0*d - 3*d)*(-2*d**2 - 2*d**2 + d**2) - d**3 - 3*d**3 - 3*d**3.\nAnswer: 24*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -56 - -58. Calculate the smallest common multiple of 15 and ((-15)\/(-60))\/(h\/8) + 32.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = -3*p - 23, 4*x - 36 = 2*p - 34 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of c**6\/120 + 37*c**5\/60 - c**4\/12 - 73*c**3\/6 - 10*c**2 + c. Let m be h(-37). Solve 100*f - 101*f = m for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -1\/175?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10020 + -1?\nAnswer: -10021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -48.994787 - -2.084?\nAnswer: -46.910787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*k + 5*k - 2*k)*(-484*k + 244*k - 3*k**2 + 241*k + 127) to y*k + b + r*k**2 + d*k**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + s**2 - s + 5. Let c be y(0). Suppose 5 = 2*v + 5*g - 3, c*v + 50 = 5*g. List the prime factors of (-3)\/(v\/(-2)) + 21.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = i - 8. Solve 2*c = 3*c - i for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36680 rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 29225 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -n**3*v**3 - 70*n**3*v**2 + 9*n**3 - 38*n**2*v**3 - 29*n**2 wrt n?\nAnswer: -6*v**3 - 420*v**2 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -68) + (-24 - (11 + -12)) + 27.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 34, -12, 3 in decreasing order.\nAnswer: 34, 3, -12, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - 2*i**2 - i. Let r(y) = y**3 + 2*y**2 + y. What is -2*r(u) - 3*x(u)?\nAnswer: u**3 + 2*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i - 131 + 39 + 89. Let p(a) = -2*a + 3. What is -3*j(g) - 2*p(g)?\nAnswer: -2*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.5, -1\/120, 7868, -0.3?\nAnswer: -1\/120","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*34\/12*4)\/((30940\/357)\/(-26))?\nAnswer: -51\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l + 8. Suppose -3*s = -4*g + 19, -s - g + 16 = -4*s. Give c(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 53079 and 34025?\nAnswer: 1326975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14225 is divided by 187.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 231701044.\nAnswer: 2, 151, 383611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(1\/((-1)\/2)))\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a gram in milligrams?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -432*k**4 + 18748*k**2 - 18748*k**2 + (-k**2 - 5 + 3*k**2 - 3*k**2)*(-2*k**2 + 3*k**2 + k**2).\nAnswer: -434*k**4 - 10*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 2\/9, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 + 43 + -106 + 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 422 (base 5) to base 4\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100000 (base 2) to base 4.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f**5*v**2 + 40*f**5 + 3*f**2 + 20*v**2 wrt f.\nAnswer: 120*f**2*v**2 + 2400*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*c**3*j - c**3 + 4929*c**2*j + 16*c**2 - 369*c*j + 6692*j wrt c.\nAnswer: 120*c*j - 6*c + 9858*j + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 20 = -4*n. Let u = n - -5. Solve u = -0*b - 3*b + 9 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2302 = -2*q, 3*j + 32*q - 29*q = 2310. What is the greatest common divisor of 6 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -707 - 41*f**2 + 707.\nAnswer: -41*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 42\/11, -4, -0.5?\nAnswer: 42\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + 10*i**2 + 24*i + 5. Let d be h(12). Let t be d\/15*-722697 - 1. What is t rounded to the nearest ten thousand?\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 31624832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 175 - 173. Suppose 3*w = -5*h + x*w + 905, -25 = 5*w. Is 7 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1*2\/(4\/50)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27568 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: Two letters picked without replacement from xxixxixxx. Give prob of picking 1 i and 1 x.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v\/v**(-3\/5)*v))\/v)\/(v*v*(v\/v**(1\/2))\/v))**(1\/8)*(v**(-7)*v**(1\/2))\/(v**(-2\/3))**13 assuming v is positive.\nAnswer: v**(397\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -0.082?\nAnswer: 0.0246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 5*m + 13, 5*n - 2*m + 19 = 8*n. Put -9, 4, n in ascending order.\nAnswer: -9, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of 126*v**2 + 5394. Let c(p) = -p**2. Determine o(c(l)).\nAnswer: -252*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -957, -1982, -3063, -4194, -5369, -6582, -7827, -9098?\n\"Answer: y**3 - 34*y**2 - 930*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*h - 9 + 9)*(-2 - 2*h**4 + 2).\nAnswer: 14*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20211 - -110220122010?\nAnswer: 110220212221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 5. Let j = 9 + t. Factor -2*f**2 - j*f + 4*f**2 - 6 + 10.\nAnswer: 2*(f - 2)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3 - 14*h**2 + 16*h.\nAnswer: -2*h*(h - 1)*(h + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 745 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*h = 61*h - 520. Let i(f) = -106*f - 78. Let r(g) = 12*g + 9. Let a(z) = h*r(z) + 6*i(z). Let y(d) = -18*d. What is a(y(m))?\nAnswer: 216*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80888362.\nAnswer: 2, 31, 89, 107, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + 5*j - 2. Let l(h) = -h**2 - 7*h - 13. Let q be l(-6). What is m(q)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 - 13*g**2 + 2. Let a be c(13). Suppose a*v + 0*v + 3*n = 47, -4*v + 124 = -4*n. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -a?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 24\/7*f**4 + 36*f**2 + 108\/7 - 270\/7*f - 2\/7*f**5 - 16*f**3 = 0?\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from ijiijiiiiijiiii?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(68) + 2*sqrt(68))*2)\/((1*sqrt(16) - sqrt(16)) + 4*sqrt(36)).\nAnswer: -3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(2*(sqrt(13) - sqrt(104)\/sqrt(8)) - (sqrt(13)*-1 + -1)) + 2)**2.\nAnswer: 30*sqrt(13) + 142","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 0) + -5 - (1 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - p, 3*p = 5*s - 10. Suppose 20*y - 392 = 6*y. Suppose -22 = 3*f - y. What is the highest common divisor of s and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*1\/((-3)\/(-60)). Let m be 2\/(-5) - (-38)\/p. Let z(v) = -v**2 - 9*v + 12. Let x be z(-10). Which is greater: m or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -232225400 + -11?\nAnswer: -232225411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 465091 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 1, -1, -0.1, -83, 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 12 = -2*f - 2*c, f - 3 = 3*c. Let m = f - -15. List the prime factors of m.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.035 - 0.075. Let x = -0.110043 - u. What is x rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3086?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*h*r**4 - 6*h*r**3 - 11*h*r**2 - h + r**4 - r**2 wrt r?\nAnswer: -96*h*r - 36*h + 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -824 - -823. Sort 2, -2, x, 1.\nAnswer: -2, x, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 - 81021*y + 891359. Give h(11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*z = -3*s - 48*z + 170301, 3*z = 0. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 91714*1*(-2)\/32. Let t = 5722 + r. Calculate the common denominator of t and 31\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 2*v = 4298 + 5683, 5*m - 9990 = 5*v. What is the greatest common factor of m and 735?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5225?\nAnswer: 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31031 + -31028. Let 0 - 66*b**2 + 7\/3*b**5 - 56\/3*b + 66*b**4 + 49\/3*b**q = 0. What is b?\nAnswer: -28, -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o**3 - 15*o**2 + 3*o - 3. Let a be d(10). Let j = -304 + a. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 393*s - 379*s - 644 = 0. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0256045726 rounded to six dps?\nAnswer: -0.025605","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 6 = -m, -c - 182 + 184 = m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8815418 is divided by 191.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 51 - 33. Does 6 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5030.761 weeks?\nAnswer: 845167.848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 4) + 3 + -36 + 44.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3059?\nAnswer: 7, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 191747 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4356 - -146?\nAnswer: -4210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 - 10*p + 3. Let t be ((-20)\/7)\/(14\/(-49)). Let s be v(t). Let f = 11 - 11. Which is the second biggest value? (a) 2\/5 (b) s (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 21?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 18, 76, 174, 312, 490, 708, 966?\n\"Answer: 20*z**2 - 2*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/156948 and 167\/25230.\nAnswer: 22757460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*u - 5 = -5*q + 65, -4*u = 6*q - 32 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 330.97 and -2.01601?\nAnswer: 332.98601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*m + 1 + 1 + 4 - 170*m + 152*m.\nAnswer: -5*m + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 5*r + 5*m - 36, -2*r = -2*m - 18. Let o be (-5 - 102\/(-18)) + (-4)\/6. Solve o*b + 14 = r*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1008 and 53430\/53 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/2 and (-802)\/160 + ((-8)\/10)\/(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 11*s + 12*s. Let u(t) = 5*t + 90. Determine u(s).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 6 = -6*d. Suppose -3*m + 885 = -3*p - 4*m, -d*p = 3*m + 885. What is the tens digit of (-32)\/(-48) - -2*p\/(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/sqrt(80) - sqrt(11) - (sqrt(539) + 2)**2.\nAnswer: -543 - 115*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -654 = 5*f + 267*m + 454, f = 5*m - 11 + 23 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/8)\/1*(-2)\/(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -3*u - 12, 5*u + 3 + 17 = -4*o. Solve o = 4*b + g - 9 - 4, -4*g + 22 = b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*v - 9*v + 3*v)*(5 + 0 - 4) + 3*v - 3 + 3.\nAnswer: -11*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 PM and 7:54 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -303*k**2 - 16 + 27 + 116*k**2 - 11 - 140*k**2.\nAnswer: -327*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3286 (base 13) to base 12.\nAnswer: -40a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-17 - (-11 + (7 - 6))).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 + 144*x + 3598. Give i(-32).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3. Let u = -1 + 0. Let v be 0 - (-4 - -1 - -2). Let d = u - v. Calculate s(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from qzzzqzqz.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z + 4. Let x be j(4). Suppose x = 4*b - 3*q - 68, 3*b + 0*b - 68 = -2*q. What is the remainder when 58 is divided by b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/(-3)*18\/4. Let t be -5*(-6)\/j*-1. Suppose f - 24 = -t*f. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1*sqrt(300) + sqrt(300) + -2 + 2 + sqrt(300) + 5 + sqrt(300) + 5.\nAnswer: 11 + 40*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 703 - -209. Suppose 4*m - 5*i - k = 0, 4*i - 228 = -m - 0*m. What are the prime factors of m?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -f**4\/24 + f**3\/12 + 18*f - 10. Let j(b) be the first derivative of v(b). Factor j(q).\nAnswer: -q*(q - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 232, 889, 1986, 3523?\n\"Answer: 220*r**2 - 3*r + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v = 5*v + 5118. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -35713682 or -35713680?\nAnswer: -35713680","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 52.556348 to one dp.\nAnswer: 52.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2079 and 336?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/32 of a gram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 402943 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 7*s**2 - 1206*s + 16521. Give w(15).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 380\/3*o**3 + 1280\/3*o - 70\/3*o**4 - 640\/3 + 5\/3*o**5 - 1000\/3*o**2.\nAnswer: 5*(o - 4)**2*(o - 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 106251?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.21 + -0.055. Let g = -1.32331 + 1.1692. Let l = k + g. Round l to four decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06*0.035.\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20*20\/(-200))\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 58848.4 to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 20443058809 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 2*v - v + 2, -4*v = 3*p - 13. Suppose 0 = -5*c + 2*f, 3*f = -0*c - c + 17. Solve -7\/4*o**c + p*o + 1 = 0.\nAnswer: -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((1 - 0) + -3)*22\/44. Is d + (-553)\/(-49) + 2\/(-7) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7664 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.2904491 litres?\nAnswer: 290.4491","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11798583?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 493.45 smaller than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eseeeeeeseseeeseeee. Give prob of sequence se.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5546377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 299 or 5694\/19?\nAnswer: 5694\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-2492)\/890*((-1896)\/(-189) + -1 + -9)\nAnswer: -4\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 10:51 PM?\nAnswer: 9:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 82 + -141?\nAnswer: -7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/17 in 0, -1\/6, -14, 2.4, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-25)\/(-2))\/(3\/6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 4*y - 27492 = 0, -4*m - 16504 - 5495 = -5*y. What are the prime factors of m\/32*12\/(-9)?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of -f**4\/6 + 1546*f**3\/3 + 2*f - 3873. Determine i, given that j(i) = 0.\nAnswer: 0, 1546","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(-12)\/(-3))\/((-360)\/(-20))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/13 - 106*a\/13 - 1392\/13.\nAnswer: -2*(a + 24)*(a + 29)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cjcjjjojjjjjjzjcczcv. Give prob of picking 2 z, 1 v, and 1 j.\nAnswer: 11\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 216, 13, -1042, -3375, -7412?\n\"Answer: -71*x**3 + 294*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and -35256.\nAnswer: -35260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 499422?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3624455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 412019\/819 - 4526\/9. Find the common denominator of h and 151\/6.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8727.\nAnswer: 3, 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 7. Let x be (-1)\/(-5)*(2 - 1). Let g = 1.3 - -3.7. Sort x, g, k in decreasing order.\nAnswer: g, x, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 473 - 471. Suppose 3*j - k - 33 = -2*j, 5*j - 29 = 3*k. Solve -i*a - 5*a = j for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 9, e: 10}. What is prob of picking 1 i and 1 e?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -f - 4, -57*f - 16 = 5*a - 53*f. Sort -92, a, 4, -3 in decreasing order.\nAnswer: 4, a, -3, -92","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of 0*h + 1\/72*h**4 + 0 + 1\/180*h**5 - 10*h**2 - 1\/9*h**3. Solve d(t) = 0 for t.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 2*a + 152. Suppose 0 = 2*d - 7*d - 385. Let w = a - d. What is the remainder when w is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3310.631 to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -81a2 (base 14) to base 7.\nAnswer: -121662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of 0 + 0*s**5 + 3\/2*s**2 - 11\/3*s**6 + 0*s**4 + 54*s + 2*s**3. What is the second derivative of z(k) wrt k?\nAnswer: -1320*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from bobjbooj?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5920662 by -986777.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -9919.47 * 0.4\nAnswer: -3967.788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 28*v - 31*v + 619, 3*a = -2*v + 417. What is the derivative of 477 - 44*x - 242 - v wrt x?\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 11:50 PM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 192234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 5, 12, -5, 1, 3 in decreasing order.\nAnswer: 12, 5, 3, 1, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1826718?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -3*f + 2. Let l be a(-6). Let j = 8691 + -8681. Calculate the highest common divisor of l and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 17 + 77 = 0. Let d = 24 + r. Suppose -d*j + 8*j - 2*z = 132, j = -2*z + 38. Does 17 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**2 - u**2 - 2*u**2 + (3*u**2 + 3 - 3)*(0 + 2 - 6) + (-2*u + 0*u + 0*u)*(-9 - 5*u + 9).\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9\/(-3*5\/(-20)). Let k(r) = -a*r + 13*r - 5 + 8*r. Let b(p) = 4*p - 2. Determine 14*b(w) - 6*k(w).\nAnswer: 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 6 = 6*w - 2*m, 5*w - 4*m - 15 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of 4*q**3\/3 + 37*q**2 + 2*q + 18. Let m be s(-10). Put m, 6\/11, 0 in decreasing order.\nAnswer: 6\/11, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -0.22641420177\nAnswer: 2.22641420177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -103.5 - -37368.\nAnswer: 37264.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 39651357?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5757 is divided by 5736.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/1936 and -105\/968?\nAnswer: 1936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -r + 3. Suppose r*f - 3*q = 24, q + 35 = 4*f - 2*q. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.7 - -3.3. What is the closest to -1 in -3\/5, a, -0.3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 309818 to the nearest integer?\nAnswer: 557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2397 divided by -51?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90137.\nAnswer: 23, 3919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 163\/53580 and 13\/2020154?\nAnswer: 1151487780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from egdedeeeddeejrree. Give prob of picking 1 e, 1 d, and 1 g.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2262 + -2264. What is the fourth biggest value in i, -2\/7, -6, -0.5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-18)\/15)\/(10\/(-25)). Suppose n*l = -2*a - a - 18, 3*l - 4*a + 25 = 0. Is (-3132)\/(-84) - (-2)\/l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (17\/44)\/((-1)\/16) + (1 - -5)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - -5. Let y = 10 - q. What is the tens digit of ((-24)\/20)\/(y\/(-70))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) 0.5 (b) -5 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*z + 82 = -1622. List the prime factors of z.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8)\/(-12))\/((-4)\/(-6)) - -5. Suppose -o*k + j + 15 = -2*k, 4*j = -3*k - 3. Solve -z + 5*x = 23, -x - k - 8 = 5*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323756003 to the power of 1\/2, to the nearest integer?\nAnswer: 17993","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -1 + 11. Suppose 8*j - 1172 = -r*s + 4*j, -3*s = 5*j - 1762. Let z = -1165\/2 + s. Calculate the common denominator of -79\/10 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1095478 divided by -5.\nAnswer: 1095478\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-58 + 43 - (-1 + -2)) + (8 - 4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.84 - 3.16. What is the smallest value in g, -18, 2\/7?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/((-6)\/21 + 31\/84). Let j = 1082\/9 - m. What is the nearest to 1\/4 in 1\/12, j, -0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 11121, 11111, 11101, 11091, 11081?\n\"Answer: -10*u + 11131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 3*q + 4*c, 2*q - 12 = 4*c - 16. Solve 0 = q*h - 165 + 145 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) -585 (c) 0.03285 (d) 2\/5 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + 16. Solve -s - y = -6*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 w when four letters picked without replacement from {w: 3, t: 1, o: 1, v: 3, i: 2}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5505 divided by -367?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -341.033 - -341. Let j = -0.467 + k. Which is the nearest to -3\/2? (a) -3 (b) -0.4 (c) j (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4228*c**2 - 4225*c**2 - 25*c + 8464*c**2 to the form k + v*c**2 + h*c and give h.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 166489?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -81 + 34*k**2 - 83 + k - 150*k**2 - 82 + 249 as w*k**2 + i + b*k and give w.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 256 + -80. Let c = -176.0000081 + h. Round c to six decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 606726027?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2. Let q be 8\/(-10)*(-25)\/10. Let f(z) = 1 - 1 - 2*z + 0. Let c(x) = x. Let n(d) = q*f(d) + 6*c(d). What is g(n(a))?\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/16 or 3464489?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.301123 - -0.301. Round p to 5 decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 + 86*g + 167. Let p be x(-2). Suppose -4 = -2*b + 4. Sort b, p, 2.\nAnswer: p, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -3*o**3 + 2*o**2 - o + 1. Let s be z(-2). Suppose -3*x + 430 = -w + s, 3*x = -3*w + 387. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seventeen halves of a micrometer?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*v = -4*v - 5*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -56.1 - 15.9. Let v = y + 72.6. Let g be ((-1)\/5)\/(4\/30). Put -1, g, v in ascending order.\nAnswer: g, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sum -12156817142186 and -0.14.\nAnswer: -12156817142186.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r + 5. Let x(p) = p - 11. Give 9*h(t) + 4*x(t).\nAnswer: -5*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(75) + 1 + ((sqrt(192) - 1*sqrt(192)) + sqrt(192))**2.\nAnswer: 5*sqrt(3) + 193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 6 - 3. Let v be (0\/(6 + -3))\/z. Sort -3, 3, v in descending order.\nAnswer: 3, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tgg when three letters picked without replacement from {t: 2, g: 6, o: 5}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3268*q**4 + 13*q**3 + 1307*q**2 - 3*q + 5.\nAnswer: 78432*q + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 2*w**5\/3 - 380*w**4\/3 - 9526*w**3\/3 + 42232*w**2\/3 - 54376*w\/3 + 22048\/3 = 0.\nAnswer: -26, 1, 2, 212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -272 + 88 = -4*c. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 a, 1 b, and 1 w when four letters picked without replacement from {b: 2, a: 5, w: 3, m: 7}.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*944.\nAnswer: -188.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 6*p + 9. Let d be a(-1). Let y be 12*2*2\/6. Solve -k - d*k = y for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 25*w**2 + 29*w - 116. Let g be t(24). What is the third biggest value in 1\/417, 1, g?\nAnswer: 1\/417","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -1 - (1 + -4 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + 43)*11 + 2. Suppose -112 = -2*k + 290. Let b = g - k. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -243*y**4 + 5445*y**3 + 13370820*y wrt y.\nAnswer: -2916*y**2 + 32670*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 41560.81t?\nAnswer: 41560810000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15517 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -6*((2*(-3 + sqrt(567)*1 + -1))**2*-1 + 4).\nAnswer: -1728*sqrt(7) + 13971","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 - 26. Suppose -3*w = 5*g - 10, h*g + 5*w - 4 = w. Solve 5*i - 2*x = -0*x - 19, g*x + 8 = -4*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01849 rounded to four decimal places?\nAnswer: -0.0185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 643855.6 rounded to the nearest 10000?\nAnswer: 640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*h**2 + 36992\/3 - 544\/3*h.\nAnswer: 2*(h - 136)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 5*s**2 + 6. Let h(q) = 6*q**2 + 7. Let j(n) = -6*h(n) + 7*t(n). Let r(u) = -5*u**2. What is r(j(x))?\nAnswer: -5*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*l**2 + l**2 + 0*l**2 + 3*l**2 in the form x + p*l**2 + n*l and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2*o + 35 = 0, 4*n = n + o + 112. Suppose -3*c + n = 4. Suppose -c*h = -6*h - 20. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.2 + -3. Let t = -96332169.80000029 - -96332171. Let g = t - w. What is g rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 16 = -5*h + f, f = h - 6. Suppose -7 = -2*b - j, b - 9 = h*j - 0. Let r = -8 + 12. What is the highest common divisor of r and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 329506 and 469?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 112468 and 253053.\nAnswer: 1012212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 22353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, 0.03, -2.2, -0.13 in descending order.\nAnswer: 0.03, -0.13, -2\/13, -2.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-26)*m)**(3\/7) assuming m is positive.\nAnswer: m**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8002460*x - 9848948.\nAnswer: -8002460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6885440 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 14*y + 67. Let q be g(-5). Put -20, 3, q in descending order.\nAnswer: 3, q, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -58468394, -116936788, -175405182, -233873576, -292341970, -350810364?\n\"Answer: -58468394*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by -88724285\nAnswer: -7\/88724285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*h**3 + 5147552*h**2 - 473166656662*h + 135190053124.\nAnswer: -2*(h - 183841)**2*(7*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 47 + 15 = 0. Let x = y + 153. What is the remainder when x is divided by 24?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-60)\/(-35) + (-2)\/(-7). Solve -10*w + 6*w**4 + 20*w**o + 0*w - 20*w**3 + 2 + 12*w**4 - 2*w**5 - 8*w**4 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0443 - -54.5557. Let v = x - 55. Which is the nearest to 4? (a) 0 (b) v (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -9*h + 14. What is t(-6)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39023199?\nAnswer: 3, 109, 39779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-3)\/(-12) + 418\/24 and (-4)\/2*(-190)\/(-24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 0*s - 2*s + 0*s - 5. Let d(y) be the first derivative of -y**2\/2 - 3*y + 11. Determine -11*d(z) + 6*k(z).\nAnswer: -z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10.798 in 0.034, 4, -0.2, 3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2\/13, -12\/7, 3\/136, -3.\nAnswer: -3, -12\/7, 3\/136, 2\/13, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 657641003 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -45 + -323?\nAnswer: -401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155705.\nAnswer: 5, 11, 19, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2124 + 106?\nAnswer: 2232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -69, -115, -161, -207?\n\"Answer: -46*o - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 35 = 5*i, -4*i + m = -0*m - 22. Let j = i + -3. Find the third derivative of 2*z**3 - z**3 - 2*z**2 + 0*z**j wrt z.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 9)*(-2*z**3 + z**2 - z**2) + 3*z**3 + 2*z**3 + z**3 + 2*z - 2*z + z**3.\nAnswer: 19*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-265))\/(((-15148)\/8656)\/(2\/(-14 - 2)))?\nAnswer: -2\/371","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 4*w**2\/3 - 124*w\/3 + 264 = 0.\nAnswer: 9, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**4 - 170717*q**3 + 7285988161*q**2 + 7286500317*q - 14572317762 = 0.\nAnswer: -2, 1, 85359","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13347246 + -13347246.99999536. Let f = 1 + a. What is f rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 3 = -2*w. Let l = -48 + 36. Let y be ((-3)\/l - 1)\/(6\/4). What is the biggest value in -5, w, y?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 448 = u + u. Calculate the greatest common divisor of 14 and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 576, -2060, -3, -9 in decreasing order.\nAnswer: 576, 5, 0, -3, -9, -2060","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lorxrolhzxho. Give prob of picking 1 r, 1 x, 1 o, and 1 l.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93 = -26*v - 21*v - v + p, 4*p - 18 = -3*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 60859 + -9128801\/150. Find the common denominator of -63\/16 and k.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*b + 5*b - 5*b + (-19 - 69 - 179)*(2*b - 4*b + 0*b) to the form g + t*b and give t.\nAnswer: 537","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, z: 3, i: 11, h: 3}. What is prob of picking 2 i?\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 87897*h + 448158 with respect to h.\nAnswer: 87897","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 4*s**3 + s**2 - 9. Let n = -22735 - -22730. Let w(g) be the second derivative of g**5\/10 - 2*g**2 - 3*g. Give n*w(i) + 2*u(i).\nAnswer: -2*i**3 + 2*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -923\/18 + 652\/9. Let y = 111375 - 34526297\/310. Calculate the common denominator of y and q.\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 divided by 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 - 13*s - 171. What is the remainder when y(-9) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2687920849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u + 0 - u**3 + 3*u**2 + 305*u**4 + 2 - 306*u**4 to the form w + p*u**4 + s*u + x*u**2 + a*u**3 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 248*a + 242*a - 668*a + 179*a - 11509 to h + x*a and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 6:27 PM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -276587, -553181, -829775, -1106369?\nAnswer: -1382963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 113075, 113164, 113253, 113342, 113431?\n\"Answer: 89*f + 112986","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 6864587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*t - 8*t - 125. Solve b = -2*b + 5*p + 17, -5*b = 5*p + t for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(192)\/sqrt(6) + sqrt(2)).\nAnswer: -15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 29 - 7339?\nAnswer: -7310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -4*o - 55*u + 52*u, -5*u = 22*o - 122 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 49894 divided by 494?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 9\/4 (c) -87 (d) -4 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(65\/(-15) + 4). Suppose -3*b - 28192 = -6*b - 2*l, s*b = -l + 28196. What is b rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(1*-2))\/((1932\/112)\/(-23)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1322.\nAnswer: 2, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9847?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 z when three letters picked without replacement from zzzmczzzz?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-164))\/((-160)\/(-13120)*41)\nAnswer: -1\/82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -53661425, -53661428, -53661431, -53661434?\n\"Answer: -3*y - 53661422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 11\/(3 - 4)*1. Let p(d) = -d**2 - 10*d + 13. Let c be p(f). Suppose w - 4 = 0, 5*o + 4*w - w = c. What is the nearest to 0.01 in 3\/5, 0.4, o?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*g - 3*a, 5*g - 4*a - 15 - 4 = 0. Solve -g*y = 9*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 528*v**3 - 31*v**4 - 528*v**3 + (0 - 3 + 5)*(v**2 - v**2 + 2*v**4) - v**4 + v**4 + v**4 in the form t*v**4 + w*v**2 + m*v**3 + n + s*v and give t.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -0*i + 2*b + 275, 4*i = 2*b + 366. Suppose -362 = -231*y + 227*y - t, -4*t - 99 = -y. Calculate the greatest common divisor of i and y.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 12*t**4 - 24411*t**3 + 30498*t**2 - 6099*t = 0.\nAnswer: 0, 1\/4, 1, 2033","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (-3 - -11) - (1 + -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4239 is divided by 90?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -2*j + 52983, 0 = p + 2*p - 5*j - 31796. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 5*t + 3*t - 68 = 0, -20 = 4*t. Suppose -4*s = -w - w + b, -s - w - 13 = 0. Which is smaller: -11 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-16))\/1*16\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 92488.3 milliseconds in seconds?\nAnswer: 92.4883","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 509 - 1541 + 513 - 324*s + 27*s + 519.\nAnswer: -297*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1673244*z = -1673155*z - 6675 for z.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - ((-4 - -3) + 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**3\/6 - 15*d**2 + 378*d - 1764 = 0.\nAnswer: 6, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (172\/(-387))\/(10\/315)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 273055.58 to the nearest one hundred.\nAnswer: 273100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16242 rounded to 3 dps?\nAnswer: 0.162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7991219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**(-1\/2)\/u))**(-1\/16)\/(u**(-1\/4)*u*u*u**6)*(u**(-4)\/u*((u*u**(1\/2)*u)\/u)\/u)\/((u*u**1*u*u)\/(u*u**(-8)*u)) assuming u is positive.\nAnswer: u**(-717\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6741*f + 226*f - 45901 - 51824 = 0 for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13 + (-227913)\/17710 + (-2)\/10 and ((55\/(-20))\/(-11))\/(35\/679)?\nAnswer: 5060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (5 - 5) - (-4 + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 3*f - 80, -2*h + f + 146 = -0*f. What are the prime factors of h?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 188677?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 147 - 98 = -5*f, -f - 5*y = -45. Suppose -6*c = -c - f. Calculate the remainder when 39 is divided by c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -248*j**2 - 206*j?\nAnswer: -496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -24 + 32. Suppose -5*j + c + 6829996 = -0*j, -5*c + 2732020 = u*j. Round j to the nearest one hundred thousand.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-12)\/(-7))\/(9\/126)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10385244*h**2 + 12111783?\nAnswer: -20770488*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k**5\/3 - 48*k**4 + 980*k**3\/3 - 808*k**2 + 672*k = 0 for k.\nAnswer: 0, 2, 3, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -2404 < -2415?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 224, -1, -27, 0.4, 0.2.\nAnswer: -27, -1, 0.2, 0.4, 224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(2\/13)*(m*m\/(m\/((m\/m**(-11))\/m)*m))\/m assuming m is positive.\nAnswer: m**(132\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 219 - 150. Let w = f + -66. Find the third derivative of 24*c**2 - 457*c**3 + 457*c**w + 16*c**6 wrt c.\nAnswer: 1920*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3318.6 - -2667. What is m rounded to the nearest 10?\nAnswer: -650","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3392*9.\nAnswer: 30528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3.67122mg?\nAnswer: 0.00367122","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44386259 is divided by 1160.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p - 10. Suppose 8*h + 22 = 10*h. Suppose 0*v - 77 = -h*v. Calculate b(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(20\/(-525))\/(24\/(-60))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/139, 0.5, 0.35?\nAnswer: -2\/139","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-32)\/(-560) - (-1664)\/18655.\nAnswer: 6\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, c: 3}. Give prob of sequence cz.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1722735 is divided by 585.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a meter in centimeters?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 190295 and 20755.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*y**3 + 52035*y**2\/2 - 3395542*y + 339294 = 0. What is y?\nAnswer: -1158, 1\/10, 586\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3320\/(-544) + (-6)\/(-1). Is -1 smaller than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162 = 3*v - 6*v. Let l be (20\/(-35))\/(v\/21). Which is the third smallest value? (a) -0.4 (b) l (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ko when two letters picked without replacement from osokoko.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 6)*(-l**3 - l**3 + 0*l**3 + (3*l + 1 - 1)*(-5 + 5 + 2*l**2)).\nAnswer: 24*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 24*b**2 - 130*b - 1013. Let g(n) = -n. Give g(d(i)).\nAnswer: -24*i**2 + 130*i + 1013","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 76, -5, 2169, 0.05 in increasing order.\nAnswer: -5, -4, 0.05, 76, 2169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 12. Let o = 8 - s. Let l(a) = 5*a**3 - 4*a**2 + 4*a - 1. Let x be l(1). Solve 3*t + k + x*k = 31, 0 = o*t + 3*k - 21 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 240 and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.95 - 7. Let g = -3.95 + t. Put g, -2\/7, 0 in increasing order.\nAnswer: g, -2\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 - -381051843.0619.\nAnswer: 381051840.0619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 95837?\nAnswer: 383348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = 2*o + 3*o. Let v(x) = -58*x - x**3 + 35*x + 30*x - 9*x**2. What is the tens digit of v(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 80725409?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 36200993 and -3?\nAnswer: -108602979","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 11:13 PM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 + -8. Does s = 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48987576.\nAnswer: 2, 3, 11, 5623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -15*t**2 + 643*t + 734. Calculate c(44).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -3*p**5 - 14*p**4 - 15*p**3 + 54*p**2 - 16*p - 24. Let b(f) = f**4 - 2*f**3 - 2*f. Let t(o) = 6*b(o) - y(o). Suppose t(a) = 0. What is a?\nAnswer: -6, -2, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -109 + -64 + 183 + -16?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -25*z - 2. Let t(c) = 145*c + 9. Let p(d) = -11*i(d) - 2*t(d). Let y(x) = -2*x. Calculate p(y(s)).\nAnswer: 30*s + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 184, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3aa (base 15) to base 2.\nAnswer: 1101000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, p: 7, h: 1}. Give prob of sequence hr.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 815, -6, -89, 3, -1.\nAnswer: -89, -6, -1, 3, 815","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yccccccyyccccc. What is prob of sequence yy?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**(-2\/7)*i*i*i))**(1\/29)\/((i\/(i*i*i**(10\/9)))\/((i\/(i**(1\/2)\/i))\/i)))**(-14) assuming i is positive.\nAnswer: i**(-9325\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -18\/5. Let d = 0.8 - 1. Let u = -0.7 - d. Put x, -5, u in decreasing order.\nAnswer: x, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 206968?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (((-24)\/5)\/(-2))\/2. Let z = 22\/63 + -4\/7. Are z and n nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-109 - (60 - 230)) + -136\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1558 by 82.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**2 - 43 + 43)*(-1 + l + 1) + (-1 + 4 + 3)*(4*l**3 - 8*l**3 + 0*l**3).\nAnswer: -28*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/3 - (-2)\/(-6). Let q be (3\/w)\/1 - -5. Let b(k) = k + 6. Let o(m) = -3*m - 17. Let f(d) = q*o(d) + 17*b(d). Let n(p) = 3*p**2. Give f(n(y)).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 96 or 216\/449?\nAnswer: 216\/449","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/25 and -1 + 207\/165 - 0.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence chc when three letters picked without replacement from olqlcwlhcqc.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12255 and 10.\nAnswer: 24510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 9 + 29 = 0. Let l = 93 + -92. Let s be (l - -2) + 1 + 0. What is the closest to 1\/7 in -2, p, s?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 64 or 61?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5107559.\nAnswer: 127, 131, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9*101 - 8*12\/16. Suppose g = 6*o - 4143. What is the hundreds digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (r**3 - r**3 + 4*r**3)*(27 - 20*r - 27)*(0 - 4 + 2) as h*r + g + d*r**2 + s*r**3 + j*r**4 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fammrfwv. What is prob of picking 1 r and 1 v?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 6 = 0, 9*q - r - 28 = 4*q. Suppose -q*w + 11*w + 120 = 0. Let p = w - -26. Solve p*x + 5 = -5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1687958*10.9\nAnswer: -18398742.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/8? (a) 4 (b) -5 (c) 1\/6 (d) -329\/687\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 8004 = -d - 0*d, -5*d = -4*z + 39984. What is d rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + ((-558)\/(-28))\/((-13)\/((-6734)\/444))?\nAnswer: 45\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**5 + 95*k**3 - 170*k**2 - 60*k + 200.\nAnswer: -5*(k - 2)**3*(k + 1)*(k + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*m + 73*m**3 - 2*m**2 - 36*m**3 - 36*m**3 to the form g*m + r*m**3 + b + h*m**2 and give g.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/2298651 and 14\/3831085?\nAnswer: 11493255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200)\/(sqrt(30)\/sqrt(3)))\/(sqrt(30)\/(sqrt(9)\/sqrt(3))).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1656\/(-114) - 196\/((-2744)\/210).\nAnswer: 9\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10915*l**2 - 10662*l**2 + 31992*l**2 - 10701*l**2.\nAnswer: -286*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/15 (b) -6\/7 (c) -2\/11 (d) 7 (e) 1\/6 (f) 2\/25 (g) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0069041 to 4 dps.\nAnswer: 0.0069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 1, -8, -17, -26?\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v. Let m(d) be the first derivative of -2*d + 9\/2*d**2 - 40. Calculate h(m(n)).\nAnswer: -18*n + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*f - 34*f - 5293*f**3 + 14*f.\nAnswer: -5293*f**3 + f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4\/3 + -5\/6. Which is greater: i or 0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 5)*(204 + 294 - 310 + 2 - 6 + 2 + (-2 + 3 - 2)*(3 + 1 - 2))*(-18*z**3 - 3*z**5 + 19*z**3 + 16*z**2 - 18*z**2).\nAnswer: 552*z**5 - 184*z**3 + 368*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 457*p**4 - 6*p**3 + 6*p**2 + 6*p + 836. Let z(l) = 2*l**4 - l**3 + l**2 + l + 3. Let m(j) = w(j) - 6*z(j). Find the first derivative of m(q) wrt q.\nAnswer: 1780*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 41*q. Let p(b) = -4035*b + 12080*b - 4035*b - 4041*b. Determine g(p(i)).\nAnswer: -1271*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from ruauuauar.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*u**2 - 32*u**2 + 21*u**2 + u - 21 in the form a + f*u + b*u**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 949.691975 - 69184\nAnswer: -68234.308025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 + -77\/4. Let j = 213 + -234.8. Let k = j - -22. Which is greater: k or p?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*x = -20*x + 3*w - 11, -4*w = 3*x + 7 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 41448 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: Suppose 6*f**2 + 11732764*f + 7821840 = 0. What is f?\nAnswer: -1955460, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(1\/6))**40)**(1\/20) assuming g is positive.\nAnswer: g**(7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t**2 + 3901345*t - 78024900 = 0 for t.\nAnswer: 20, 780249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) + -1*sqrt(143)*-3 - sqrt(143)) + sqrt(143))\/sqrt(11) - ((sqrt(52)*2)\/sqrt(4) - 4*sqrt(117)).\nAnswer: 14*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 295540638?\nAnswer: 2, 3, 109, 451897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*c = 11*c - 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 427401 and 41067.\nAnswer: 11539827","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*u - 54*u = -2912. Suppose 53 + u = 24*j. Which is bigger: j or 32\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*455\/(-52)*8\/((7 - 16) + 10).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -173.3 - -173. Let r = 4.9 - 5. Let z = 492\/5 - 99. Which is the nearest to r? (a) i (b) -9 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 5. Let z be 2 - (-3)\/((-3)\/(-2)). Let d = 30951 - 30951. Solve -z*p + a*p - 8 = d for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 38*c - 2. Let a(q) = q - 1. Let j(m) = 5*a(m) + k(m). Is j(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of -p**5\/4 - 3*p**4\/8 + p**3 - 4*p**2. Factor n(r).\nAnswer: -3*(r + 1)*(5*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/35*(0 - 3\/6)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**4 + q**5 + 0*q**4 + (0*q - 3*q - q)*(-q**4 + q**2 - q**2) + (0*q**2 - 6*q**2 + 2*q**2)*(-3 + 3 + q**3).\nAnswer: q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2 + 162557*b + 2600656.\nAnswer: (b + 16)*(b + 162541)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (210\/4725)\/((-4)\/30)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (-9 + -23 + 0 + 9)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*r = -23*r + 56. Let p be 69\/(-27) - 0 - r\/18. Let x = 8 - 4. Sort 7, p, x in ascending order.\nAnswer: p, x, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = -3*v, 26 = -11*z + 5*v + 37 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.2, -3, 1\/9, 6, 1\/7.\nAnswer: -3, 1\/9, 1\/7, 2.2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/5 (b) 51 (c) -4 (d) 11\/31 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 + 8*r - 8. Let o be i(8). Let u = 17 + o. Calculate the greatest common factor of 63 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -44*j**3 + j**2 - 2*j - 3. Let c be h(-2). Suppose c = 8*p - 1259. What is the remainder when p is divided by 41?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*o - 18. Let s be (-3 + 1 - 1)\/o. Let b be s\/(-2)*(-10)\/5. Solve q = -3*y - 4 - 0, b = q - 4*y for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 3*c. Let z(s) = 161*s**2 + s. Give z(h(u)).\nAnswer: 1449*u**2 + 3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 9 = 0, n = -b - 1 + 11. Calculate the lowest common multiple of b and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 860664570 a multiple of 412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 59189308.81 to the nearest 1000000.\nAnswer: 59000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 618 is divided by 512?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 190.55 to the nearest 10.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*b + 0*b + 3045 = 0. Let v = 163 - b. What is the remainder when 48 is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 + 8*c**2 - 7*c + 7. Let l = 659 - 635. Calculate the remainder when q(5) is divided by l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 110*o**4 + 112*o**4 - 224*o**4 + 4*o**3.\nAnswer: -2*o**3*(o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*y = 13*y + 12. Let r = 3 - -1. Calculate the least common multiple of y*(4\/6 + r) and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84958 + -38.3586.\nAnswer: 84919.6414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1139922 to the power of 1\/2, to the nearest integer?\nAnswer: 1068","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 308813 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from aabacccbcabaaaaa?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11829256 to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 235169 - -78.\nAnswer: 235247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of f**2*h + 2*f**2*t + 16*f**2 + 13*h**2*t - 2*h*t - 14*t wrt h.\nAnswer: f**2 + 26*h*t - 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/19)*q**(-2\/9))**(-2\/11) assuming q is positive.\nAnswer: q**(40\/1881)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 16038140.1 minus -4?\nAnswer: 16038144.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -6. Let p(m) be the first derivative of -2 + 0*m**3 + 2\/5*m**k + 0*m**4 + 2*m + 0*m**2. Find the first derivative of p(z) wrt z.\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 253, 254, 255, 256, 257, 258?\n\"Answer: a + 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + 2. Solve g = u - 3*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 705 = -18*p + 579 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 8*n - 31. Suppose 0 = 3*b + 4*f - 1113, 4*b - 3*b + n*f - 366 = 0. What are the prime factors of b?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 177220 (base 9) in base 13?\nAnswer: 3b256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-3) + (-25)\/(-3). Suppose -h = 2*r - 30. Calculate the lowest common multiple of (r - -1)*(-8)\/(-6) and 14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.14 - 7.86. Let q = -15 - n. Let l = 6.9 + q. Which is the second biggest value? (a) -5 (b) -1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 PM and 6:09 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 + 4*k + 2. Let u be p(-5). Let j = u + -5. Let q = 56 + -40. What is the highest common divisor of j and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, z: 2, m: 7}. Give prob of picking 1 z, 2 s, and 1 m.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.276 - 1.664. Let i = x - -1.939993872. What is i rounded to 7 decimal places?\nAnswer: -0.0000061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 4*s**2 + 4*s - 5. Let y(r) = -3*r**2 - 5*r + 6. Suppose -d - d = 10. Let a(n) = d*q(n) - 4*y(n). What is a(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 112750.14 months?\nAnswer: 93.95845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -82250\/17 <= -4837?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -763629 smaller than -763625?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 445498?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((4 + sqrt(22)\/sqrt(275) - -1*sqrt(72)*-2) + 0)**2.\nAnswer: -472*sqrt(2)\/5 + 7487\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -10.0740537 and -170.7?\nAnswer: 160.6259463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 26489.53ug?\nAnswer: 26489530","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (62\/(-10))\/1*14\/(-105)*570\/76\nAnswer: 31\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2242, -16000, -53316, -125968, -245734, -424392?\n\"Answer: -1963*r**3 - r**2 - 14*r - 264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 9. Let g(a) be the first derivative of -1\/2*a**4 + 0*a**3 + 1\/2*a**2 + h + 0*a. What is the second derivative of g(z) wrt z?\nAnswer: -12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -994392907*t**3 + 1591*t + 94463.\nAnswer: -5966357442*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5505838?\nAnswer: 2, 13, 421, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 3 + 7. Suppose 5*z + 20 = a*u - 5, -u - 5*z = 7. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32.84173337 - 0.08\nAnswer: 32.76173337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8 + 24)\/8*34\/4. Suppose -5*q = -5*u, c*q = -3*u + 12*q + 32. Suppose -w + 9 = 2*w. Solve w*v - 9 = u*n, -5*v - 4*n = -2*v + 15 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = -3*k - 20, -5*v + k + 0*k = 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 66358 (base 10) in base 16?\nAnswer: 10336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1158938 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4*(-21)\/(-12))\/1. Let t(p) = 5*p**3 + 2*p - 8. Is t(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 f when four letters picked without replacement from wffwffwffffwawwfwff.\nAnswer: 385\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/54597 and 55\/9.\nAnswer: 163791","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*(2 + 65\/(-35)). Let y = 10.9 + -11. What is the closest to y in -2\/7, 0.2, z?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 36164174?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 49727 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 + 1)*(u + 4 - 4) + 0 - 2*u + 0 - 1088*u - 234*u - 355*u to the form i + b*u and give b.\nAnswer: -1680","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by -49?\nAnswer: 12\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 34*b + 686528 - 687004 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 244820, 244822, 244826, 244832, 244840, 244850, 244862?\n\"Answer: t**2 - t + 244820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 + -35 - (2 + 10 - 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*z - 10 + 20 = 4*h - 10, -3*h - z + 15 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15736419, -15736424, -15736433, -15736446, -15736463?\nAnswer: -15736484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p - 3. Let r(y) = -10*y + 14. Let x(b) = 2*r(b) + 11*v(b). Let a be x(7). Calculate the greatest common divisor of 3 and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d**5\/2 - 138*d**4 - 3*d**3\/2 + 138*d**2 = 0 for d.\nAnswer: -1, 0, 1, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 PM and 8:46 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/10 of a millennium?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*z = 79*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8778)\/(-1540) - (-6)\/20.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 1 = -3*k, 2*k - 2*q = -0*k + 6. Let u = -10 + 10. Suppose 0*s = -4*s + 24. Sort k, s, u, -4 in descending order.\nAnswer: s, k, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12962692.84 to the nearest 10000.\nAnswer: -12960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1161406*c**2 - 1161439*c**2 - 2333*c + 2333*c.\nAnswer: -33*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.12 and 158.\nAnswer: 18.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2157721\/122 - -17686. What is the common denominator of -111\/40 and h?\nAnswer: 2440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2183?\nAnswer: 37, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*b - 17395 + 17296 = 0 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 52*v = 54*v + 16, -i = -3*v - 11. Solve 2*f = 4*t, -3*t = i*t + 5*f + 15 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 382 = -378, 7*v + 5*f + 30 = 3*f for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 149. Let z = h - -139. Solve 0 = -z*y + 85 - 82 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6 + -6*2\/4. Let t = -21 - -55. Suppose -18*i = -i - t. Solve i*q - z = -13 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4451352 divided by -23932\nAnswer: -186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 355, 3, 0 in descending order.\nAnswer: 355, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 173 > 170?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/6*2044\/(-28105).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 34, 75, 132?\nAnswer: 205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 4, 3\/10, -5 in decreasing order.\nAnswer: 4, 3\/10, -2\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w - 3*w + w + 2*w + 0*w. Let p(i) = -1160*i**2 + 87*i. Let b(x) = -27*x**2 + 2*x. Let n(s) = 87*b(s) - 2*p(s). What is h(n(g))?\nAnswer: 58*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 12*p**5\/7 + 82*p**4\/7 + 152*p**3\/7 + 54*p**2\/7 - 44*p\/7 - 16\/7 = 0?\nAnswer: -4, -2, -1, -1\/3, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1312*c + 3954*c - 1320*c + 852*c**3 - 1322*c.\nAnswer: 852*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -15\/2, 116, -2\/13 in descending order.\nAnswer: 116, -2\/13, -15\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 64 in 3, -3\/2, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11.52313 days to milliseconds.\nAnswer: 995598432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 j when two letters picked without replacement from {s: 5, j: 15}.\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15338 is divided by 3066.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 60 = -11*l - 12 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) 0.4 (b) 128 (c) -0.174 (d) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3111849553 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*m**5 + 176*m**4 + 94*m + 6*m**5 + 264*m wrt m.\nAnswer: 40*m**3 + 2112*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -43*u**4 + 4*u**4 + u**4 + (-u**3 + 0*u**3 + 3*u**3 - 4*u**2 + 4*u**2 - 2*u**3 + (-4 - 2*u + 4)*(2 - 2 + 8*u**2))*(-u + 0*u + 2*u).\nAnswer: -54*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*a**2 + 22 - 7 + 22 - 64 + 27.\nAnswer: 31*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 97.718 and -2.\nAnswer: 95.718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12893 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1800*k + 10083 + 52413 = 804*k for k.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000608489778 to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 6\/(-27) - (-2193)\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -547*d - 8028 + 5894 = -185*d + 14880 for d.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-7) + 38\/14. Let r(k) = k + 2. What is the units digit of r(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16295*o + 15813*o + 24582 = 0 for o.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of a**2\/2 + 6*a + 41. Let f(x) = -2*x - 13. Give 4*f(i) + 9*j(i).\nAnswer: i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25 - 100) + (-394 - -402).\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 165950\/2050 + 22 - 103?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + 2*f - 2. Suppose 5*x = -3*y + 2*y, 2*x = 4*y - 22. Suppose -3*l = t - 17, 0 = -y*t - 5*l + 7 + 28. What is q(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -3*x - 1, -4*x + 20 = -t + 4. Suppose 4*c + c = 10. Find the third derivative of 10*m**2 + t*m**4 + 0*m**c + 0*m**4 wrt m.\nAnswer: 96*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -8*d**3\/3 - 51556*d**2\/3 - 25772*d\/3 + 8592 = 0.\nAnswer: -6444, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 14*k**2 - 6*k - 3. Let v(d) = -5*d**2 + 2*d + 1. Let j(p) = 6*c(p) + 17*v(p). Find z such that j(z) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1317491, -2634844, -3952199, -5269556, -6586915, -7904276, -9221639?\nAnswer: -10539004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7509, -15019, -22529, -30039, -37549?\nAnswer: -45059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 11 - (9 + (-23 - 4)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 350062?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -7*h - 10. Let c(x) = -3 + 10*x - 1 - 4*x + 4 + 9. Give 5*c(b) + 4*r(b).\nAnswer: 2*b + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-374)\/10 + 4\/10. Suppose 0 = -4*p - 4*s - 60, s + 2*s - 9 = 0. Let c = p - v. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3\/5 - 19618*v**2 - 1202755056*v\/5 - 1202656968\/5.\nAnswer: -2*(v + 1)*(v + 24522)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 10:40 AM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - 10*o**2 - o + 2. Determine d(10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-4))\/(1262\/316 + -4). Suppose 4*v + q = 87. Factor -15*w**4 + 2*w**2 - 4*w + 9*w**3 + 4*w**v + 4*w.\nAnswer: -3*w**2*(w - 1)*(5*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 28 = 2*h, 6 = 4*h - 3*n + 2. Suppose h*t = 4*v + 28, v = 6*v + 15. Is (-3 + t)*(11 + 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 14*i - 25. Factor -3\/5*f**3 - 6\/5 - i*f - 12\/5*f**2.\nAnswer: -3*(f + 1)**2*(f + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -29 and -1277544593.\nAnswer: -1277544622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-7) - 24\/63. What is the biggest value in 4, -2\/5, l?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 12*q. Let a(y) = -37*y - 1. Let s(v) = -3*a(v) - 8*k(v). Let g = -105 - -110. Calculate the remainder when s(g) is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*u - 5*p + p, 0 = -u + 5*p + 20 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -148*j - 2. What is the smallest common multiple of -24 - (24\/56 + 4992\/(-182)) and i(-3)?\nAnswer: 1326","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 169 - 131. Let z = 43 - c. What is the smallest value in -29, 6\/11, z?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14558570.\nAnswer: 2, 5, 13, 53, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1856 rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 69*d**2 - 164*d - 28. What is z(3)?\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**19*t*t**(-12))**26)**12 assuming t is positive.\nAnswer: t**2496","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*z + 8*z. Let v(i) = -i**3 + 33*i**2 - 60*i - 58. Let n be v(31). Solve -n*j + 5*c = -z*j + 28, 5*j + 14 = c for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 + 15*f - 8. Let n be h(-11). What is the units digit of -1 - 2 - (n + -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 + 0)*(0 + 2*z + 0)*(-6 + 3 - 1)*(-3 + 4 + 1).\nAnswer: -48*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 10*k - 3. Let c be x(2). Let p(g) = 20*g**2 + 17*g. Let u(h) = 7*h**2 + 6*h. What is c*u(z) - 6*p(z)?\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + 46 + -1 + 5. Suppose -z*b + 7826 = -45*b. Suppose b + 4608 = 14*l. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*x + 42*x - 241*x**2 + 758*x**2.\nAnswer: 517*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 2*h = -54. Suppose 4*p - 68 = -4*m, -19 = -5*m - 4. What is the remainder when h is divided by p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 3:40 AM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/(-2))\/((-18)\/36). Let d(p) = f - 212*p**3 - 20*p + 17*p + 6*p + 1. What is the tens digit of d(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1453*y**5 + 3212*y**3 + 2*y**2 + 66078*y + 20 wrt y?\nAnswer: -87180*y**2 + 19272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.13, -1.3, -33, -523, -6, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 268?\nAnswer: 2948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -397.08 - -397. Which is the closest to k? (a) -1 (b) -2\/9 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3\/2)*o**(1\/3))\/(o**(2\/3))**50 assuming o is positive.\nAnswer: o**(-69\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -4*u**3 - u**2 + u + 1. Let q be z(-1). Suppose 3*v - q = -2*r, -4 + 15 = 2*r - 5*v. Let w(i) = 2*i - 4. Let p be w(r). Solve -6*m - 8 = -p*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of a**3\/2 + 20*a. Let n(z) = 4*z - 3*z - 2*z. Determine w(n(u)).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 + 21.939. Round l to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -401*t**3 + 12*t**2 + 31*t + 109. Is z(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*s - 40 = -33*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 + 15*d**2 - 6*d + 11. Let i be (-282)\/24 - 1\/4. Is y(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -473*s + 100*s = 1242*s - 4845 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 - 12. Suppose s + 13 = 2*c, -a*s = -2*s + 3. Suppose -g = c*g - 36. Solve -3*h + 6 = -g*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -2*m + 2*l + 3*l, 11 = -2*m - 3*l. Suppose z - 30 = -5*j - 4*z, -z - 6 = -m*j. Let h = 11 + -10.6. Sort h, j, 1\/2.\nAnswer: h, 1\/2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 287705225 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 5 - 2)*(3*l + 0*l - l) - 59*l - 390 + 390)*(5 + 0 - 3).\nAnswer: -122*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -19039361 at most as big as -19039361?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - 15*r**2 - 32*r + 16. Let v = 171 - 154. List the prime factors of s(v).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 22*b**3 + 2*b**2 + 2*b - 3. Suppose 5*j = -5*y + 15, -3*j = -2*j - y - 1. Let t be a(j). Suppose -t = -g - 4*g. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = p - 3*p. Let r be (-17)\/34 + (-38)\/p. Suppose 0 = l - 1 - r. What is the remainder when 28 is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19355100?\nAnswer: 2, 3, 5, 149, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7 - (43 - 1) - 19\/(-19). Let n(r) = 6*r + 204. Determine n(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -3*c - 7. Let a(x) = x**3 + x - 3. Let n be a(0). Let p be j(n). Solve -5*h - 4*i + 17 = 0, -2*h + 6*h + p*i = 16 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-72)\/1350*45)\/((-4)\/(-90)*-3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (3 + 5 + -4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4*(8\/4 + -1). What is the common denominator of 71\/16 + (1 - c) and 388\/72 - (-20)\/(-12)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 82634, 330557, 743762, 1322249, 2066018, 2975069?\nAnswer: 4049402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-60))\/((2\/(-20))\/(6\/(-36)))?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**17\/i**(-2\/37))\/(i\/i**(-1\/10))**(-2\/13) assuming i is positive.\nAnswer: i**(41422\/2405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 139 - 137. Suppose w = -2*j + 186, 0 = -3*w - h*j - 3*j + 555. Is 12 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - s. Suppose -3*f - 6 - 6 = 0, -a + 4*f + 17 = 0. Let w be j(a). Suppose w = -4*g + 239 - 43. Is g a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 = -m + 5*y, 43*y - 46*y = -12*m - 18 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 17 - 12 = 0. Let m(c) = 70*c + 33. What are the prime factors of m(g)?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -26168*s**2 - 104692*s - 67. What is i(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 2. Suppose -v - 4 = -0*v, 48 = 4*u + r*v. What is the remainder when ((-12)\/(-39))\/(1342\/235521) is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**2 + 11369*h + 79632 = 0. Calculate h.\nAnswer: -7, 11376","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/678474 and 61\/162.\nAnswer: 6106266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 6:12 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12913 - 12915. Sort p, -0.4, -12\/19, 0.4 in ascending order.\nAnswer: p, -12\/19, -0.4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1021.\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 2*r = 35, 3*r + 4339 - 4239 = -2*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 15*s**2 + 5*s - 13. Let p(q) = 7*q**2 + 2*q - 6. Let z(r) = 6*a(r) - 13*p(r). Calculate z(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_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: Let x = -2.8 - -74.8. Let f = 73.86 - x. Round f to 1 dp.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 140 - 82. Suppose 4*m - u = -2*a, -5*m - 11 = a - 40. What is the remainder when a is divided by 1\/4 - (-117)\/12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**3\/19 + 340*b**2\/19 - 1384*b\/19 + 1392\/19 = 0. What is b?\nAnswer: -174, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -z - 0*z. Suppose -8 = -z*j + 4. Suppose 30*y + 111 = 261. Calculate the remainder when y is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 970322 and -5.5269.\nAnswer: 970316.4731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 20 = -5*o, 4*v - 3*v = -o - 4. Which is the third biggest value? (a) v (b) -4 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**2 - 2*u**2 + 1 - 4*u**2)*(-1 + 1 - 3).\nAnswer: 12*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 956783925?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/(d\/((d**(1\/6)\/d)\/d)))\/d*d*(d\/(d**(-5)\/d))\/d*d)**(10\/13)\/(d**(-3\/4)\/d**6) assuming d is positive.\nAnswer: d**(1793\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13485859 to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 83, 187, 343, 557, 835?\nAnswer: 1183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1030213222 (base 4) to base 16\nAnswer: -4c9ea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -21725 (base 12) in base 9?\nAnswer: -66612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1780, -7158, -16128, -28696, -44868, -64650, -88048?\n\"Answer: -j**3 - 1790*j**2 - j + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 77972512.18 to the nearest one thousand.\nAnswer: 77973000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 260*s - 945*s - 1277*s to the form o + x*s and give x.\nAnswer: -1962","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 155 and -0.7?\nAnswer: -108.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -641 - -1a?\nAnswer: -624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*m**4 + 6*m**4 - 1 - 2*m**4 - 767*m**2 - 1 + m + 0 as v*m + t*m**4 + d*m**3 + n*m**2 + u and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 301821507 to the nearest integer?\nAnswer: 17373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 + 29. Let o = y + -30. List the prime factors of o.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1035*p**3 - 30575*p**2 + 178360*p.\nAnswer: 5*p*(p - 8)*(207*p - 4459)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 8. Suppose 3*k = 44 - d. Calculate the greatest common divisor of 56 and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1180 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.13503 and -0.00059.\nAnswer: 0.13444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 AM and 7:40 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 71778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/6 + 35*d**2\/6 + 137*d\/3 + 100.\nAnswer: (d + 4)*(d + 6)*(d + 25)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-75)\/(-6))\/((-1)\/2). Let p = -79 - d. What is the remainder when 4*(-1 - p\/4) is divided by 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)\/sqrt(864) + (1 + 1*sqrt(13))*5 + -3)**2 + 4.\nAnswer: 61*sqrt(13)\/3 + 49525\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 27\/8, -0.12, -0.2, -0.3, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 101*c - 102*c + 2*m - 4, -5*c - 4*m = -36 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 4*z + 36 = 0. Let y(h) be the third derivative of h**5\/20 - 5*h**4\/24 + 13*h**3\/6 + 16*h**2. Is y(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -43 + 65. Suppose -n + 2 + 4 = 0. Calculate the remainder when (-21 - 0)\/((-3)\/n) is divided by b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -15*y. Let s(b) be the second derivative of 0*b**2 + 0 - 1\/3*b**4 + 21*b + 0*b**3. What is s(u(m))?\nAnswer: -900*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 255.478 - -2.522. Which is the second biggest value? (a) i (b) 4 (c) 0.1 (d) 0.3 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -2*a**4 + 68*a**3 - 192*a**2 + 188*a - 62 = 0?\nAnswer: 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*n + 11*n - 267846 = -4*f, 4*f - 267856 = 4*n. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (16\/6)\/(2\/6). Suppose b = a - 28. Suppose -10*u = 20*u - 120. What is the greatest common divisor of a and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1447 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + x = 6399996, -x - 4 = -0. What is l rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -6*s**2 + 236*s + 1785. What is h(46)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -11*m - 36. Let j(i) = i**2 + 11*i - 18. Calculate the lowest common multiple of j(-13) and n(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -28, -36, -46, -58, -72?\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 42494710 to the nearest 1000000.\nAnswer: 42000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Convert 5454.372 milligrams to micrograms.\nAnswer: 5454372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u - 7*u - 2958 = u. Is 5 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3)*a*a**9\/a*(a\/a**(3\/26))\/(a\/(a*a**(6\/11))))**(-5\/4) assuming a is positive.\nAnswer: a**(-10625\/1144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*i + i + 2*i + (2 - 1 - 3)*(4 - 2*i - 4) + 2 - i - 2)*(-2 - 4 - 13)*(-13*i**2 - 29*i + 29*i) to the form o + n*i + h*i**2 + x*i**3 and give x.\nAnswer: 494","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**4\/7 - 8*r**3\/7 + 12*r**2\/7 + 16*r\/7 - 16\/7.\nAnswer: -4*(r - 1)**2*(r + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -4*k + 4*k + k**2. Let n(m) = -3*m - 5. Let o(y) = -4*y - 6. Let a(i) = 6*n(i) - 5*o(i). Determine a(v(t)).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (76\/57)\/((-4)\/15). Is (4 - s - 3)\/((-2)\/(-323)) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 8 = 2*j + 2, 3*v - 19 = 5*j. Let h be ((-128)\/(-80))\/((-2)\/(-5)) + j. Find the second derivative of 0*d**2 - 22*d**h + 3*d - 50*d wrt d.\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**4\/17 - 58*t**3\/17 + 540*t**2\/17 - 1400*t\/17 - 2000\/17 = 0. What is t?\nAnswer: -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 - 8*l + 1. Let q be x(0). Is q bigger than -2\/867?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -288*a**2*v - 199*a**2 with respect to v.\nAnswer: -288*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 + 0)\/(1470\/(-56)) - (-6)\/21. What is the second biggest value in -3, -1\/5, -4\/5, o?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - dc3?\nAnswer: -dc2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 158724 divided by -2?\nAnswer: -79362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 149*j + 26. Let n(p) = -11*p - 2. Let u(k) = 26*n(k) + 2*z(k). Let f(b) = -563*b. Give f(u(h)).\nAnswer: -6756*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of -x**4\/24 + 2*x**3\/3 + 34*x**2. Let n = -119 + 114. Let i be (-41)\/(-5) - ((-40)\/n)\/40. Give k(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-11) + (-4)\/22. Let o be (-36 + 36)\/(1 - 0). Is o greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572\/(-182) - (-27)\/(-7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -221 + 82 + 101 + 648*z**3 - 651*z**3.\nAnswer: -3*z**3 - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 527982 divided by 263991\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1060917872 a multiple of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z - 79 = -97 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -13*y**5\/3 - 194*y**4\/3 - 151*y**3 + 88*y**2\/3 + 620*y\/3 - 16 = 0.\nAnswer: -12, -2, 1\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -6*w**3 + 30*w + 230. Give b(0).\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/210 + (-312)\/180?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123717795?\nAnswer: 3, 5, 8247853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-20)\/8 - 2\/(-4). Let w = i + 3. What is the nearest to 1 in w, 2, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.95357 - 11.29841.\nAnswer: -7.34484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*z - 9. Suppose 4*i = -9*i. Let b be (i\/3)\/(1 - 5). Sort b, -2, z, 6.\nAnswer: z, -2, b, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/4)*r**5)\/(r\/((r*r**(1\/4))\/r*r)*r**0*r) assuming r is positive.\nAnswer: r**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -0.5, -1, -0.3, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 855 and 9888930?\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**2 - 34*s + 4. Let g be n(17). Solve l = g*l - 3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**1*q**(-18) assuming q is positive.\nAnswer: q**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d - 16 = 34. Let m(s) = 22 - 2*s + 25 - 37. Let q(h) = h - 5. What is d*q(f) - 2*m(f)?\nAnswer: -f + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = 4*w - 4*u - 5 - 57, -9*w + 17 = 4*u for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6, j: 1, f: 5, i: 5, o: 3}. What is prob of picking 1 f and 2 o?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 167*r**3 - 540*r**2 + 147314 wrt r?\nAnswer: 501*r**2 - 1080*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 plus -0.3343093?\nAnswer: -0.3343093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h - 10. Let m = -19 - -27. Let k be v(m). Let p(q) be the third derivative of q**5\/60 + q**4\/12 + q**3\/6 + 2*q**2. Give p(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 66178, 135423, 204668?\n\"Answer: 69245*l - 3067","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**2\/4 + 38372419*y\/2 + 1472442539911561\/4 = 0 for y.\nAnswer: -38372419","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2 + j**2 - 2*j**2 + 2*j**2 + 0. Let d be u(0). Let p(n) = 0*n + d*n - 7*n + 3*n. Let x(v) = -3*v**2. Calculate x(p(i)).\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8\/13 + -27\/65. Let w = -34 + 47. Let g = -16 + w. What is the closest to g in -2, 4, b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 210240204.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express f**3 - 2*f**2 - f + 7*f**3 + f**2 - 5*f**3 as g*f**2 + n*f**3 + p + d*f and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 13 - -5892?\nAnswer: 5905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/(-8))\/(1\/6760). Let x be 0 + (-1 - 5073\/g). Let z = 828\/169 + x. What is the common denominator of -13\/11 and z?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -22, -46, -70?\n\"Answer: -24*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -30*t**2 - 5. Let v(d) = 1. Calculate -p(b) - 5*v(b).\nAnswer: 30*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 2684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (((-36)\/90)\/(8 + (-74)\/10))\/((-310)\/(-15))\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3253*f**3 + 117*f**2 + 143747.\nAnswer: -9759*f**2 + 234*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1154 - -0.11. What is k rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 478, 569, 674, 799, 950?\nAnswer: 1133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 2*c = 2. What is the remainder when (-24)\/(-10) + (-6)\/15 is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18298968 and 826?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9\/2 in -3\/38, -135, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2165 - 2164.7226. What is i rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -b*s**2*y + 3*b*s**2 - 9*b*s*y + 68*s**2*y + 14*s*y - 1 wrt b?\nAnswer: -s**2*y + 3*s**2 - 9*s*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-1))\/(2\/3). Let q(i) = 21*i**2. Let d(z) = -4*z**2. Let n(g) = m*q(g) + 14*d(g). Let l(y) = y**2. Determine l(n(t)).\nAnswer: 49*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + 181*r - 1065. Calculate the remainder when 720 is divided by g(6).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/66 in -0.2, 3.7, 1\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 315*h + 3. Let a(t) = -211*t - 2. Let n(w) = -8*a(w) - 5*s(w). Let b(l) = 3*l**2. Calculate b(n(k)).\nAnswer: 38307*k**2 + 678*k + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 1 (b) -0.1 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002674 rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**2 + 5 - 4 + 863931*h - 863250*h - 1 to the form i + z*h + y*h**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ueeeeeu. Give prob of picking 1 u and 3 e.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -6491079.3*4\nAnswer: -25964317.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-12 - -14)*(21\/2 - -2) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -35542.\nAnswer: -142168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 339524138?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (42\/(-12))\/((15\/6)\/(-5)). Let t be 6 - 1\/(-2)*(-4 + 6). Calculate the highest common factor of t and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-8))\/((-21)\/(-56)*-2).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129.787 times -0.2?\nAnswer: -25.9574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 + 7*c**2 - 4*c - 5. Let t be m(6). Let h(s) = -t - 9*s**3 - 5*s**2 + 4*s + 3*s**3 + 5*s**3. Calculate h(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 4*j - 12 + 12. Let p be v(1). Find q, given that 8\/3 + 4\/3*q**3 - 8\/3*q - 2*q**2 + 2\/3*q**p = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j**3 - 46*j - 55*j - 46*j + 137*j.\nAnswer: -4*j**3 - 10*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 2, 1, -5, -10?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 24*1\/4*-10. Let z = 86 + j. Let n = 76\/3 - z. What is the biggest value in 4, -3, n?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -14, 1 in decreasing order.\nAnswer: 1, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(-1)\/((-20)\/(-570)*-6)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.470385051 rounded to 3 dps?\nAnswer: -0.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -78 + 174. Let k = z - 91. Let m be (-2)\/(-10) + 14\/k. Solve -5*l - 6 = -m*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, -1, 0, -532 in ascending order.\nAnswer: -532, -1, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 14*j**3 + j. Let n be y(1). Suppose -10*z + n*z - 50500 = 0. What is z rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-62 - -117536062)*5\/(-6)*-3. Round v to the nearest 1000000.\nAnswer: 294000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -l + 4*q, 2*l + 17 - 6 = 3*q. Solve 4 = l*j + b, 47*b - 52*b = -5*j + 55 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -9*b - 11. Let t(h) = h. What is -k(c) - 6*t(c)?\nAnswer: 3*c + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 5\/6 (b) 1\/4 (c) -2\/109 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, v: 7, h: 4}. Give prob of picking 2 v and 1 h.\nAnswer: 12\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - -4 - (8 - 3 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 828017 and 14420?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1\/143782?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 19) + 6 - -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g*g*g*g**0*g*g*g*g)\/g)\/g**9)\/(g*g**1)**17 assuming g is positive.\nAnswer: g**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56, -46, -216, -454, -760, -1134, -1576?\nAnswer: -2086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - x + 135, -4*h + 3*x + 55 - 235 = 0. Is 18\/h + (220748\/20 - -1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -4*q - 11. Give t(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -8*x**2 - 92*x + 6479. Give w(-35).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 7*s + 54. Let j = s - 2. Is 4\/j + 103\/4 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4345018*l**2 + 4*l + 9835607 with respect to l.\nAnswer: 8690036*l + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30 - 48 - w**2 + 29 - 26 + w**3 - 3*w to j*w**2 + c + f*w + g*w**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -23*c + 1400. What is n(97)?\nAnswer: -831","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 5*p**3 + 6*p**4 + 0*p**3 + p**2 + 3*p**3 to the form d*p**4 + o + z*p + i*p**3 + q*p**2 and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-4) - (8 + -8). Let u = -4 + 2. Let x be 4\/((u + 1)\/1). What is the closest to 0 in -2\/7, x, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 8*x - 15 - 4*x + 22*x - 6*x - x**2. List the prime factors of u(9).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d. Let f(y) = -y**2 - 11*y + 31. Let c be f(-13). Suppose -104 + c = -3*g. Let p(s) = g*s - 32*s + 25*s. What is p(k(v))?\nAnswer: 52*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -5*d**4 + 22560*d**3 - 135240*d**2 + 270400*d - 180240 = 0.\nAnswer: 2, 4506","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2801 to 3 decimal places.\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 241 divided by 1\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1175.857 + 1175. What is g rounded to one dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/g**(6\/11)))\/(g\/(g*g**(-2\/5))*g)*((g\/g**9)\/g)**0 assuming g is positive.\nAnswer: g**(-47\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 107382256427 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*q**3 + 3*q**3 + 117 - 115 + 166*q**3.\nAnswer: 199*q**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 28*o**2 + 2*o + 4. Let y be f(3). Suppose -5*z + y = 27. Let u be 2\/6 + z\/3. What is the greatest common divisor of u and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 5*v = 5*n + 565, 5*n + v + 1453 = 0. Let k = n + 1691. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55182 is divided by 13405.\nAnswer: 1562","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + 8. Does 15 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/1*-17*(-29)\/(-493)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -25*u + 810. What is the least common multiple of 600 and u?\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/11*x**2 + 0 + 0*x.\nAnswer: -x**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24.8 + 23.8. Let x = -888392\/39865 - 4\/5695. Let i = 1390\/63 + x. Which is the second smallest value? (a) o (b) i (c) -4 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 115 and 180661690?\nAnswer: 180661575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2219450163?\nAnswer: 3, 7, 271, 571, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -5*r - 3*x + 10, -r + x = -9. Solve -r*w - 6 = -w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.41, -3\/7, 3\/4, 8?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -13. Let y be ((-5)\/10)\/(1\/(-4)) - x. Let i(d) = -6*d**2 + d. Give i(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 4319989*s - 12. Let r(p) = -15119961*p + 42. Let i(c) = -18*g(c) - 5*r(c). Let t be i(-2). What is t rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.17407291 to 2 dps.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5, 1, -13, -43, -95, -175?\n\"Answer: -i**3 + i**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 11. Let q = -0.111 + 5.111. Sort -4, q, w.\nAnswer: -4, w, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.8 + -5. Sort q, -2, 4, 0.5 in increasing order.\nAnswer: -2, q, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in six fifths of a microsecond?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 17123*i**4 + 203*i + 2651485 wrt i?\nAnswer: 68492*i**3 + 203","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1193.8 to the nearest 10.\nAnswer: -1190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 PM and 7:43 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u - 4. Let n be z(-3). Suppose -6 = -0*a - a. Suppose a*j - 4*j = n. Solve -3*o - 3*m = -j + 7, 5 = -4*o - m for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13\/2? (a) -0.2 (b) 2\/5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -5, -1012, 2, -3, 7.\nAnswer: -1012, -8, -5, -3, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 246168144 and 20?\nAnswer: 1230840720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/169352 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -7*b + b. Let m(s) = s**3 + 5*s**2 + s + 3. Let c be m(b). Is 334 + (-2)\/4*c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(539)*3 - sqrt(539)) + sqrt(539))\/sqrt(11)*-5)\/(sqrt(28)\/(sqrt(4) - (sqrt(4) - (sqrt(400) - sqrt(400)*3))))*5.\nAnswer: 1500*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 3. Suppose -d*m + 8*m = 17. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 41.55171 tonnes?\nAnswer: 41551710","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.702 + 584.298. Let k = w + -577.66. Round k to zero decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 - (-4 - 248\/2). Let j(f) = m*f - 11 - 5 + 0 - 132*f. Determine j(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11837 and 45462179.\nAnswer: 623","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001502932 rounded to five decimal places?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 19*r - 122 = 0, -72 = -3*p + 5*r - 20 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*u - 21*u + 4 = -4*q, -2*u + 4*q = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 1 = -1. Let w be (-1)\/4 + 363\/44. Let s be (-2)\/w + (-1)\/q. Is s < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4981.14 * -5.3.\nAnswer: 26400.042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.5743044 days to weeks.\nAnswer: 0.7963292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 250190118 and 26978?\nAnswer: 3854","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m - 1. Let f(b) = -24*b + 18. Let s(n) = -f(n) - 18*i(n). Calculate s(1).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c = -6*c + 24. Are -22 and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8468628 to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12121110101 + 11?\nAnswer: -12121110020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of -3*j**2 + 0*j + 1\/10*j**6 + 0 + 0*j**3 + 0*j**4 - 1\/2*j**5 - 1\/175*j**7. Suppose q(i) = 0. What is i?\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -57 + 80. What is the biggest value in -1\/4, k, 3, -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 5. Solve q + j*p = -11, p + 0 = -3*q + 7 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of -o**4\/24 - o**3\/4 - o**2\/2 - 15*o. Let v(r) = 0. Calculate r.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46594723 is divided by 994?\nAnswer: 973","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 8 = -r + 2*h, 3*r + 5*h = 2. Let z be -5*(122\/8 - r\/16). Let f = z - -176. What is f rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a tonne in grams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1879*r**3 - 2*r + 79*r**2 - 47*r**2 - 1883*r**3 - 3892 wrt r?\nAnswer: -12*r**2 + 64*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -53 + 74. Is -2 + 48\/s - 845\/(-7) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -74, -279, -622, -1103, -1722?\n\"Answer: -69*m**2 + 2*m - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 889 is divided by 162?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 1656*h - 24574. What is d(15)?\nAnswer: 266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 (base 4) in base 11?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 135*k - 2898. Let s be h(22). Let x = 340 + -52. Calculate the highest common factor of s and x.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -66*d + 64*d + 35740000. Round d to the nearest 1000000.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26e8 (base 16) to base 2.\nAnswer: -10011011101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -686 + 685. Let r = 78 + -232\/3. What is the third smallest value in s, r, -3\/7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -21279700 less than or equal to -21279701?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15017\/3, 0.451, -0.3 in descending order.\nAnswer: 0.451, -0.3, -15017\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 30507901200 to the nearest 1000000.\nAnswer: 30508000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 673299, 1346620, 2019943, 2693268, 3366595, 4039924, 4713255?\nAnswer: 5386588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26 + -24. Suppose j + j + y*t = 12, t = 4*j - 19. What is the third derivative of -5*f**2 - 3*f**4 + 0 + 0 - j*f**2 wrt f?\nAnswer: -72*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/3 (b) -1\/4 (c) 147\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/210430 and 101\/550.\nAnswer: 1052150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.06 from -340021208309.\nAnswer: -340021208308.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -2\/11 (b) -25 (c) -47\/3 (d) 3 (e) -81 (f) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - (-2 + 5)) + -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -16*m. Let y be i(-2). What is the greatest common divisor of y and 288?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 30 and 2\/11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -4, -x + 25 - 34 = -k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27.1 + -29. Let v = m + 1. Let o = v - -0.6. What is the biggest value in o, -0.5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 640996 < 640996?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 5, 4981, 3, 4, -3, -5 in descending order.\nAnswer: 4981, 6, 5, 4, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87997263?\nAnswer: 3, 4673, 6277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/1 - (-128)\/32. Suppose r*c = -5 + 13. Does 4 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26682?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*d**4 + 139*d**3*k**3 + 387*d**3*k**2 - 4677*d**2*k + d**2 + d*k**3 + k**3 + 308*k wrt d?\nAnswer: -144*d + 834*k**3 + 2322*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 211*t - 6833 = 2240. Solve 0 = -25*y - t - 32 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 19 = -2*m + 1, 0 = -m + 8*v + 40 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1202, 2467, 3310, 3521, 2890, 1207, -1738, -6155?\n\"Answer: -35*p**3 - p**2 + 1513*p - 275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2\/3 (b) 2 (c) -0.3 (d) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -15*v + 2. Let y(o) = -14*o + 2. Let d(a) = -2*g(a) + 3*y(a). Does 29 divide d(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/4493483 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -0.7, 0.4, 16, -5, 0.6?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 3*i - 34, -d - 35 = -3*i - 19. What is the lowest common multiple of 18 and (-54)\/d*(-1640)\/(-123)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 + 10*z**2 + 10*z + 12. Let g be a(11). Let i(s) = 20*s**2 - 1. Calculate i(g).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -0.091011\nAnswer: 0.0364044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -124. Let o = 126 + v. Suppose -o = -4*m + k, -2*m = -3*m - 4*k - 15. Solve h - z = -m, -h + 0*z + 5 = 2*z for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 15*v**2 - v - 1. Suppose -r + 6 = -0*r. Suppose -2 + r = -4*i. Give s(i).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2000 and 17123230?\nAnswer: 3424646000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -3*s**4 + s**2 + 5*s. Let i(t) = 5*t**4 - t**2 - 8*t. Let y(w) = -8*h(w) - 5*i(w). Find the third derivative of y(a) wrt a.\nAnswer: -24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18\/27 - (1 - (-1034)\/(-6)). Does 30 divide 4\/(-18) - j\/(-36)*44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/3500 and -7\/135000.\nAnswer: 945000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 4, -1, -4\/9, -2\/7 in increasing order.\nAnswer: -22, -1, -4\/9, -2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 204, 620, 1036?\nAnswer: 1452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160853721.\nAnswer: 3, 7, 131, 8353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 281 is divided by 47.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, u: 3, w: 1}. What is prob of picking 1 g and 1 u?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 - 7*h - 7. Let o be d(-5). Let b(k) = -o*k + 3*k**2 - 5 + 4 - 4 - 3*k. List the prime factors of b(-3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 10*r**2 - 2*r + 1. Let m be 4\/18*-3*-3. Let v be 5\/m*-1*4. Is y(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36 - 2 - 2*b + 21)*(8 - 32 - 10).\nAnswer: 68*b - 1870","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2878 divided by -2878?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/5*483\/46 - -9. Does r = 7\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2cdee + -1fe?\nAnswer: -2cfec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -276 - -284. Let x(o) = o**3 - 11*o**2 + 19*o + 42. Calculate the smallest common multiple of 2 and x(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 + 6. Let j be ((-6)\/4)\/(h\/(-64)). Let n be (j\/(-6))\/((-2)\/(-3)). Is 4 less than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + k - 2*k)*(-2*k - 6*k - 6*k - 2)*(k**2 + k**2 - 3*k**2).\nAnswer: -14*k**4 - 2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1177 < 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + -1 + (-2 - -4) + 967 + -947.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + 143?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1876, -4808, -7740, -10672, -13604?\n\"Answer: -2932*l + 1056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/3*728160\/7585?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a litre in millilitres?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 10 = -2*k - o, 2*o - 10 = -4*k. Let j(v) = -89 + 2*v - 21 - k*v - v**2. Let w be j(0). What is w rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 o when two letters picked without replacement from {o: 1, a: 1, c: 2, g: 3}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3286, 3608, 4086, 4720, 5510, 6456, 7558?\nAnswer: 8816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1100 = -442*w + 176*w + 216*w for w.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*i + 0 - i - 24*i - 1 to the form t*i + n and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-1) + 98 + -104?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -3, -x - 2*v + 24 = -48. What is the greatest common divisor of x and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21 or -81?\nAnswer: -81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 5.722725 grams?\nAnswer: 0.000005722725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 331408430 is divided by 1791?\nAnswer: 1790","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/5 + (-2)\/(-5). Suppose -6 + q = -d. 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: Let s = -77 - -80. Find the third derivative of 12*m**2 + 6*m**2 + 9*m**4 - s*m**2 + 6*m**4 wrt m.\nAnswer: 360*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - -28?\nAnswer: 2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 571933 is divided by 71023.\nAnswer: 3749","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9235021 is divided by 7388.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/12 + 2\/(-3). Let f = -4 + v. Let b = -3 - f. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 - -70)\/((-2)\/(-2)). Let c = -32 - -36. Suppose 0 = -c*o + 310 - j. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -10*s - 193. Suppose -i - 4*p + 9 = -2*p, -18 = -4*i + p. Calculate the lowest common multiple of j(-20) and (2 + i\/(-2))*-70.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*v + 20*v - 8*v.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 479, 997, 1517, 2039, 2563?\nAnswer: 3089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55187840 divided by -16960.\nAnswer: -3254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 6*(-5*(-1 + sqrt(1539) + -3) + -4 + sqrt(1539) + (sqrt(1539) + 3)*-6 + sqrt(1539)))**2.\nAnswer: 10692*sqrt(19) + 4487845","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -r**4 - r**4 + 14*r**3 + 2 - 3*r**2 - 4*r - 12*r**3 - 4*r**3 - 15*r as v*r**2 + q + m*r**3 + f*r**4 + p*r and give p.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-5) + 14\/5 + 2. Suppose -f = -3*g + 1726, 2*g - c*f = 3*g - 586. Suppose 3*u = 9*u - g. 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(j) = -j + 99. What is the tens digit of n(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*m - 3*m + m)*(0 - 16 - 2) - 6*m + m + 24*m + m - m + m + (1 + 3 - 2)*(4*m - 4*m - m) - 2*m + 2 - 2 - m - 3*m + 3*m - m + 2*m + 0*m - 3*m + 6*m - 2*m.\nAnswer: -55*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -4*k**2 + 4*k + 7. Let j(c) = 7*c**2 + 8*c + 2. Let p(d) = -6*d**2 - 6*d - 1. Let y(i) = -4*j(i) - 5*p(i). Determine -4*v(l) - 9*y(l).\nAnswer: -2*l**2 + 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61192 = 14*i - 115040. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.064916*-17\nAnswer: 1.103572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30 + 4 + 9)*(-12*g + 10*g - 31*g) - 4*g + 3*g - 3*g.\nAnswer: 557*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 - -4*(-2 - -4). Suppose b + 3*z - 24 = 0, -b - 49 = -3*b - r*z. Is b a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6702, -6699, -6690, -6675?\nAnswer: -6654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-35)\/(-1)*(-3)\/(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 145 + -87. List the prime factors of h.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5919334\/5 + -1170874. Let m = 13126 - l. Which is greater: m or 132?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6938 + 9787. Let h = -1445 + j. What is the thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 + 18 - 35)*(3*t - 3*t - t + (-4*t + t + 5*t)*(1 + 2 - 2)).\nAnswer: -36*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4760812*b - 4760806*b + 9521620*b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-8)\/6)\/(8\/(-1332)).\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3399, -3, 0.587?\nAnswer: 0.587","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.01 + 0.29. Put -2\/11, 2\/49, m in ascending order.\nAnswer: -2\/11, 2\/49, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (j**2 + 1 + 59*j + 5 - 92*j)*(2*j**2 - 4 + 4) to g*j**2 + w*j**4 + q*j**3 + x + a*j and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 4*f**2 - 9*f + 75. Determine b(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1265945?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36041 + 35987. Sort 0.3, -2, 2, u in descending order.\nAnswer: 2, 0.3, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -10*r**2. Give i(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 1962*u - 7185. Let p be j(6). Round p to the nearest 100.\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42432 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 129714025 to the power of 1\/3, to the nearest integer?\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 541194902?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -29*t + 159501639. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11.84 * 0.211718.\nAnswer: -2.50674112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 PM and 6:38 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + 80*h - 2364. Let j be v(-103). Let d(k) be the second derivative of 0 + j*k + 4*k**2 + 7\/3*k**3. What is the derivative of d(t) wrt t?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 545147 is divided by 181695?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 62582754 by 4234.\nAnswer: 14781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 3*v**2 + 53*v - 270. Let k be u(5). Solve k*w + 413 = -14*w for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 962?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 27*j + 9 + 12*j.\nAnswer: -15*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-16)\/(-2))\/(2\/(-6)). Let b = x + 35. Suppose -13*w = -66 - 12. What is the remainder when b is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*a - 113*a = -2. Calculate the least common multiple of a and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 5. Suppose -5*d = r, 2*p - 2*d - 2*d - 4 = 0. Suppose -p*z = -4*z + 178. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -5*x**2 + 22*x + 18. Let h(i) = 5*i**2 - 3*i**2 - 3*i - 6 - 4*i. Let q(l) = -3*a(l) - 8*h(l). Let s be q(-9). Solve -6*u = -s*u - 9 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 951 is divided by 30.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68 - 17*o**2 - 14*o**2 - 20*o**2 + 88*o**2 - 12*o**2 - 22*o**2.\nAnswer: 3*o**2 + 68","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 20*n**2 - 2*n - 2. Let c be q(-2). Let g = c - 8. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -6*w**3 + 136*w**2 + 8280. Let h(i) = -i**3 + 24*i**2 + 1380. Give 34*h(p) - 6*n(p).\nAnswer: 2*p**3 - 2760","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -9656d0 (base 14) to base 9\nAnswer: -10511600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 * -140\nAnswer: 1.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 61, 2, 1, -5 in increasing order.\nAnswer: -5, 1, 2, 5, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -62461530.82 and 6376.\nAnswer: -62455154.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -174 - 3?\nAnswer: -177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1869606.36us?\nAnswer: 0.0000216389625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 12839\/6, -4, 2\/3?\nAnswer: 12839\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 293*d**2 + 27*d - 73. Is o(25) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, -2, -350, -824 in decreasing order.\nAnswer: 5, 3, -2, -350, -824","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 24622669 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n - 5*n + 2*n)*(2 + 0 - 1)*(2 + 1 - 4).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 140\/13897421 or 0?\nAnswer: 140\/13897421","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4400 + -569. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2794 and 13552?\nAnswer: 37864288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2213607.2 and -0.01.\nAnswer: -22136.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - -1001121001111?\nAnswer: 1001121001022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 3*q, m - 5*q - 11 = 4*m. Let a(y) be the first derivative of 1 + 2\/15*y**m - 1\/10*y**4 + 1\/5*y**2 - 2\/5*y. Factor a(c).\nAnswer: -2*(c - 1)**2*(c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/18*-1*(-157)\/(166106\/552).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-186)\/(-403) - (-192)\/(-78))*485\/10\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 980967738 a multiple of 119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-64)\/24*4\/(-16)*1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -40, -88, -252, -592, -1168, -2040?\n\"Answer: -10*j**3 + 2*j**2 + 16*j - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gpbppgpppppgppb. Give prob of picking 2 p and 1 b.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3264 divided by 6?\nAnswer: 544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**5 - 394*k**4 - 2045*k**3 - 3674*k**2 - 2524*k - 504 = 0 for k.\nAnswer: -126, -2, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72783035.\nAnswer: 5, 13, 17, 65867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1534*a + 265 = 36144 + 9331 - 2258 for a.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (sqrt(320) + -1 - sqrt(320)) + sqrt(320) + -5*(1 + sqrt(320)) - -6*5*sqrt(320)*1) + -5)**2.\nAnswer: -4576*sqrt(5) + 216441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 75749902?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a millennium in months?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 AM and 5:40 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -8*n - 7. Suppose 6 = -4*f - 10. Let q(w) = -9*w - 8. Let z(p) = f*q(p) + 5*h(p). Let k(t) = -t - 1. Suppose -19 = 6*x - 13. What is x*z(v) + 3*k(v)?\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 - 16\/28*21\/2. Let o = -3.353 - -0.053. Let q = -3 - o. Which is the second smallest value? (a) d (b) q (c) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.19 in -0.1, -0.06803474, -0.2?\nAnswer: -0.06803474","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 638397416?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 897\/104*4\/6. Is u at least 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 8, -10, 1, 16 in ascending order.\nAnswer: -10, -4, 1, 8, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmbbmm. Give prob of picking 3 m.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 463581 divided by 463581\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/126)\/((-14)\/3). Let k = -71151 - -71151. Which is greater: k or d?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8\/16425 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (192 - 17*w - 192 + (-5*w + 3*w + 0*w)*(2 - 1 + 0) + w - w - 2*w)*(2*w**2 - w + 9*w + 3*w).\nAnswer: -42*w**3 - 231*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -6*a + 3*m - 8, a - 5*m + 18 = 0. Let v = 36 + -35. Suppose 7 + v = a*n. Solve -r = n*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 18 = q, -q - 4*y + 4 = -3*q. Let r(c) = 25*c**2 - c + 1. Let k be r(1). Let d = k + q. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11622*a**3*f - 994*a**3 - 4*a wrt f?\nAnswer: -11622*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -8 - 11 - 32 + 26 + 7*d**2. Let f(s) = -8*s**2 + 24. Let l(j) = -4*f(j) - 5*z(j). Differentiate l(r) wrt r.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of j**5\/10 - j**4\/6 - j**3\/3 + 3*j**2\/2 - 9*j. Let w be q(1). Let z = -32\/13 + 34\/13. Sort -4, z, w.\nAnswer: -4, z, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2244613367 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3644, 14663, 33064, 58877, 92132, 132859, 181088?\nAnswer: 236849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2589368768354 plus 0.37?\nAnswer: 2589368768354.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(152)*4 + sqrt(152)))\/((-5*sqrt(16))\/sqrt(2)))**2.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 49 = -5*p - 4*q, q = p + 17. Sort 0.4, p, -3\/7.\nAnswer: p, -3\/7, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188785003 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 1:15 AM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1845)\/820 + (-9)\/(-2). Factor -9\/4*l**2 - r*l - 3\/4*l**3 - 3\/4.\nAnswer: -3*(l + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*s + 13*s + 20. Solve -21 = -s*a - 3*o, a - 5*o - 2 = -3*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 7*d + 10 = 0. Let h(s) = d*s + 0 - s + 0. Let w(a) = -a**2 + a + 1. Give -h(u) - w(u).\nAnswer: u**2 - 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*b + 28 + 15*b + 1353 + 19*b in the form v*b + u and give u.\nAnswer: 1381","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83208636 is divided by 254.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = j, -3*j - a = -3*a. Suppose w - p = p - 21, 4*w - p + 56 = j. Is w greater than or equal to -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 528 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 21*m. Let w(c) = 3*c - 12. Let t be w(-2). Let l be (-8)\/(-3) - 2*3\/t. Let b(r) = -8*r**2 + 10*r**2 + l*r - 3*r. Give b(i(d)).\nAnswer: 882*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.1 - -0.4. Let n = -2974769.46999961 - -2974766.97. Let s = z + n. What is s rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 935497 to the nearest integer?\nAnswer: 967","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -28 (b) 2\/47 (c) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19459116 by 6.\nAnswer: -3243186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -8*y - 2. Let w be p(-4). Suppose -7*o + 2*o = -w. What is the greatest common factor of 6 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7\/50 - 151\/350. Let z(p) = -p**3 - 9*p**2 - p - 9. Let o be z(-9). Let t = -148.2 + 148.6. Which is the nearest to o? (a) t (b) -3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 + 5*w**2 + 8*w - 8. Let i be d(6). Suppose i*s = s + 1650. Round s to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.81 + -115123.851?\nAnswer: -115127.661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 520\/(-936) - 26\/(-36)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 4*s**2 - 1. Let q be c(-1). Let m(j) = -j + 21. Let t be m(15). Let i be (-6)\/15*(-45)\/t. Solve i*a - q = -12 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 - 3*c + 3. Let b be q(3). Suppose -5*i = 2*w - 29, b*i - 16 = -3*w + i. Suppose 2*n = -n - x + 12, -w*n + 8 = -5*x. Is 2 less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 837075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + 7)*(-42)\/(-70). Let g(y) = 73*y + 7. Let n be g(7). Suppose 0 = -t*o + 5*o - n. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4196773 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + 600?\nAnswer: 600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*s**3 + 345*s**2 - 687*s**2 - 99 + s + 342*s**2 - 2*s.\nAnswer: 11*s**3 - s - 99","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2be (base 16) to base 11\nAnswer: 589","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 - f + 1. Let v(d) be the first derivative of -4*d**3\/3 + 5*d**2\/2 - 5*d - 144. Let o(a) = -5*k(a) - v(a). Let t(g) = 11*g. Give o(t(c)).\nAnswer: -121*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4*1 - (-2 + 1). Suppose 3*l = -u*g + 46 + 79, -3*l + g = -101. Does 16 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (-1 - 1)) + -3 - 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c*s*u**2 - 230*c*s*u - 278*c*s + 9*c*u**2 - 43*s*u**2 - 3*s*u - 13*u**2 wrt u?\nAnswer: 2*c*s + 18*c - 86*s - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 264 + -126. Let u = -17 - -58. Let p = b + u. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/(-1) + 1)*3. Let s(g) = -g + 6. Let f be s(y). Suppose f*q = 5*q - 15. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-5 + sqrt(364)\/(1*sqrt(7)) - sqrt(416)\/(sqrt(512)*-2)) + 2)**2*1.\nAnswer: -4333\/16 + 51*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/7*(-14)\/10.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, p: 2, e: 1, h: 1}. Give prob of picking 1 e and 1 s.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-28))\/((-103)\/824)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 5*y**2 + 3*y - 1. Suppose 0 = 2*d + 7 - 19. What is i(d)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of 3*u**3 - 5. Let d(l) be the second derivative of 0*l**3 - 1\/12*l**4 + 0*l**2 - 3*l + 0. What is d(x(i))?\nAnswer: -81*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/32*((-104)\/(-12) - 6). What is the nearest to l in -27, -0.2, -3, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 4*q**5 + 9096*q**4 + 3411408*q**3 - 4465922720*q**2 - 2781329244288*q = 0.\nAnswer: -994, 0, 708","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Factor -x**4 + 71728640*x**3 - 71728639*x**2.\nAnswer: -x**2*(x - 71728639)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 2. Let k = s - 1. Let g = k - -1. Which is the closest to -0.1? (a) g (b) -0.4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9)\/15*(-20)\/718. Let z = -707\/20822 + m. Let r = z + -109\/406. Which is the closest to r? (a) -5 (b) 0.1 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 8*n + 160. Let z be w(-20). Sort z, -5, -28, 5.\nAnswer: -28, -5, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 + 2*s)*(-2*s + 0*s + s) + (-3*s + 4*s - 5*s)*(-5*s + s + 12*s) to x*s + z*s**2 + r and give z.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 845, 873, 901?\n\"Answer: 28*i + 817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o**(2\/9)))\/(o*o*o\/(o*(o\/(o*o*o**(-3\/4)*o))\/o*o)) assuming o is positive.\nAnswer: o**(-125\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -1031*i - 79371. Determine g(-77).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6709*c*n**2 + 2*c*n + 5460*n**4 + 8035398*n + 10 wrt n?\nAnswer: -13418*c + 65520*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 124? (a) 0.1 (b) -8\/279 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -215, 5, 4, 22, -4 in decreasing order.\nAnswer: 22, 5, 4, -4, -12, -215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w. Suppose i + 3*c + 11 = 0, 0 = c + 4*c + 15. Let j be ((-1)\/i)\/(4\/16). Let v(l) = 3*l**2 - 3*l**2 - l**2 + 2*l**j. Give v(d(y)).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 + 21. Suppose 109 = 5*i - x + v*x, -42 = -2*i - 2*x. What are the prime factors of i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2))**38*j**(-5)\/j*j**0*((j**2*j)\/(j**(1\/8)*j*j))**(-40) assuming j is positive.\nAnswer: j**(-117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*w - 257274 + 257274.\nAnswer: -15*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 86157246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -3*b**2 + 3*b + 59. Let p(d) = d**2 - d - 20. Let o(n) = 11*p(n) + 4*u(n). Determine o(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 1) + -8 + (23 - 16)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25355809, -25355807, -25355807, -25355809, -25355813?\nAnswer: -25355819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 5*h**3 + 9*h**2 + 6*h - 26. Let x(g) = -g**3. Let d(l) = i(l) + 6*x(l). What is the remainder when 138 is divided by d(9)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*14*2*(-135)\/2430.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 42 + -36.1. Let g = -4.74 + j. Let v = g + 0. What is v rounded to 1 dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121869.2 rounded to the nearest one hundred?\nAnswer: 121900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 + -19. Suppose 5*t - 3*o - 18 + l = 0, -t + 5*o + 12 = 0. Suppose -t*x + 2 = -10. Solve -2*w - x = -5*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -1 + -3 - -33 - (-46 - -54)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 942419 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mzmmtztzmzm. What is prob of sequence zmzm?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -5860*t**3 - 4*t**2 + 16*t + 2. Let g(s) = -60070861*s**3 - 41006*s**2 + 164024*s + 20503. What is -4*g(d) + 41006*j(d)?\nAnswer: -11716*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 4*z. Let a(f) = -25*f**2 - 1. What is u(a(w))?\nAnswer: -100*w**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 244853473 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-39 - -118) - 9?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.4 - 5. Let q = 2 + -3. Which is greater: i or q?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*b + 7 - 126 = 0 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 8*o**2 - 8*o - 3. Let x be (7\/4)\/(1\/(-4)). Let n be a(x). Let f(u) = u**3 - 5*u**2 + 6*u - 4. Let r be f(n). Sort 2, r, 1.\nAnswer: 1, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3113859.6 seconds in hours?\nAnswer: 864.961","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2490942?\nAnswer: 2, 3, 17, 24421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*y - y. Suppose 185 = y*i - 40. Suppose 0 = d - 2*d + 12. What is the remainder when i is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -6.93. Let n = 0.27 + p. Let i = n + 0. Which is the closest to 0.1? (a) i (b) 2\/7 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 13*o - 14 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 111200110101101 (base 3) in base 2?\nAnswer: 11011101111011001110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**5 - 360*a**4 - 18337*a**3 - 316712*a**2 - 2277888*a - 5834752 = 0. Calculate a.\nAnswer: -16, -8, -7, 407","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3399\/(-9)*(-71 + 62)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 3*n - 1. Let q be c(1). Let a(i) = -2*i**2 - 274 + 139 + 0*i + 4*i + 136. Let p be a(q). Do 3\/7 and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -208065.2999995 - -208066. Let o = 0.339 - -0.361. Let v = k - o. Round v to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64674.38 grams in tonnes?\nAnswer: 0.06467438","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2\/5 - 1818513024*j\/5 + 275582468204802048\/5.\nAnswer: 3*(j - 303085504)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -51.9823 and 0.\nAnswer: -51.9823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 - d - 5. Suppose h = 4*w - 18, 6*h + 20 = 3*w + 2*h. Give z(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184 = 5*w + 4*s, 4*w = -2*s + 147 + 5. Let j = 40 - w. Suppose j*b - 7*b = -875. Is 32 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from dqqsddddss?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 10*l**2 - 10*l + 3. Let a(f) = -7*f. Let w(p) = -11*p. Let h(q) = -8*a(q) + 5*w(q). Let r(m) = 5*h(m) + s(m). What is the units digit of r(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 3*v**2 - 19*v - 1. Let i be m(-6). Solve 0 = i*j - b + 4*b + 35, j - 21 = 5*b for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6566\/43 - -49447\/559. Let w = -241 + x. Let o = -473 - -472.5. Which is the nearest to 1\/4? (a) 5 (b) w (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-39)\/(-9) + 11\/(22\/(-10))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 15. Let s = z + -7. Let r(q) = -4*q**3 + 32*q**2 - 98*q + 784. Let x be r(8). Solve x*w - w + s = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 522 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2913 + 2937. What is the least common multiple of v and (128\/(-24))\/((-1)\/12)?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-1) - (8 + -4). Let t be (2 + -2)\/(6\/g). Suppose -3*i + 0*i + 27 = t. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-5)*m**(-6\/5)*m*(m**(-1\/4))**47)\/((m*m**(2\/5))**(-19\/4)\/(m**(-1))**26) assuming m is positive.\nAnswer: m**(-363\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/1742112 and -7\/7101.\nAnswer: 5226336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 275889?\nAnswer: -1\/275889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -5878 (base 9) to base 13\nAnswer: -1ca9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of n**5\/20 + 5*n**3\/6 - 5*n**2\/2 + 2. Let y(v) be the second derivative of g(v). Differentiate y(j) with respect to j.\nAnswer: 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -4*g**2 + 2189*g + 65. Determine d(0).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.004968 * -3.96\nAnswer: -0.01967328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 230170 + -61?\nAnswer: 230109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 4091 divide 187675156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -56 - -62. Solve q - t*q - 20 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/2 + 0 - -3. Suppose f + y = 8. Solve -4*r + 0 = -f for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31461 - 271*l - 31458 + 2295*l.\nAnswer: 2024*l + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 7*p + 118. What is m(-18)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18 (base 10) to base 4.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven sevenths of a week in minutes?\nAnswer: 15840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -32893847 to the nearest 1000000.\nAnswer: -33000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -141 + 135. What are the prime factors of (w\/2 - -109)*(-1)\/(-2)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3242413 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + 22*r - 19. Let z be x(-24). Put -4\/3, -1, z, 5 in decreasing order.\nAnswer: z, 5, -1, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15575 * -2119\nAnswer: 33003425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -4*i**2 + 304*i - 5292 = 0.\nAnswer: 27, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -4 + 4 + 3*h**2 + 9 - 4*h - 4*h**2. Let t be l(-5). Suppose t - 13 = -3*k. What is the least common multiple of k and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1848739, -3697650, -5546547, -7395424, -9244275, -11093094, -12941875, -14790612?\n\"Answer: k**3 + k**2 - 1848921*k + 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98276.1 microseconds to nanoseconds.\nAnswer: 98276100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7212151*j - 1 - 9227622*j - 5820636*j.\nAnswer: -22260409*j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3058951586?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (71199\/(-4395))\/(54\/(-75))\nAnswer: 45\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -65021*c**3*k + 2380*c**2 + 9*c*k - k + 121358 wrt c.\nAnswer: -390126*c*k + 4760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 79281?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -163647, -654562, -1472753, -2618220?\n\"Answer: -163638*o**2 - o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 75063510 to the nearest 1000.\nAnswer: 75064000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 712.2401t in micrograms?\nAnswer: 712240100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*d**3 + 29837*d**2*s**3 + 18073*s**3 + s**2 with respect to d.\nAnswer: -6*d**2 + 59674*d*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 - 1)*((2 + i - 2)*(3 - 4 + 3) + 3*i - 4*i + 5*i + 60*i + 17 + 2 - 63*i).\nAnswer: -9*i - 57","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xdddxnxzmmdxm. Give prob of picking 2 m.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-72 + (-6)\/(-3))*(14 - 10). Let w be (n\/63)\/(-10) - 1244\/(-36). Solve 4*p - 27 = -w for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1652788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 31220 and 13120.\nAnswer: 20480320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-306)\/(-7) + (1 - 10\/14). Let p = m - 28. What is the highest common factor of 2 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 4*d - 2 + d as n + f*d and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 2 = 2*b + j, j + 3 = -3*b. Let u(r) = -r**2 - 4*r - 2. Let o(k) = k - 1. Let y be 3*(-4 - (-36)\/27)\/2. Calculate b*u(a) + y*o(a).\nAnswer: a**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 22 = 38 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000137668 rounded to 7 dps?\nAnswer: 0.0000138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 25*c**2 - 17*c**2 - 3*c - 11*c**2. Let m(j) = -3*j**2 - 2*j. Give 3*m(k) - 2*z(k).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1392 is divided by 55.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 58241*z**4 + 51*z**2 - 1852217*z - 1.\nAnswer: 698892*z**2 + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 94 divided by -11988044\nAnswer: -47\/5994022","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1408 + 172 = -2*u. What are the prime factors of u?\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-5 + (-17835)\/(-3630))*(2 + 1) and -53\/10.\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in eleven quarters of a millisecond?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + 8*c**2 - c - 7. Suppose -4*l + 40 = -9*l. Let b be w(l). Which is greater: 0 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 7*q**2 + 62*q - 14. Let d be u(12). Suppose -d*z + 198509 = 7*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 4*s**3 - 2*s**3 - 2 + 4 - s. Is 12 a factor of n(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, e: 2, n: 2}. Give prob of sequence wwnn.\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158 - 15*g**3 + 158.\nAnswer: -15*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19252217.\nAnswer: 73, 263729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/3)\/(-45)*20\/32*6?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44875, 89935, 135077, 180307, 225631, 271055, 316585, 362227?\nAnswer: 407987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) + (sqrt(104)*2 - sqrt(104))*-4)\/(sqrt(32)\/(sqrt(20)\/sqrt(5))) + -6*(sqrt(13) + 2*sqrt(13)) + 0 + 1*sqrt(13) + -5.\nAnswer: -20*sqrt(13) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = g - 0*u - 4846, 5*g - 24170 = -5*u. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {c: 4, a: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(1\/7)*n*n)\/n)\/n)**(1\/3)*n\/(n\/(n*n\/n**(3\/11)))*n*n*n**(-8)*n assuming n is positive.\nAnswer: n**(-668\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 407*j - 709*j + 359*j)*(2 - 1 + 1) as p + v*j and give v.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38613*u + 20628 = 38040*u for u.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -99, -27, -2, -4, 8.\nAnswer: -99, -27, -4, -2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -84, 0.034, -2\/9, 34, 4, -3\/5 in increasing order.\nAnswer: -84, -3\/5, -2\/9, 0.034, 4, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*o**3 + o**3 + 104085 - 104085 + 0*o**3.\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 4*r = 3, 15 = -28*r + 33*r. Solve 5 = 5*f - 0, -u + 4*f = b for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.07 - 0.83. Let k = p - -1. Let r = k - -0.3. What is the smallest value in 1\/5, -1\/8, r?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1330 (base 5) in base 16?\nAnswer: -d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a century in months?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.089 - 3.089. Let s = 0.401 - 0.101. What is the nearest to -1.1 in s, g, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*g + 16*g**5 - 2*g**5 - 8*g**5 wrt g?\nAnswer: 120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.105 + 0.2906. Let m = 0.2 + -0.02. Let u = m - j. What is u rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-18 + 6)\/((-6)\/8). Let x(y) = -y**2 + 16*y + 20. List the prime factors of x(m).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 33 - 31. What is the highest common factor of 5 and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - 11427?\nAnswer: -11431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 4. Let d(m) = 92*m**2 - 7*m - 84. Let t be d(-6). Suppose a = -9*z + 6*z + t. Round z to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/23)\/(r\/(r**41*r)))**(1\/57) assuming r is positive.\nAnswer: r**(315\/437)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -7 (b) 2 (c) 0.40886\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence djt when three letters picked without replacement from gdpgqjggptgpdggdddgj?\nAnswer: 1\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 60367882 to the power of 1\/3, to the nearest integer?\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1475\/(-1534) - (-8)\/(-208)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 10*f - 244. What is p(22)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + z**2 + 2*z. Let h be d(0). Solve 5*l + 4*y - 20 = 0, h = -5*l - 2*y + 8 + 2 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 92405 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -209378872, -209378870, -209378868, -209378866, -209378864, -209378862?\nAnswer: -209378860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1097153?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/36 and -23\/17850?\nAnswer: 107100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(154)\/(sqrt(11) - sqrt(176)))\/((sqrt(72)*2)\/sqrt(9)).\nAnswer: sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 20\/9 (b) -3\/7 (c) 4 (d) -2.4 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**(-7))\/h)\/h)\/(h*h**(5\/4)) assuming h is positive.\nAnswer: h**(15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -35 < -54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - v - 8 = 8*i, -2*i + 4*v - 12 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 29, 2, -2.\nAnswer: -2, -1, 1, 2, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4020527 + 2599243. Let i = f + 961284. What is i rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 215.\nAnswer: -645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s**3 - 19*s**2 - 6*s + 26. Determine r(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -100010101011100001?\nAnswer: -100010101011100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*b + 6*b - 168. Suppose -44 + 6 = -2*a. Let x = b - a. Let t(q) = 9*q - 7. Let l(w) = 4*w - 3. Calculate x*l(k) + 3*t(k).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1818 and 3232?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/3 (b) -36\/11 (c) -0.4 (d) 1\/4 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, w: 2, m: 4, k: 1, j: 3}. What is prob of sequence wwjb?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.587 to the nearest integer.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 162 * -392370\nAnswer: -63563940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 24804092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6847353.\nAnswer: 3, 19, 23, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86062494 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 12*g - 39. Find the second derivative of 4*k + 4*k**g + 5*k**4 + 18*k**5 - 8*k**5 - 19*k**5 + 9 wrt k.\nAnswer: -180*k**3 + 108*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 2\/5 (b) -566232 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -3*p**2 - 89*p**3 + 92*p**3 + 706*p + 5 - 708*p. Let o(y) = -y**3 + y**2. Give i(r) + 4*o(r).\nAnswer: -r**3 + r**2 - 2*r + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 0 + (-200)\/63 - (-11 + 6900\/621) and -58\/343?\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 27*g**2 + 35*g + 1. Let m be q(1). Let w(d) = -d**3 - d**2 - d + 1. Let u be w(-2). Calculate the highest common divisor of m and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -4*h + 2. Suppose 4*n - 20 = -n. Suppose -5*c - n*f = -3, 4*f - 7 = 5*c - 34. Let o(u) = 5*u - 3. Determine c*o(r) + 4*s(r).\nAnswer: -r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3925.\nAnswer: 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 220 + 82*v**2 + 20*v - 19 - 30*v.\nAnswer: 82*v**2 - 10*v + 201","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -5750008*f - 32. Let k be l(-4). What is k rounded to the nearest 1000000?\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of r**5\/20 + r**4\/2 + 5*r**3\/6 - 7*r**2\/2 + 3*r. Let h be (-32)\/(-14) + (-6)\/21. Suppose 0 = -3*v + h*v - 5. Give u(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -19 (b) -2 (c) -422 (d) 21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 + -174 + -4 + (75 - -3 - (0 + 2))?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 119499590, 119499586, 119499580, 119499572, 119499562?\n\"Answer: -w**2 - w + 119499592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h + 3. Suppose -4*w = -0*w + 28. Let f be k(w). Calculate the remainder when (0 - -1)\/f*-8 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y**3 - 4*y**3 - 2789680*y**2 - 2982364*y**2 + 1294811*y**2.\nAnswer: -y**3 - 4477233*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i - 1. Let j(u) = -2*u + 12. Let v(z) = -j(z) - 6*m(z). Suppose -2*q - 4*o = q - 17, 0 = -4*o - 16. Suppose -8*s = 21 + q. Give v(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = l + l. Let z be (-2)\/2 + 10 - -2. Let c = z + l. What is the remainder when 9 is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -340618*i + 10147 = -340757*i for i.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15923 + -15911. Suppose 4*q = -0*q + 60. What is the lowest common multiple of t and q?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 3, -3, 1, 0.6 in descending order.\nAnswer: 3, 1, 0.6, 0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 144853026?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2295*b - 15 = 5*a + 2291*b, 0 = a + 2*b + 3 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/9*y - 4\/3*y**2 + 2\/9*y**3 + 4\/3.\nAnswer: 2*(y - 6)*(y - 1)*(y + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 + -11. Let r = -11 + 27. Let j be 6\/(-21) + r\/154. Put t, j, -0.2 in descending order.\nAnswer: t, j, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.7 - 0.3. What is the nearest to r in -0.12, 2\/9, 1?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 22*w - 6 + 16*w + 11*w to the form y*w + q and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**2 - 2*x**5 + x**2 - 8*x**5 + x**5 - 13*x**5 + (-2 + 3 - 2)*(-6*x**5 + x**5 + 3*x**5).\nAnswer: -20*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 7) to base 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqwqqqqqqqqqqqq. What is prob of sequence qq?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -28, -55, -82?\n\"Answer: -27*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*o**2 - 173 - 167 + 340.\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 49 (b) -0.5 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4dc58 - 8?\nAnswer: -4dc62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/2, 0.18, 2\/245, -1, 2\/3 in ascending order.\nAnswer: -5\/2, -1, 2\/245, 0.18, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -71 + 69. Let h(j) = -14*j - 2. Let i be h(w). Find the second derivative of -i*q**3 - 13*q + 19*q**3 - 10*q + 2*q wrt q.\nAnswer: -42*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(45) + sqrt(5))**2 - (sqrt(15)\/sqrt(3) + 2) - (-1 + (sqrt(20)\/sqrt(4) + -1)**2).\nAnswer: sqrt(5) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(16)\/(1*sqrt(392)).\nAnswer: sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3 - 1809632*z**2 + 818693803485*z - 1637380368450.\nAnswer: (z - 904815)**2*(z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - 3. Let k = a - -11.8. Let b = 132 - 126. Do b and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 663.3477 months?\nAnswer: 0.055278975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 take away 58864137.963?\nAnswer: -58864137.663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1991 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: Let z be 35\/10*(-4)\/(-7). Let b(c) = -c**3 + z*c**3 - 7 + 3 + 8*c. Let m be b(5). Calculate the greatest common divisor of 23 and m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 6:52 PM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 8 = 10. Let k = -1193 - -1223. What is the lowest common multiple of k and f?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8*(2 - 25\/20). Let x be (v\/(-15))\/(3 + (-95)\/25). Factor -x*t + 0 + 1\/2*t**3 + 0*t**2.\nAnswer: t*(t - 1)*(t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1747.95 - -1748. What is the smallest value in l, -5, -0.07, -3\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 27 or 23628\/863?\nAnswer: 23628\/863","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-7)*s*s**(1\/2)*(s**(-2))**38 assuming s is positive.\nAnswer: s**(-163\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*h + 3 - 3)*((-3*h**2 - 1 + 1)*(6 - 3 - 4) - 2*h**2 + 0*h**2 + 4*h**2) to the form m*h + w*h**3 + t*h**2 + p and give w.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m - 1. Let r be f(-1). Calculate the common denominator of (2\/r)\/10*53 and ((-1)\/5)\/((-36)\/(-390)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 6*x**2 - 4*x - 7. Let i be b(4). Sort 3, i, -1 in decreasing order.\nAnswer: i, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + 0. Let l = g + -4.99965. What is l rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) + 4*(sqrt(252) - 2*sqrt(252)))\/((sqrt(36) + (sqrt(36) - 4*sqrt(36)))*4).\nAnswer: 3*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -31311758, -31311757, -31311756, -31311755?\n\"Answer: o - 31311759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1978000 rounded to the nearest 100000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 493 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 9, -1\/5, -1, -1\/3, 21, 340, -28?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -86 - (-35 + (71 - 29))\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 189958 and 1184?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 185*p + 160. Let v(m) = m**2. Calculate z(v(k)).\nAnswer: 185*k**2 + 160","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**4 + 4*g**3 - 3*g**2 - 10*g + 8.\nAnswer: (g - 1)**2*(g + 2)*(g + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 5*o - 42 = -4*o, 2*o + 69 = -5*k. What is the biggest value in k, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -6*u + 2. Let f(k) = -10*k + 1. Let d be f(u). Let q = -1 - d. Calculate the remainder when 51 is divided by q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1 + sqrt(125) + -1 + sqrt(125))**2 - (-2 + (-5*(sqrt(125) + 1 + sqrt(125)))**2).\nAnswer: -12007 - 420*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/365274 and 127\/405860.\nAnswer: 3652740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - (-16)\/14) + (-1506)\/(-42). Let k = -34 + n. Determine f so that 8\/7*f**k + 2\/7*f + 12\/7*f**3 + 0 + 8\/7*f**4 + 2\/7*f**5 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 773 is divided by 377?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -372882675*c**4 + 53577308*c.\nAnswer: -4474592100*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 2 + 2 - s**3.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 390300 rounded to the nearest one thousand?\nAnswer: 390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.6086 to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1112406 + -37?\nAnswer: 1112358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 2:24 PM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31 - -32. Suppose -i - 4*o = 9, 4*i - 3 - k = 4*o. Do -2\/101 and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h**(3\/7)*h))\/h**8*(h*h**(-7)\/h)\/h**(-3\/2) assuming h is positive.\nAnswer: h**(-209\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 0*v + 2 - 5*v - 2 + 7*v**3. Let b = 138 - 146. Let m(w) = 20*w**3 - 14*w. Give b*f(q) + 3*m(q).\nAnswer: 4*q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/28 of a week?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 909895?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/27 - 0) + 13\/(546\/(-791)).\nAnswer: -35\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 0.9. Let g = s + 1.7. Let l = g - -7.4. Is l <= 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 4*l - 3*r, 23795 - 23785 = -4*l + r for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 8, 10, 2, -214, 4 in increasing order.\nAnswer: -214, -2, 2, 4, 8, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r + 17. Let k be j(-8). Let u = -5 + k. Let f = -0.9 - -0.6. Which is the third smallest value? (a) u (b) f (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 52044.4 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 2992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 4) to base 15\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 15*-28\nAnswer: -420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.197, 1, -0.3, -7\/4 in increasing order.\nAnswer: -7\/4, -0.3, 0.197, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44 (base 5) to base 10.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of -r**5\/60 + 1664*r**2. Let m(n) = -2*n - 24. Determine a(m(i)).\nAnswer: -4*i**2 - 96*i - 576","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78 - 156 + 78 + 1287653*r**2.\nAnswer: 1287653*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 3 = -4*g + 28, 7 = -5*v - 2*g for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of 2\/3*q**3 - 5 + 0*q**2 + 0*q. Let f(h) = 3*h - 3*h - 4*h**2 - 3*h**2. Determine i(f(t)).\nAnswer: 98*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 284310 and 182?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3 - 1 - 4*p + 1 - 3 + 2*p**2.\nAnswer: 2*(p - 3)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - -55?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooooooiii. Give prob of picking 2 o and 1 i.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48467.\nAnswer: 17, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -28a318 (base 11) in base 14?\nAnswer: -bb0b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/9 + 49967852*g\/9 - 11103968.\nAnswer: 2*(g - 2)*(g + 24983928)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -50241244 (base 6) to base 5\nAnswer: -330430412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 5*m + 40 = 4*s, 4*m = 2*s - 4. Let q(v) = v**3 - 6*v**2 - 2*v + 11. Let h be q(s). Let z(d) = d. Let x(p) = 4*p - 4. Calculate h*x(b) + 2*z(b).\nAnswer: -2*b + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/174972 and 125\/42.\nAnswer: 174972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-39)\/33 + 2\/11. Which is the closest to 2? (a) 0.5 (b) -5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 3 + 3)*(-2 - 1 + 0) + 6*p - 106*p - 39*p.\nAnswer: -145*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b + 6. Let s(y) = -12*y + 18. Let f(q) = -2*q + 6. Let z(h) = 5*f(h) - s(h). Give -5*m(w) + 2*z(w).\nAnswer: -w - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -48 + 248. Suppose -n + 104 = n - 2*p, w = 4*n + 4*p. Suppose 5*j + 4*o = 186, -2*j + 66 = -2*o + 6. What is the highest common divisor of j and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 3. Let x be (15 - 14)\/(j*4). Which is the nearest to 2\/3? (a) x (b) 0.3 (c) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5292b7 (base 13) in base 2?\nAnswer: 111011000001000011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95905324?\nAnswer: 2, 4547, 5273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95285 is divided by 1380?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 + 2*i - 7. Suppose 0 = -2*s + 2*k + 4, 92*k - 13 = -2*s + 91*k. Give f(s).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93127 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 + 1. Suppose -6 = -2*n, 4*j - 4*n = -13 - 3. Let h be l(j). Solve -h*b + 4 - 10 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -5 + (sqrt(1377)*-4*6 + 3)*2.\nAnswer: -432*sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6985.1 - 6985. What is the closest to -1\/4 in -776, -2\/11, m, 1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1150, -229, -2538, -5783, -9970, -15105?\nAnswer: -21194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1247?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (842 + 527 - 222)*(-3*r - 1 + 1).\nAnswer: -3441*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of x**8\/84 + 4*x**7\/105 - 4*x**6\/15 - 16*x**5\/15 + 8*x**4\/3 + 64*x**3\/3 + 2*x**2 - 26. Suppose h(p) = 0. What is p?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 39*k + 8. What is x(-1)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4313 and 16853.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/3*18)\/(77\/(28490\/(-148)))?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of o**4\/24 - 7*o**3\/6 + 1363*o**2. Determine m(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -124 - -123.7. What is the closest to 0.3 in -1\/2, 0, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - -4 - (-6)\/(-3). Suppose -o = -2*a - 0. Suppose a*u = 20 + 4. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 148149074.427 from 0.82.\nAnswer: -148149073.607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 1454 - 1453 = -s - 2899, -s = -5*d - 16 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of 7*u**3\/3 - u**2\/2 + 1983*u. Let t(m) = m**2 - 15*m + 1. What is 3*k(p) + 2*t(p)?\nAnswer: 2*p**2 + 12*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 2*(5*((-1*(sqrt(7) + 1))**2 - sqrt(21)\/sqrt(12)) + (1 + ((sqrt(84)*2)\/sqrt(12) - sqrt(7)))*6).\nAnswer: 27*sqrt(7) + 88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-226)\/4*(28 + -20). Let h = -275 - k. Suppose 5*o - h - 128 = 0. Does 40 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b - 2 = 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.88 + -1. Let v = 1.52 + f. Let n = v - -0.6. What is the biggest value in n, 0.4, -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1489902 by -496634.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24950078?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 351*z**2 + 342*z**2 + 0.\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + 1 + 15 + -48 + 4.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 8 = -5*k. Suppose -2*y = -k - 82. Let b(f) = f**3 - 13*f**2 + 43*f + 8. Let j be b(7). What is the greatest common divisor of y and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 90, 352, 788, 1398, 2182, 3140?\n\"Answer: 87*t**2 + t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**(-7))\/(m**22\/m) assuming m is positive.\nAnswer: m**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xsxzoxzoxsxssxsxsxs. What is prob of picking 2 s?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/(k\/k**(-1))))**(-1\/87)*k**(2\/5)*(k**(-1\/5)*k)\/k*(k\/(k\/k**(-2\/9)))\/((k*k**(-1\/5))\/k)*(k*k**(1\/3)*k*k)**(-4\/7) assuming k is positive.\nAnswer: k**(-15986\/9135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 4*v + 3*f + 13, -f = -v + 8. Solve v*u + 0*u = 12 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 255*b - 356*b + 909 = 0 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 12306 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1069692165 and 230.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.5796*-7\nAnswer: 4.0572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9 - -286?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -36\/102947 and 71\/130.\nAnswer: 1029470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -11780, -11764, -11748?\n\"Answer: 16*n - 11796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*w + 779 = -152 - 77 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -206? (a) 1\/6 (b) 3 (c) -1.6 (d) -6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196 = -30*l + 58*l. Let q(m) = 2*m**2 + 13*m + 3. What is q(l)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1 (b) 2 (c) 10 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -6*l**3 - 4*l**2 + 4*l - 113. Let w(z) = -5*z**3 - 3*z**2 + 3*z - 111. Determine 3*k(m) - 4*w(m).\nAnswer: 2*m**3 + 105","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12\/35 + 1\/5. Let w = 0.11 - 4.11. Put u, w, -1\/6 in increasing order.\nAnswer: w, -1\/6, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u*u\/u**(-2\/7))\/u)*u\/u**5)\/(u\/(u\/(u**(-1)*u)))**(-44) assuming u is positive.\nAnswer: u**(-30\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of c**4\/24 + 1069*c**2. Let k(l) = -16*l + 6. Determine g(k(j)).\nAnswer: -16*j + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(13) - sqrt(325)) + (sqrt(26)\/sqrt(128) - sqrt(13)) - (sqrt(6292) + 0 + sqrt(6292) + -5 + sqrt(6292)).\nAnswer: -567*sqrt(13)\/8 + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s - 1. Let l(h) = 4*h - 16. Determine 6*a(j) + l(j).\nAnswer: -2*j - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14777004857483\/1927047912 + -2\/80293663. Let b = 7671 + z. Find the common denominator of 2\/5 and b.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 2*r = -0*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 23.367?\nAnswer: 11.6835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000413193 rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (3875 - -2)\/(1 + 0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m**5\/13 - 2138*m**4\/13 - 6954*m**3\/13 + 2882*m**2 + 16872*m\/13 - 25416\/13 = 0. What is m?\nAnswer: -353, -6, -1, 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1321534 != -1321568?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -6*o**3 - 10*o**2 - 7. Let g(j) = 2*j**3 + 3*j**2 + 2. Give -7*g(r) - 2*s(r).\nAnswer: -2*r**3 - r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*w - 3*i, -2*i = 3*w - 4*w + 5. Suppose -6*m - 220 = -w*m. What is m rounded to the nearest ten?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 2\/3, 0 in descending order.\nAnswer: 2\/3, 0, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 17*i - 24. List the prime factors of a(8).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.1? (a) 3 (b) 4\/5 (c) 70 (d) -4.4 (e) -2 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3115?\nAnswer: 5, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t**(1\/3)*t*t*t**(-4\/5)*t\/(t*t**(-1\/10))*t**0)\/((t\/t**4*t*(t\/(t\/t**(-1\/2)))\/t)\/((t*t*t*t*t*t**(-2\/11)*t)\/((t**(3\/7)*t)\/t))) assuming t is positive.\nAnswer: t**(14464\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -188, -369, -550, -731, -912?\n\"Answer: -181*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 + 6. Let x be (w\/5 + 2)\/(-2). Let f = 0.16 - 0.06. Which is the nearest to f? (a) 5 (b) x (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.72 (b) -89 (c) 1\/2 (d) 106 (e) 16 (f) -0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 70 and 146287785?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -13. Suppose 0 = -c - 3*i + 31, 3*i - 11 = n. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + -ed5?\nAnswer: -ed6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 274679, 549370, 824101, 1098872?\n\"Answer: 20*d**2 + 274631*d + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(245) + 2)*6 + (sqrt(245) - (4 + sqrt(245)*2)) + -2 + 5 + 4)**2.\nAnswer: 1050*sqrt(5) + 6350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (53*f - 23*f - 24*f)*(26 - 12 - 20).\nAnswer: -36*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 + 8*n - 8. Let j be h(6). Let s be 2\/(-20) - j\/10. What is the closest to s in 0.3, -1, 1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 2 - (-2 + 1 + -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 208 = -3*c, 5*s - 235 = -5*c + 115. Suppose 0 = -15*v + 453 + c. Calculate the remainder when v is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 564605427?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-18) - 168\/189.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1602.\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -119*a*f**2*z**2 + a*f**2*z + 347*a*f**2 - a*z**2 wrt z?\nAnswer: -238*a*f**2 - 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 793?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1338 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -5*f - 3*q + 11, 3*q = -f + 7. Find the common denominator of -93\/2 and (-119)\/8*(26\/(-18) + f).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of (-1018)\/(-7) - (-8)\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9704498\/13 - -745102. Let b = -1399 - c. What is the common denominator of b and -14\/5?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0826 - 0.1826. Let u = -12 + 26. Let m = -1.14 - -0.14. Which is the smallest value? (a) p (b) u (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -2*s + 6, 3*b = -9*s - 9 - 48 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (432\/(-228))\/(447\/(-1043)). Determine h so that o*h**4 + 0 - 122\/19*h**3 - 18\/19*h**5 - 8\/19*h + 56\/19*h**2 = 0.\nAnswer: 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + q + 17 = 7*a - 2*q + 2*q, 4*q + 243 = 51*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 AM and 10:08 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-9)\/6)\/((-9)\/78)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1586325 times 0.16?\nAnswer: -253812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1177472.\nAnswer: 2, 9199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 101*p**3 + 15*p**2 - 223*p + 207. Let u be s(1). Factor -54\/7 - 324\/7*f - 720\/7*f**2 - u*f**3 - 250\/7*f**4.\nAnswer: -2*(f + 1)*(5*f + 3)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 10 + l**2 - 15 + 3 + 2*l**2 - 2*l**3. What is t(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 31794342 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -84*w - 5915654 + 17493458. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k + g + 30 = -10*k, g + 38 = -6*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10266)\/(-354) + (-10 - 0).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of -10 - 22*f + 1\/3*f**3 + 4*f**2. List the prime factors of n(-11).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 509 is divided by 47.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j + j - 3*j + 3*j + 2*j - 36. Calculate i(-11).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + (-381)\/9*-3. Does 7 divide 4\/18 - w\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -41 - -74. Let j = -23 + r. Solve -u + j = -2*h + u, 3*u = 2*h + 10 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 14 = -2. Suppose r = -0*j + 3*j. Let q(p) = p**2 + p - 1. What is the units digit of q(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -888 - -3551\/4. Let r = 2 + -1.5. Suppose -4*t - 10 = -2*t. Which is the nearest to j? (a) 0.2 (b) t (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 AM and 6:53 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.24 - -15.76. Let g = q + -15. Which is the second biggest value? (a) 0.2 (b) 0.4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1972 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*(3\/7)\/(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + -2 - 0) + 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 557*p + 3352. What is m(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -4*f - 21 + 1, -5*v + 25 = -4*f. Suppose 5*u - 33 - 27 = f. What is the lowest common multiple of u and 14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 31184, 124863, 281034, 499697, 780852, 1124499?\n\"Answer: 31246*m**2 - 59*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, 200, 611, 1216, 2015, 3008, 4195?\nAnswer: 5576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21\/100 or 224122?\nAnswer: 21\/100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1137 and -0.053846072.\nAnswer: -1137.053846072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 + 7. Let i(s) = 1. Let m(q) = -6*i(q) + y(q). Let z be m(-2). Does 8 divide 1 + (z + 1 - -25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 715 + 21. What is the third derivative of 543 - 156*j**2 - 543 - l*j**3 wrt j?\nAnswer: -1104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/17)\/p)\/(p*p**0))\/(p*p\/p**(2\/15)*p**(1\/4)) assuming p is positive.\nAnswer: p**(-4079\/1020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-4*1*sqrt(153))**2.\nAnswer: 88128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (32\/(-40))\/(1\/10). Let f be 8 + z - (1 + 0). Let i(r) = r**2 - 6*r + 3. Let s be i(6). Which is greater: f or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sl when two letters picked without replacement from ssssklsskskskskc.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12645*m + 10478*m + 7*m**2 - 5*m**2.\nAnswer: 2*m**2 - 2167*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 4:04 AM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -y - 5*u + 33, 0 = -4*u - 12. Is 6 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -45, -175, -403, -741, -1201, -1795?\n\"Answer: -2*l**3 - 37*l**2 - 5*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-51*t + 0*t + 25*t)*(-2 + 3*t + 2)*(-4 - 3 + 5)*(3 + 1 - 5).\nAnswer: -156*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 236 divide 99992577?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 + 21. Which is the third biggest value? (a) 1\/3 (b) 2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29, 58, 75, 74, 49?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 14*o - 22. Let u(w) = -50*w + 60. Let m(s) = -8*g(s) - 3*u(s). Let r(q) = -37*q + 5. Give -4*m(p) - 3*r(p).\nAnswer: -41*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 66161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - 19*b**2 + 18*b - 21. Let y be h(-20). Let p(s) = -y - 19 + 38 - 2*s. Let d(x) = 4*x. Calculate p(d(g)).\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2695274?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1545921450?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 10:12 AM?\nAnswer: 7:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 693 and 6489?\nAnswer: 71379","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55379 is divided by 1026?\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-10.821.\nAnswer: -1.0821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 3*r + 31 - 30 = 0. Let g(a) = 3*a + a + 2*a. Determine g(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 156 (b) 2\/11 (c) -4965\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4678534, 4678538, 4678540, 4678540?\n\"Answer: -j**2 + 7*j + 4678528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -628 - -650. Calculate the greatest common factor of 88 and h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -4*p**3 + 4*p + 3. Suppose -84 = 14*f - 17*f. Let a(i) = -36*i**3 + 36*i + 28. Let v(c) = f*r(c) - 3*a(c). Factor v(o).\nAnswer: -4*o*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 491\/2 - 1963\/8. Which is the third smallest value? (a) t (b) -1\/8 (c) 2\/31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -249, -1026, -2331, -4164, -6525, -9414, -12831?\n\"Answer: -264*k**2 + 15*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/290 and -94\/435?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 150, -267, -7 in decreasing order.\nAnswer: 150, -7, -267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001695 to four dps.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -4\/5, 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -395 = -40*i + 45. What is the greatest common divisor of 11 and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 7*s - 5. Suppose -s*o + 193 = 31. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -87280 or -87283?\nAnswer: -87280","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 610473449 to the nearest integer?\nAnswer: 848","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*f + 2. Suppose -f*k = -4*i + 30, i = -i + 2*k + 14. Solve w + 2*w = -i for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2500*o**3 + 48*o + 174. What are the prime factors of q(-3)?\nAnswer: 2, 3, 5, 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -229097 (base 10) to base 6.\nAnswer: -4524345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 5*l = -71, -19 = -3*p + 4*p + 4*l. Is -27 greater than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.41 + -1.3. Let m = 0.21 - w. Let h = 4 - 6. Which is the nearest to h? (a) m (b) -0.4 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -934 - -498. Let o = v - -432.93. What is o rounded to 1 decimal place?\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*y**3 + 0*y**3 - 8*y**3 + 29*y**3.\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 47*l**2*p*z**2 + 109*l**2*z**3 + l**2*z**2 - 8*l*p*z - 2*p*z**3 wrt p.\nAnswer: 47*l**2*z**2 - 8*l*z - 2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6602 by 73096.\nAnswer: -3301\/36548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 410916744?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8941 + -9?\nAnswer: -894a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-44)\/(-462))\/((6\/34137)\/(-1)). Let o = 543 + m. Find d, given that 4\/7*d + 0 + o*d**3 - 10\/7*d**2 - 2\/7*d**4 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.119*28\nAnswer: 3.332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 1 (b) -2 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + y - 5. Let f be y*6\/(-3) - -21. Calculate the highest common divisor of 171 and f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 303492?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5889 and 507.\nAnswer: 76557","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*s - 690*s + 65451 + 4164 = 0 for s.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.29775388 rounded to 2 decimal places?\nAnswer: 41.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-28)\/6*21\/(-2). Let n = -29 + f. What is the greatest common divisor of 8 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 11, -1, 3\/2, -5 in decreasing order.\nAnswer: 11, 3\/2, -1, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -8, -5, 11, -44584 in descending order.\nAnswer: 11, -1, -5, -8, -44584","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 11 + 31. Let v = w + -30. Is 12 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of 0 + 7\/120*n**5 - 1\/12*n**4 - 5\/6*n**3 + 3*n**2 - 1\/360*n**6 + 0*n. Let q(i) be the first derivative of p(i). What is q(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1422441 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2853*d - 39475 = -207802 for d.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2 - 466708*f - 7934325.\nAnswer: (f - 466725)*(f + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((-33)\/(-1))\/((410\/120)\/41) and 231?\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -441*k + 436*k + 850 = 0. Is k a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2637 - -2637. Solve 20*m = -j*m - 100 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 1)*(1 - 3 + 4)*(-1 + 2*m + 0*m - 3*m).\nAnswer: -6*m - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 4*z + 118. What is c(-32)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5760430 divided by 2\nAnswer: 2880215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 119084 (base 11) to base 5\nAnswer: 22002023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90984 is divided by 927.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -16865, -4, -5, 3, 2, 348 in increasing order.\nAnswer: -16865, -5, -4, 2, 3, 348","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2275 and 489775?\nAnswer: 3428425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of l**3\/2 + l. Let i be m(3). Let f = i + 0. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + 8*q**2 + 6. Let f be d(8). Let z = f + -6. Let g = -10 + 14. Solve z*x = -g*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2296 and 19544.\nAnswer: 801304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -66 - 74. Suppose -p + 2*p + 3*c - 14 = 0, 2*p - c - r = 0. What is the remainder when 41 is divided by p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 - ((-1)\/2)\/(2\/32). Put -6\/13, 0, z, 3, 2\/19 in decreasing order.\nAnswer: z, 3, 2\/19, 0, -6\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2631680*z - 55818467 wrt z.\nAnswer: -2631680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 + 6*y - 3. Let w be c(5). Let f(i) = -i**2 - i + 2. Let u be f(w). What is the least common multiple of 4 and u*(-5 + (0 - -2))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 7*r**2 + 5*r - 3. Let m be h(-6). Let l(o) = -o**2 + 4*o - 3. Let s be l(m). Solve -5*z + 2 - 7 = s for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 646, -1, 4 in descending order.\nAnswer: 646, 4, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-9))\/(t\/(t\/t**(9\/7))))**(2\/7)\/(t*t**(-3)*t**(-8)*t**(-5)*t*(t*t**7*t)\/t) assuming t is positive.\nAnswer: t**(416\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 41042 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -134271 divided by 9.\nAnswer: -14919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, 4\/15, 36, 0.3, -3\/7 in descending order.\nAnswer: 36, 0.3, 4\/15, -3\/7, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zf when two letters picked without replacement from {f: 3, z: 1, c: 3, x: 3}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -3*s**2\/8 + 4515*s\/4 = 0?\nAnswer: 0, 3010","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 - y - 3. Let w be b(0). Let i(v) be the first derivative of v**4\/4 + v**3 - 3*v**2\/2 - v + 176. What is the units digit of i(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 3 = -3*z, -5*z + 0 = p - 8. Suppose -4*w = 5*r - 0*r - 820, p*w - 614 = -4*r. List the prime factors of w.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5468 is divided by 25?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 31584 and 952448.\nAnswer: 134295168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -256 + 259. Suppose 0 = -5*v - c*l + 7688 - 828, -2*v + 4*l = -2718. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 r, 1 a, and 1 o when four letters picked without replacement from bybyrrrbebrroaoar?\nAnswer: 24\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -43d5 (base 16) to base 5\nAnswer: -1023430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0.2, -2, -1\/7, 11, 48 in descending order.\nAnswer: 48, 11, 0.2, -1\/7, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w**3 - 2*w**2 + 12*w + 3. Let o be s(-3). Sort -6, 39, -4, -1, o in ascending order.\nAnswer: -6, -4, -1, o, 39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-w + 1 - 1)*(-4 + 4 + 3*w) + 11 - 45*w**2 + 87*w**2 - 2*w + 43*w**2 to the form q*w + y + p*w**2 and give p.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6651957 divided by -39?\nAnswer: -170563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 558948060 to the nearest 100000.\nAnswer: 558900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19.1097447 + 0.2.\nAnswer: -18.9097447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of 0*l**3 + 8 - 9\/2*l**4 - 14*l + 0*l**2. What is the first derivative of p(d) wrt d?\nAnswer: -54*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 2. Let 3*l**2 + 12*l + f*l**2 + 3*l - 20 = 0. Calculate l.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 2*a - 52*a**2 + 4*a**4 + 52*a**2 to v*a**2 + q*a**3 + h + u*a + x*a**4 and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/5 of a millennium?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 127.981 + 0.019. Let c = i + -127.79. Which is greater: -0.02 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6533541.\nAnswer: 3, 7, 23, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 7 - 6*j - 4*j + 4*j + 2*j. What is the remainder when f(-9) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6156780, -12313472, -18470164, -24626856, -30783548, -36940240?\nAnswer: -43096932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 10*z - 16. Let i be t(9). What is the highest common divisor of i and 1406?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 + 4*x**2 + 945*x + 28. Give s(-29).\nAnswer: 376","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 50 = -3*b, -5*m + 4*m - 5 = 0. What is the least common multiple of b and 5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 22196*r - 44439. Determine z(2).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-61)\/11 - (160\/(-4))\/8\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 26 = 3*q, 0 = -5*o + 3*q + 6 + 28. Find the common denominator of -149\/24 and 26\/o + 14\/(-35).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -34 + (19 - 6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 20\/15 + (-10)\/(-6). Suppose -43 = -2*q - l - 11, a*q = l + 53. Is q bigger than 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -663*o**3*r**2*s*x + 3566*o**3*r**2*x + 2*o**2*r**2*s*x + 2*o**2*r - 3*o**2*s*x + 13*o**2*s - 35*o*r*x + 3*r**2*x - s*x wrt o.\nAnswer: -3978*r**2*s*x + 21396*r**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 7*d = 0. Let m(h) be the second derivative of -4\/33*h**3 - 2*h + d - 1\/66*h**4 - 4\/11*h**2. Suppose m(i) = 0. What is i?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4000731 rounded to the nearest 100000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 + -12.5. Let w = 24 - 193\/8. What is the third smallest value in w, 3\/5, i?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14035, -13153, -12271?\nAnswer: -11389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/21 + 2\/7. Suppose -24 = -5*v - d*k - 2*k, k + 33 = 5*v. Is 4 a factor of (-3*2)\/(v\/(-8))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 - 956?\nAnswer: -963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 13*u**2 + 21*u + 14. Suppose 0 = 4*q, 3*q = 5*a + 4*q - 55. Calculate the remainder when j(a) is divided by ((-32)\/(-80))\/(8\/(-5) - -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 13*p + 14 = 17*p, -5*p + 8 = -g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - (sqrt(68) + -1))*1 - (4 + sqrt(68) - sqrt(68))*1)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 321 and 88873879.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -28 and 47.39.\nAnswer: -1326.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 12 + -6 - 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -786*d + 568 = -1668*d + 811*d for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 at least as big as 33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*q**2 - 73*q**2 + 160*q**2 - 105 + 105.\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**0)\/s*s**(1\/13)*s*((s*s**(4\/13))\/s)**18)**9 assuming s is positive.\nAnswer: s**(774\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -3*b. Let h = -101 + 104. Suppose -3*x + 30 = 5*z, h*z - 15 = -3*x + 9. Sort -4, -2, z, b in decreasing order.\nAnswer: z, b, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2*-1 - -5)*1. Let q = -1\/116 + -7\/29. Sort 1, o, q.\nAnswer: q, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 - c. Let t(b) = 4*b + 2. Let z(a) = 4*t(a) + 4*y(a). Factor z(q).\nAnswer: 4*(q + 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 12.3, -0.3, 115, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/14 in 2, 6.4, 1.03?\nAnswer: 1.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 63*g**2 - 2923*g**2 + 408*g**2 in the form m + u*g + t*g**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 15, 12, 23, 54, 111, 200, 327?\n\"Answer: y**3 + y**2 - 13*y + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 1 = 2*d, 4*q + 5*d = 6*d - 17. Sort q, -2, 10.\nAnswer: q, -2, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -664*u + 907*u = 10935 for u.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 433 = -5*v, -z + 374 - 21 = 4*v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29 + 32. Suppose 32 = a*v - 58. Suppose -4*r = -k + 8 + v, -3 = -k - 3*r. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, 4, 753, -2 in descending order.\nAnswer: 753, 4, 3, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (-8 - 4 - 4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ask when three letters picked without replacement from {s: 2, a: 8, z: 3, k: 1, t: 2, f: 1}.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -631*b**4 - 5*b**2 - 10*b + 253. Let c(i) = 1890*i**4 + 14*i**2 + 28*i - 760. Let p(g) = -5*c(g) - 14*j(g). What is the derivative of p(x) wrt x?\nAnswer: -2464*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 12, -2\/7, -3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/136 and 39\/85?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 + 5 = 5*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 r when three letters picked without replacement from pfr?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 60\/154 - 10\/(-55)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13372 + 0.2.\nAnswer: 13372.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*a**2 - 53 + 3*a**2 + 22*a**2 + 17*a**2.\nAnswer: 2*a**2 - 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 - 2)*(3 - 2 + 0)*(0 - 1 + 2)*(461*n**3 + 301*n**3 - 866*n**3) in the form q*n**2 + o*n + p + c*n**3 and give c.\nAnswer: 416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/1409 + -1413\/2818. Which is the smallest value? (a) h (b) 0.03 (c) -1 (d) 12 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -656*g + 472 + 207*g + 233*g + 215*g.\nAnswer: -g + 472","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2695) + sqrt(2695)*-5 - (sqrt(55) - (sqrt(385)*-3)\/sqrt(7)))\/((-3*(sqrt(88) - 3*sqrt(88)) + sqrt(88))\/sqrt(8)*1))**2.\nAnswer: 5120\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 73*a + 138 + 615*a - 138 + 778*a to x + w*a and give w.\nAnswer: 1466","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (16 + -32 - -12) + 41.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 5*n - 5, -3*z - 3*n = -0*z - 3. Let u be (z - 0) + -2 + 4. Let t(o) = o + 220 - 114 - 107. Give t(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -23 - 67. Suppose -198 + v = 30*l. Let f(i) be the second derivative of i**3\/6 - 7*i**2\/2 - 2*i. Give f(l).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(5\/7)\/(p\/p**14))\/(p*p**(-1))**(-2\/87))**(2\/47) assuming p is positive.\nAnswer: p**(192\/329)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 87582613 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (119 - (24 - -70))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 27*i**2 - 65*i - 3144. Calculate d(12).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -4. Let r(l) = -3 - 3*l**2 - 2*l + 2*l**3 + 0*l**2 - l**3. What is the units digit of r(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -181 - -181. Let i = 1 - 0.9. What is the second smallest value in -2\/3, i, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4179186.\nAnswer: 2, 3, 11, 21107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 466286 is divided by 1552?\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 68 and 340?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -11*(5 - (-1512)\/(-297))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 148177 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -74222, -74196, -74170, -74144, -74118?\nAnswer: -74092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -45 + 57. Suppose k = 10*x - 6*x. Solve 0 = s - 2 + x for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -179 - -412. Let z = 303 - r. Calculate the highest common factor of z and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -0.5, 0.049, -0.8, 0.5 in ascending order.\nAnswer: -9, -0.8, -0.5, 0.049, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 35*f - 42*f. Which is the closest to 1? (a) -1\/6 (b) f (c) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -44*c - 3. Suppose 35*w = 2*h + 40*w - 1, -5*h - 2*w = -13. Determine s(h).\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 times -0.07?\nAnswer: -0.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 136 + -71. Let a be 65 + 0*(-3)\/6. Let y = a + -39. Calculate the highest common factor of y and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65 + 72 - (8 - 0 - (1 - -1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of 115*u**8\/56 - u**4\/12 + 5*u**2\/2 - 72*u. Find the third derivative of r(z) wrt z.\nAnswer: 13800*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - 6) + 5 - -27 - 3?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28.9 + 29. Which is the second biggest value? (a) y (b) -39 (c) -3\/5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 8 = w. Let q(p) = -4 - 3*p**2 + 0*p**2 + 16 - 7. Let f(s) = 2*s**2 - 4. Let l be 1*-5*1\/1. Calculate l*f(h) + w*q(h).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.73 - -0.23. Suppose i = 5*p + 2*i, -p + i = 0. Let o be -2 - (-2 + 0 + p). Which is the nearest to o? (a) s (b) -1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1271 - 1271 - 3*q**3.\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 + 9*u - 1. Let p be a(-6). Let w(h) = -2*h - 5. Let b be w(4). Let z = b - p. 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: What is the units digit of 23820028?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 13*v + 143. Let n be m(-11). Suppose 0 = -5*i + 4*y + 41, 5*i + 3*y = y + 17. Solve -i*b = -n*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44 and 1012?\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25033 - 50021\/2. Solve 0 + 29\/2*t**2 + w*t**3 + 3*t + 27\/2*t**4 + 5\/2*t**5 = 0.\nAnswer: -3, -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s**4 + 3*s**4 + 11*s**4 + (-3*s**2 - 2*s**2 + 7*s**2)*(2953 - 2953 + 4*s**2 + 17*s) to the form w*s + c*s**2 + k*s**3 + u*s**4 + h and give k.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**2 - 10*z - 2 - 2*z**3 + 1 + 12*z + 3 = 0. Calculate z.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5488218 is divided by 138?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*s - 27 = 14*s. What is the least common multiple of 33 and s?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000102 rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of (-2853 + -3 + 6)\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1005520115?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16782 - -16785. Sort 9, -5, 4, d, 66 in increasing order.\nAnswer: -5, d, 4, 9, 66","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12059509 to the nearest integer?\nAnswer: 3473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 732*h**2 + 10977*h + 25. Calculate z(-15).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28903176 by 54.\nAnswer: 535244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 3*l**3 - 3*l**2 + 3*l + 40. Let q(w) = -w**3 + w**2 - w - 13. Let x = -2 - -8. Let u(t) = x*j(t) + 17*q(t). Is u(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + k - 2 = 0. Let w = k + -4. Is 2\/w - (-94)\/6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 6 = 6*z + 6*z + 4*z - 18*z, -2*z = -u - 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -188 + 193. Suppose -5 = -2*w + m, 2*o + 5*w - 17 = 0. Let v(c) = c**2 + 6*c + 4. Calculate v(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*w**4 + 0 + 0*w**2 + 0*w - 4\/7*w**3 + 1\/7*w**5.\nAnswer: w**3*(w - 2)*(w + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of 0*c**3 + 6\/5*c**5 + 1\/30*c**6 + 0*c + 0 - 57*c**2 + 0*c**4. Factor b(i).\nAnswer: 4*i**2*(i + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 210966 and 68157087.\nAnswer: 15069","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -2\/205 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*f + 5802 = 3626 + 4291 for f.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is t in t**2 - 25*t + 24 = 0?\nAnswer: 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 38*t + 39*t + 16*t + 66*t as x*t + k and give x.\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*a - 4*a - 4*k, -2*a + 3 = 5*k. Suppose a*h - 2*h = -2. Which is bigger: -5\/7 or h?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - 22\/14)\/((-906)\/(-8456)). Let k(n) = n**3 + 25*n**2 + 28*n + 92. Calculate k(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - d + 3 = -0, -3*d + 12 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -6*p + 37. Determine y(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 24 - 4, -2897 = -2*d + 5*c. List the prime factors of d.\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*d - 70 = -45*d. Calculate the remainder when 390 is divided by d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 50?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/49 <= -7.887?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12522, -3, -2\/57, 4, 2 in ascending order.\nAnswer: -12522, -3, -2\/57, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 3)*(a**3 - a**3 + a**5) + 5*a**5 - a**5 - a**5 + 9*a**5 + 17*a**5 + 2*a**5.\nAnswer: 32*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 3*s - s - p, -s - 5*p = -18. Suppose s = 3*t + t. Solve 3*q + 3*b + 6 = t*q, -2*q - 9 = 3*b for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 3*m + 12 = 0, -y + 6*y + 4*m - 14 = 0. What is the highest common divisor of 8 and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/17*((-928)\/(-319) - 3).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 - 35 - (0 - (2 + 9)).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*n - n**2 - 3 + 1 - 20*n + 0*n**2 to a*n + w + t*n**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9127, 9138, 9151, 9166, 9183, 9202, 9223?\nAnswer: 9246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 9. Suppose 0 = -4*d + p*r + 86, -2*r + 19 = d - 0*d. Does 17 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 2:48 PM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 - 10*y + 67. Let c be q(-8). Is 15 at least as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121491 is divided by 911.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of b**4\/8 - b**2. Let r(s) = 8*s. Determine r(v(j)).\nAnswer: 24*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 53078 divided by -1?\nAnswer: -53078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00474 to four decimal places.\nAnswer: 0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.01, -0.06, -5?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2998 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 4:47 PM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*d, -5*x + 2*d = 6*d - 234. Is x a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fa when two letters picked without replacement from daadfgsaaf?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -270*c**4 + 12*c + 3 wrt c?\nAnswer: -3240*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.6818683 hours to weeks.\nAnswer: 0.0516777875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence py when two letters picked without replacement from gyypk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-4))\/((9546\/1628)\/(-129)).\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 11:42 PM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 42\/(-232) + (-12)\/(-48). What is the closest to -0.1 in -1, a, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ftftfftf. What is prob of picking 1 f and 1 t?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 5*a + 42 = 0. Let v = 15 + a. Let s(n) = -n**2 - v*n**2 + 2*n**2 - 3*n**2. Let h(i) = -2*i. Give s(h(k)).\nAnswer: -44*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (7 + -1)*(-19)\/3. Let o = n + 83. Suppose -4*p = -k - o - 56, p = 3*k + 39. Solve 3*h - 12 = -h, 5*y = -3*h + p for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w**3 - 30*w**2 - w + 27. Let g be p(15). Suppose 0 = 6*u - 8*u - g. Let z be (u\/4)\/(-2*4\/160). Solve -6*n + n - 3*d = z, -d + 4 = -3*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -7*l + 1. Let b(y) = y - 1. Determine -6*b(i) - k(i).\nAnswer: i + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100010010000 + 10000110101?\nAnswer: -10001011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j - 1. Let g(t) = 14*t - 2. Calculate g(l) - 2*h(l).\nAnswer: 16*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 74219351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -59) + -130 + 106 + -12\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8091771?\nAnswer: 3, 547, 4931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 31 = 5*u, 2*u - j + 3 = 13. Let f(c) = -u + 0*c - c - 2 + 3. Determine f(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 11*s - 47. Give b(-10).\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -2. Let w(c) = 3*c. Let y be w(m). Let t be (y\/(-2))\/(3\/(-4)). Is -5\/3 <= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/8130 and -179\/5723520.\nAnswer: 5723520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 7*c**3 - 198*c**2 + 3*c + 35. Let t(x) = 9*x**3 - 200*x**2 + 4*x + 46. Determine -4*k(g) + 3*t(g).\nAnswer: -g**3 + 192*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (98 - 47) + -91 - (-4 - (-2 - (1 - 6)))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*c**4 - 5279*c**3 + 41*c**2 - c - 335?\nAnswer: -168*c - 31674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b**3 + 2*b - 3 - 4*b**2 - 3 + b**3. Let c(r) = r**3 - 9*r**2 + 10*r. What is the remainder when c(8) is divided by n(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1850*y + 46451 - 300755 = 3448*y for y.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*o**4 - o**2 - 2*o**4 - 2*o**4 + 3*o**4 wrt o?\nAnswer: 96*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 603 greater than 4229\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -34 (base 5) to base 7\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4121321431 (base 5) in base 2?\nAnswer: 11111111111010101001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 11:58 PM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9521\/6 - 6299\/4. What is the common denominator of 59\/54 and w?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 3*g + 3. Let p(f) = -f**2 - 13*f - 13. Determine -26*n(k) - 6*p(k).\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 217 - 217.2. Sort p, 1, 0, 52 in decreasing order.\nAnswer: 52, 1, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3536 is divided by 238.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 998844?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o. Let v(h) be the third derivative of -h**6\/360 + 7*h**5\/120 - 17*h**4\/24 + 10*h**2. Let x(k) be the second derivative of v(k). Calculate x(z(j)).\nAnswer: -2*j + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 645.8827 nanometers?\nAnswer: 0.0000006458827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4433?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -24884809*x - 47925127 wrt x.\nAnswer: -24884809","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10922 in 6\/7, -2\/11, 0.4?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 73548318 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2128 + -2123. Let z(f) = 3 + 3*f**2 + 3*f + f**2 - 5*f**2. What is z(k)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 796 - 795. Suppose 25*x - 29*x + i = 3*t, 4*x + 11 = t. Solve 0 = t*y - b - 14, 5*y - 2*b = 3*b + 40 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -13123603, -26247214, -39370829, -52494448, -65618071, -78741698?\n\"Answer: -2*c**2 - 13123605*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -2*sqrt(720) + sqrt(720)*3 + 2 - -5*(((-1 + sqrt(720))*3)**2 - (4*-2*sqrt(720))**2).\nAnswer: -197956 - 1068*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*h - 467 + 215. Let j(a) = 3*a + 58. Calculate j(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 + (-7 - 35) + 6 + 1\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 127980219 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.5, -1.4, -9, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 7) in base 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 34.566571 to 0 decimal places.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + -3*sqrt(12)\/sqrt(6) + sqrt(2))**2*1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -123 - -21?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 - 39. Calculate the common denominator of (-31)\/6*(-27)\/d and -9\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 AM and 3:58 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 424 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5787506407 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9 + (-20445)\/(-810) + -16 - (-3)\/4 and 87\/10.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 522 divide 347130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + 20*u**2 - 17*u - 53. What is the tens digit of i(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 50622*t**2 - 59543 wrt t?\nAnswer: 101244*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35b (base 12) to base 10.\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -5. Let q be y + (-2)\/1 + 0. List the prime factors of (-1 + 1 + -3)*q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -87953a?\nAnswer: 879536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 2. Let t(h) = -958*h. Let k be t(z). Let l = 826 + k. Round l to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 + 7*z**2 + 7*z - 7. Give m(8).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 31.\nAnswer: 5\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) -4 (c) 0.05 (d) 4 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 388127 - -539.144?\nAnswer: 388666.144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-5))\/(9\/(-5)). Let x = 4722 + -4716. Is x bigger than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cocuoboocobbxoc. Give prob of sequence bcc.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72 - 21*f**2 + 40 + 33.\nAnswer: -21*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7562.01 kilometers in meters?\nAnswer: 7562010","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8072362 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.06 - 0.5. Let w = -0.06 - s. Let z = -19\/3 - -6. Which is the smallest value? (a) -4\/3 (b) z (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 261.6*1.\nAnswer: 261.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 141*l + 11 - 7 + 6 - 115*l.\nAnswer: 26*l - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 12 - (6 + -3 + 1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.173 minus -1.3?\nAnswer: 1.473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7475.67 centuries to millennia.\nAnswer: 747.567","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/u**(6\/7))\/u**(-2\/9))**(-26) assuming u is positive.\nAnswer: u**(-2236\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 575605.7ml to litres.\nAnswer: 575.6057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 4*m + 4, 0 = -4*b - 4*m - 2 - 2. Let a = -1 - -2. Sort b, a, -2\/21 in decreasing order.\nAnswer: a, b, -2\/21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 - 11. Suppose -2*d + 4 = -o, 3*d - 13 = -3*o + 4*d. Let x be (-20)\/o*(-24)\/20. Solve t + 3 = -n + 3*z, x*n - 4*z = -20 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2586 - 2584. Solve 15 = -37*i + 34*i, -r*h + 5*i = -27 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 368 is divided by 53.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.88753 - 238.46683?\nAnswer: -248.35436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*j + 3*j**2 + 4*j + (-5*j + j**2 + 5*j)*(-1 + 1 - 1) + j**2 + 3*j**2 - 2*j**2 + 2*j**2 + 3*j**2 - 4*j**2 to q*j**2 + f + l*j and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r - 4. Suppose -j + 3*m = 22, 2*m = -j + 4 - 1. Let i be w(j). Sort i, 0, 4 in decreasing order.\nAnswer: 4, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 294*j - 731. What is m(2)?\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -4 - ((0 - -1) + 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -162804645 and -2?\nAnswer: 325609290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 843 a factor of 49850805?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -7, -41, -89, -157, -251, -377, -541, -749?\n\"Answer: -c**3 - c**2 - 24*c + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 545 is divided by 269.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 138500 to the nearest 10000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 3*a**3 - 213*a**2 - 5*a + 349. Calculate r(71).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91 + 65 = 13*x for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/30, 103, 4\/3 in ascending order.\nAnswer: 1\/30, 4\/3, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o, o = -4*i + 40 + 24. Let v be (-20)\/3*(-12)\/i. Solve s = v*s - 20 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1728)\/(-99))\/16)\/((-2)\/(-11)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*d + 2*d + 4*d)*(-d + 82 + 274 + 782) to the form u*d + n + j*d**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a millimeter in nanometers?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5217544 is divided by 320?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/21 (b) 8 (c) 0.1 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -19816, -39630, -59430, -79210, -98964, -118686, -138370, -158010?\n\"Answer: g**3 + g**2 - 19824*g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {h: 3, b: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23065 - -43471. List the prime factors of b.\nAnswer: 2, 3, 19, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -2.6. Let i be ((-8)\/(-10))\/((-2)\/(-5)). Let f be i\/5*6\/(-12). Which is the second biggest value? (a) s (b) f (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5822?\nAnswer: 2, 41, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/53 (b) -2\/7 (c) -0.5 (d) 3 (e) -1.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 57\/(-42) - 1\/7. Let q = 2.8 + -3. What is the biggest value in q, r, -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 73 = 2*x, x - 811*p + 49 = -816*p for x.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/486 and -139\/270.\nAnswer: 2430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 19*m + 141. Let c be z(-7). Let i be 7\/c + (-9)\/18. Factor 0*v - 3\/8 + i*v**2.\nAnswer: 3*(v - 1)*(v + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -40 - 146?\nAnswer: -216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - -3. Solve r = -r - x for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 4878, 4371.\nAnswer: 4, 4371, 4878","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*r**4 - 35595*r**3 - 213642*r**2 - 427332*r - 284904 = 0. What is r?\nAnswer: -2, 11871","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/11)\/(x*x*(x**1\/x)\/x))\/(x**1)**38*x**4\/(((x\/(x*x\/(((x*x**1)\/x)\/x)))\/x)\/x)*x**(-3)*x**0*x assuming x is positive.\nAnswer: x**(-372\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -175.0781 rounded to 0 decimal places?\nAnswer: -175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2)*(-2*d + 2*d - d) + (-1 + 1 - 5*d)*(6 - 7 - 7).\nAnswer: 42*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 84735 - -7?\nAnswer: 84743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 15*l**2 + 2. Let q(j) = 933*j + 2 - 2 - 949*j. What is c(q(f))?\nAnswer: 3840*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*d**4 - 197348*d**3 - d**2 - 3708782*d.\nAnswer: -144*d - 1184088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -10.473?\nAnswer: 5.2365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 27980669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34.7005 centuries to years.\nAnswer: 3470.05","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 470 + 100a?\nAnswer: 147a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -4\/9, -1\/11277, 0.1, -5, 1, -3, -6.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19697912 to the power of 1\/3, to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0913 rounded to 2 dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 349749099?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z. Let w(u) = 34*u**2 + 3*u - 3. Let q(b) = 20 - 13*b - 851*b**2 - 61*b + 54. Let y(h) = 3*q(h) + 74*w(h). Give l(y(a)).\nAnswer: -74*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2345141 to the nearest integer?\nAnswer: 1531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.08? (a) 4 (b) 5 (c) -3\/35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -35*w + 18. Let q(p) = 51*p - 18. Determine -6*h(y) - 4*q(y).\nAnswer: 6*y - 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bllqllllwlll. Give prob of sequence qw.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16\/5 + -14\/5. What is the third biggest value in 4, g, 0.5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 233 + -2?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7917417?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -8*t**2 - 539*t + 5591. Calculate a(9).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 105.10469 rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -1408, -3, -2, 4, 2 in increasing order.\nAnswer: -1408, -7, -3, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/10)\/(3\/15)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -63 divided by 3834\nAnswer: -7\/426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 5:14 PM?\nAnswer: 7:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -3*r**2 - 1352*r + 6821. Give m(5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 17 = t + 5*u, 2*u = -4*t + 14. Suppose -t*p = -34 - 14. Suppose -p = l + 39. What is the common denominator of 17\/4 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.15 + 0.15. Which is the nearest to x? (a) -0.2 (b) 0.3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 210\/3383 or -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + h - 25 = 0. Let a be h\/10*6\/5. Which is greater: a or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1252 - 241?\nAnswer: -1533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 PM and 3:38 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46206478 is divided by 158?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/11 (b) 345 (c) -3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, i: 3, g: 1}. Give prob of picking 1 g and 3 i.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 282 + 199 - 121 = 24*s. Solve -5*n + o = -s, 12*n + 5*o = 11*n + 29 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*3\/(-3) - 30. Let p be a\/(-6) - (-3)\/(-9). Let k = p + -7. Let l(u) = -4*u - 3. Determine l(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 12. Suppose -s*o + 8 = 3. Suppose 0*q - 4*q - 2*t = -4, 5*t = 5*q + 10. Solve q*n - o = -n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 3*v**3 - 12*v**2 + 26*v - 14. Let s be g(2). Solve 130*a - 137*a - s = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 34 + -22. Let s be (9\/q)\/((-2)\/(-8)). Let m(v) be the second derivative of -v**4\/12 + 2*v**3\/3 - v**2\/2 + v. Calculate m(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 0.08, -122, 33, -2\/9?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of q**7\/420 + q**6\/360 - q**5\/60 - 11*q**3\/6 + 5*q**2. Let b(p) be the first derivative of v(p). What is b(2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18a10 (base 11) to base 8\nAnswer: 63616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 9671571?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -15 - (43 - 31) - -8?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13201, 26423, 39753, 53245, 66953?\nAnswer: 80931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(30\/1299) - 0. Let j = w - -833\/10. Find the common denominator of -41\/6 and j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1415 divided by -5.\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 15 = 0, 5*p + 0*p = -5*c + 40. Solve 0 = -4*s - p + 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/((-162)\/80 + 2). Let k = y + 167. Let n = k - 19. Does 12 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/45544 and 25\/192.\nAnswer: 1093056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 - 30*p - 45. Suppose 4795*k = 4811*k + 448. Calculate v(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p - 269*p**3 - 182*p**3 - 2*p.\nAnswer: -451*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 489 or 485?\nAnswer: 489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17846901.\nAnswer: 3, 1982989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t + 121. Let x(r) be the third derivative of -r**5\/60 + 1834*r**2. Calculate x(y(g)).\nAnswer: -g**2 + 242*g - 14641","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c (base 13) to base 4.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 21, 5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*h = -31*h + 37665. Let j = h + -1336. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10694)\/10694*2*4?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 0.10719.\nAnswer: 0.010719","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from unnvuauanvununvb. What is prob of picking 1 a and 2 n?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**5\/15 + 512*b**4\/15 - 3496*b**3\/15 + 2476*b**2\/15 + 1166*b\/5 - 996\/5 = 0. Calculate b.\nAnswer: -1, 1, 6, 249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*a + 1 + 639*a**3 + a**2 - 169*a + 1.\nAnswer: 639*a**3 + a**2 - 228*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44 and 13388?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 AM and 3:24 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/3 - 16*u + 50\/3.\nAnswer: -2*(u - 1)*(u + 25)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14493 + -14492. Let v be 0 + (2 + 1 - 2). Let d be (-2)\/18*-1*2. Which is the nearest to s? (a) d (b) -2\/3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.22 and -706.\nAnswer: -705.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 175 + -171. Suppose 36 = -p - 3*p. Let g be 1\/(-3) - 3\/p. Put l, g, 1 in descending order.\nAnswer: l, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2958.2413 + 7.9337. Let o = 2916.17579 - j. Let a = -50 - o. Round a to 4 dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**3 + 99*l**2 - 12442*l - 595822. Calculate z(-47).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 260 a factor of 7636604?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -418 and -0.4.\nAnswer: 167.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 3 c when four letters picked without replacement from {c: 4, p: 5, v: 6, g: 5}?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -13*m + 76. Let w(d) = 3*d - 25. What is -7*w(p) - 2*z(p)?\nAnswer: 5*p + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 - 11*i**2. Let r(z) = -5*z**2. Let p(q) = -9*r(q) + 4*v(q). Determine m, given that p(m) = 0.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148738021 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 3*t**2 + 6*t - 8. Let f(a) = -7*a + 3*a + 5 + 1995110*a**2 - 1995112*a**2. Give 5*d(h) + 8*f(h).\nAnswer: -h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 484475 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2333 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - (-5 + -3) - -5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5746 from 98.\nAnswer: -5648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/919 in 2\/17, -6, 2\/37?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g = -0*g + 9. Factor -7\/2*o + g + 1\/2*o**4 - 5\/2*o**3 + 9\/2*o**2.\nAnswer: (o - 2)*(o - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 17*o**2 + 2*o + 1. What is u(2)?\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01859964 rounded to three dps?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 126528, 126586, 126688, 126834, 127024, 127258?\n\"Answer: 22*d**2 - 8*d + 126514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 1, 2, -4, -2 in increasing order.\nAnswer: -4, -2, 1, 2, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 11. Suppose 29 = -2*z + u, z - 2*u + 2 = -14. Let o = 11 + z. What is the nearest to -1 in g, 4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1195, -0.1, 57.5, 2\/7, -3?\nAnswer: 57.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 130 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 18560 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in five quarters of a century?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((11 - 6) + -3 - (-4 - -4)) + 37\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -186 - -175. Let g(t) = -t**3 + 12 - 5 + 4 - 12*t - 12*t**2. List the prime factors of g(i).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(190)*3 - (sqrt(190) - (sqrt(190) - -2*sqrt(190))*-5))\/(sqrt(120)\/sqrt(3)*6)*2 + 0.\nAnswer: -11*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5571 + -5437. Solve -8*n + y = 94 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(2\/170265)*-8. Suppose -5*r + 0*d - 4*d = -1405320, 2*r - 562100 = 4*d. Let m = l + r. What is m rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 22548\/7, -0.048, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 396\/(-72)*(36\/11 + -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, -9, 15?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - (-6 + 18 - 5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t + 1 + 222223*t**2 - t**3 + 3 - 1 + 799237*t**2.\nAnswer: -t**3 + 1021460*t**2 + 3*t + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.23 + 0.14. Sort -0.3, 4, 0, s in decreasing order.\nAnswer: 4, 0, s, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 16) to base 6\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o + 85. Let p be a(-41). Suppose -p*q - u = -3*u + 2, -4*q + 5*u = 12. Let n = 0 + 5. Solve -n*k - 2*j - 35 = 0, 6 = -k - q*j - 9 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.07, 8, 12, -0.5?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 6*g - 147. Let y be j(27). Find the second derivative of -5*m + y*m - 15*m - 108*m**3 - 258*m + m**4 wrt m.\nAnswer: 12*m**2 - 648*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*w - 20. Suppose 0*d - w*d = -30. What is the units digit of 14\/d + (-10)\/25?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 5:48 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 323106 - 662732. Let u be a - (-3)\/(6\/4). Let z = u + -302921. What is z rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9339.889km to centimeters.\nAnswer: 933988900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 4*r = -r - 30, 4*r = 4. Suppose -4*a = -19 + s. Is a < 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u. Let z(l) be the second derivative of l**3\/6 - 9*l. Determine g(z(p)).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -136266 divided by 2\nAnswer: -68133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*y**3 - 2*y**2 + 1294*y - 42932 with respect to y.\nAnswer: -12*y**2 - 4*y + 1294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88562396?\nAnswer: 2, 13, 1703123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 4*t - 28, 4*t - 7 = 1. Let r = y - 10. Does 13 divide (17 + -4)\/(r + -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/(-30) + (-1311)\/(-230) + -6.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-four fifths of a centimeter?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 4*h**2 - 9*h - 27. Let c(z) = -z**2 + 2*z + 7. Let b(t) = -t**3 + 6*t**2 + 40*t - 194. Let m be b(8). What is m*a(i) - 9*c(i)?\nAnswer: i**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30705, 30667, 30629, 30591?\nAnswer: 30553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -91956.045 rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y + 5. Let d be q(-19). Calculate the common denominator of 18\/5 and 22\/(-16) + (d - -11).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 124 = -324. Let r = 16060 - 16025. What is the smallest common multiple of r and c?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (4 - 10) + (53 - (-36 - -15)) + -18?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 9646*r + 637. Let y(u) = -91*u - 6. What is 637*y(q) + 6*z(q)?\nAnswer: -91*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1298 - -1297.89. Is 89 at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -126\nAnswer: 25.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -46 + 62. Let q = 5 - 0. Suppose q*j - p = 3*p + 42, -j = p - 12. What is the least common multiple of c and j?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1517.5 + 1517. Which is the closest to -7? (a) q (b) 0 (c) 2 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*f**5 - 2*f**4 - 12*f**2.\nAnswer: -180*f**2 - 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22020011202 + 12?\nAnswer: 22020011221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 + 17. Suppose w + 2 = 0, 3*t - 536 + 222 = -y*w. Let n = t + -47. Is n a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 e when two letters picked without replacement from {o: 1, e: 2, v: 1, m: 3}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1080\/(-160)*(-200)\/(-1530)?\nAnswer: -15\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4885 - -4887. What is the nearest to i in -0.5, 0.7, 22\/7?\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrjjjrj. What is prob of picking 1 r and 1 j?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (98052\/(-60))\/(2\/(-10)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -359, -775, -1287, -1907, -2647, -3519, -4535, -5707?\nAnswer: -7047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*j + 2*j**2 - 3*j**3 + 11*j)*(16 + 11 - 6).\nAnswer: -63*j**3 + 42*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**5 - 3776*p**4 - 1065856*p**3 - 82467840*p**2 - 1907942400*p.\nAnswer: -4*p*(p + 52)**2*(p + 420)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 19744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**0*s**(-2))**31)**(-1\/4) assuming s is positive.\nAnswer: s**(31\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -8303?\nAnswer: 82fe","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of 4*k**2 + 209. Let c = -16 - -18. Let u(o) = -4*o + 25*o**2 - 32*o**c + 4*o. Calculate u(a(b)).\nAnswer: -448*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -137, 913, -4 in decreasing order.\nAnswer: 913, 11, -4, -137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -1 - 2) + 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -0*t - 2*t - 152, 0 = 5*h - 3*t - 153. What is the remainder when 3866 is divided by h?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5 - (-8 + (-5 + -8247 - 8)).\nAnswer: 8273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - 0. Suppose -4*b + 15 - 7 = f. Solve -b*h = -h + 4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 4:51 AM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -113*j. Let x(v) = -194*v**2 + 2*v - 21. Give m(x(g)).\nAnswer: 21922*g**2 - 226*g + 2373","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6605015 to the nearest integer?\nAnswer: 2570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sn when two letters picked without replacement from {n: 2, s: 10}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 - -17.77. Let m = -0.23034 - v. What is m rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-13)\/(l\/((l*(l**4*l)\/l)\/l))*(l**(-6\/7)*l)**8)**26 assuming l is positive.\nAnswer: l**(-1612\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-468)\/910)\/(6*(-3)\/(-42)))\/(6\/345).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12445 + -12445. Let c(z) = -z**3 + z**2 + 3*z + 2. Let n be c(-3). What is the third smallest value in -4, a, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + 21*j**2 + 54*j - 90. Is m(22) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.58 and 1.9.\nAnswer: 1.102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 34.18 times -0.3\nAnswer: -10.254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1356619\/580 at most as big as 2339?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of -f**3\/3 + f - 3451. Let j(m) = -m**3 - m**2 + 6*m**2 + 2*m**2 - 7. What is 21*b(y) + 3*j(y)?\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -377363272 divided by 13\nAnswer: -29027944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 829.1079 kilometers in centimeters?\nAnswer: 82910790","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q. Let l(s) = 5*s. Let o(d) = 6*g(d) + l(d). Let p(k) be the second derivative of k**4\/6 - 7*k. Give o(p(y)).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2250735*q**2 - 1101158*q wrt q?\nAnswer: 4501470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10001 (base 2) to base 11.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - 9*g**2 + 12*g - 1. Let u be x(8). Suppose -3*l + u = b, 2*l - 2 - 4 = 3*b. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 24*d**2 - 106*d - 10. Give s(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/32253 and 31\/585.\nAnswer: 483795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 < -32629?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 21*f = 126. Which is greater: 11 or f?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*y + 4*x - 18, 2*y + x = 7. Let t be (-38)\/(-14) - (-16)\/56. Suppose -4*f + t = -0*f - 5*l, 2*f = -3*l - 15. Sort -8, 4, f, y in decreasing order.\nAnswer: 4, y, f, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -39 + 45. Suppose -6*j + b = -0*j. What is the greatest common factor of j and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15676 - 15647. Calculate the greatest common divisor of 2059 and r.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 8*w**2 - 22*w. Let j(n) = -57338*n. Determine z(j(m)).\nAnswer: 26301169952*m**2 + 1261436*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 2*y**2\/11 + 5394*y\/11 + 2944240\/11 = 0?\nAnswer: -1937, -760","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -73 + 110cb?\nAnswer: 11058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*u - 17*u + 2*u + (0 + 0 - 3*u)*(1 - 2 - 2) + (u - 3 + 3)*(3 + 1 - 6).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -463 (base 16) to base 10.\nAnswer: -1123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1359 is divided by 350?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 take away 541?\nAnswer: -541.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*d**2 - 16\/7*d + 32\/7.\nAnswer: 2*(d - 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8\/3, -3\/4, -325.14?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 26*g**3 + 418*g**2 + 34*g + 38. Give w(-16).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 515*m - 198. What is the tens digit of g(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**2\/b)\/b*b*b**4*(b*(b*(b*b*(b\/(b*b**11)*b)\/b)\/b)\/b)\/(b\/b**(-4\/3)))**(11\/7) assuming b is positive.\nAnswer: b**(-209\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3*u**2 + 1. Let f be b(1). Let z(p) = -5*p + 2. Let k be z(6). Is (k\/(-8))\/(f\/(-20)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -127*f + 1411. Calculate the least common multiple of b(6) and 649.\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + -6)\/(4*1\/(-22)). Let o = f + -40. Solve -3*p + 5*k = 3*k + 4, 0 = -5*p + o*k - 10 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/(-4)*-1*-4. Let z be 7\/28 + 14\/8. Suppose -5*k + z*a - 3 = -21, -5*k = 4*a - 24. Solve k*c = i*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 + 22 - 81 - 23*u**2 + 19 + 13*u**2 + 13*u**2.\nAnswer: 3*u**2 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -103164116994 + -295?\nAnswer: -103164117289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3527 is divided by 72?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.11? (a) -65 (b) -1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**3 - 212*r**2 + 1842*r + 2052 = 0. What is r?\nAnswer: -114, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/5 or 68339\/7?\nAnswer: 68339\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 29*f - 31*f. Suppose 0*k - 6*k**f - 4 + 3*k**2 + 7*k**2 + 4*k**3 - 4*k = 0. What is k?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5963 + 3.3305589\nAnswer: 5966.3305589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or 25366319?\nAnswer: 25366319","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 61592\/9 + -6851. Let f = -1921\/26852 + -1\/196. Calculate the common denominator of l and f.\nAnswer: 2466","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/32*(-82)\/(-205)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(19) - (sqrt(19) + sqrt(114)\/sqrt(6))) + -2 - (sqrt(1539) + (sqrt(1539) + (sqrt(1539) - (sqrt(1539) + sqrt(1539)*-3)) - sqrt(1539)) + 3)**2.\nAnswer: -24631 - 217*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 3*n**2 - 1 + (2*n - n - 3*n)*(3*n + n - 2*n) - 6*n - 897*n**2 - 2*n + 7*n.\nAnswer: -898*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 303?\nAnswer: -313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 - 8*m + 9. Let t be w(7). Suppose 0 = 3*i - i - t. Suppose q = 3*q + 2. Put i, 0, q in ascending order.\nAnswer: q, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*g - 2. Let i(l) = 3*l**2 + 2*l**g - 7*l**2. Let z(a) = 5*a + 3. Let r(f) = -4*f - 2. Let o(n) = 3*r(n) + 2*z(n). Calculate o(i(y)).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 50 - 48. Which is smaller: w or 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -0*t - 2*t + 20, -f = -5. Suppose q + t*k = 6, -54 = -4*q - 16*k + 11*k. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**5*r)\/r**(7\/5)*r\/r**(-15)*r*r*r**(6\/11) assuming r is positive.\nAnswer: r**(1273\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13043 or -11997?\nAnswer: -13043","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 3 = s. Let k = -1 - -3. Suppose 5*q = -r - 22, q - 5*r + 14 = -2*r. Sort k, q, s in ascending order.\nAnswer: q, s, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.23, -0.1, 1, 7.87, -8, 0.2?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 754\/24*(-10 - -25). Let z = 471 - n. Let k be 6\/30 + (-4)\/45. Sort -0.2, 5, z, k in decreasing order.\nAnswer: 5, k, -0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + 24241?\nAnswer: 24245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 15*m = 0. Let v(i) = i**2 - i. Let o be v(2). Suppose 0*y = o*y + t - 7, 2*t = 6. Sort m, -3, y in descending order.\nAnswer: y, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 13365, 4 in decreasing order.\nAnswer: 13365, 4, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -13 + -283?\nAnswer: -296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1300)\/(-500)*(8\/8 - (-3 + -1)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of k**4\/3 + k**3\/3 - k**2\/2 - 8*k. Let c be (-1 - 0) + (-6)\/(-3). What is the units digit of z(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11441 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46491.\nAnswer: 3, 15497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -231.0001236 - -231. Round r to five dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -6*z**3 + 3*z**2 - 3*z + 34. Let s(m) = 2*m**3 - m**2 + m - 11. Determine -2*a(r) - 7*s(r).\nAnswer: -2*r**3 + r**2 - r + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 810 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 118237?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**3)**(-44) assuming p is positive.\nAnswer: p**(-132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15044 - 124?\nAnswer: 14520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.52 + -0.2. Let l = -0.08 - o. What is the nearest to -0.1 in l, 0.3, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1115668.581 + 0.05.\nAnswer: -1115668.531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 137983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 17. Suppose t*u - 4*u = -4. Put -0.2, 1\/10, u in ascending order.\nAnswer: u, -0.2, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9203 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-265)\/(-901)*1?\nAnswer: -5\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 5*z = -3*l + 710, -4*z + 2*l + 1436 = 0. Suppose -5*c + 2*k - 6*k = -z, -5*c - k = -367. What is the remainder when c is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 9450?\nAnswer: 18900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-30)*(-11730)\/184*(-8)\/(-34)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/13 - (-2790)\/234. Calculate the greatest common factor of z and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120035.8113 rounded to the nearest ten?\nAnswer: 120040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177111 is divided by 241?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -135272*z**2 + 4*z - 1606142 with respect to z.\nAnswer: -270544*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1781 + 591. List the prime factors of n.\nAnswer: 2, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) 3130 (c) -3\/4 (d) 16\/9 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 92285, 184572, 276859, 369146, 461433?\nAnswer: 553720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 23302 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 + -13. Let w = -6 + l. Let t = w - 4. Put -1\/8, 3, t in decreasing order.\nAnswer: 3, t, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13.9704 - -0.1504. Let u = c - -14. Let v = u - -0.46. Round v to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a meter in millimeters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1235 and 12796615.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 + 7*p + 7. Let r be q(-7). Sort 3, -3, 4, r in decreasing order.\nAnswer: r, 4, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605)\/(sqrt(11)*2))\/sqrt(5).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of -7*h**6\/24 + 151*h**5\/60 - 163*h**2. What is the third derivative of s(o) wrt o?\nAnswer: -210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/3 - 154*c\/3 + 152\/3.\nAnswer: 2*(c - 76)*(c - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/7 (b) -5 (c) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -11, -1\/4 in ascending order.\nAnswer: -11, -0.3, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k**3 - 3*k**2 + 5*k. Let z be v(0). Solve z = 5*h - 3*o + 7, -4*h - 2 - 5 = -o for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/12 - 336\/224. What is the nearest to q in 1, -9\/5, 2.3, -5?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 81281200 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (42\/56)\/((-14)\/(-8))\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 7*h - 270. Determine a(41).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of h**2*z - 88156*h**2 - h*z**2 - 1618*h*z + 3*z wrt z?\nAnswer: h**2 - 2*h*z - 1618*h + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*w**3 + 41*w - 81*w + 34*w wrt w?\nAnswer: -66*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 363094 and 216124.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8723 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -153153 + 13514?\nAnswer: -135235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*c**6 + 3*c**4 + 83*c**2 + 2?\nAnswer: 720*c**3 + 72*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6090380.\nAnswer: 2, 5, 71, 4289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)*-2*-4)\/(sqrt(360)\/(sqrt(8) - (sqrt(8) + 2*sqrt(8))))*5.\nAnswer: -80*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3565188.\nAnswer: 2, 3, 11, 3001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/45758727 and -34\/3599001?\nAnswer: 320311089","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-63))\/((-612)\/(-107100))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m. Let o(w) = -2*w**2 - 6*w + 2. Let g be o(-3). Let z(c) = 3*c**2 + g*c**2 - 3*c**2 - 3*c**2. Give b(z(h)).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(2\/13))\/k**(1\/4)*k\/(k\/k**(-1))*(k**(-4\/3)*k)\/k)**(-7) assuming k is positive.\nAnswer: k**(1561\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/15 in 57.6, 6, -212\/11, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 393 minutes after 10:40 AM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Solve -1989*i + 45184 - 4256 = -710*i for i.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-55)\/44*(-2)\/(-5).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 o when three letters picked without replacement from {o: 5, n: 15}?\nAnswer: 35\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -119140500 divided by 4.\nAnswer: -29785125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-47880)\/112*4\/(-6). What is the greatest common factor of l and 228?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 0.8 (c) -5 (d) -2\/63\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1071283184?\nAnswer: 2, 66955199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15 is divided by (-4 + -2)\/(-1) + 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -60 - -63. Let k be (r\/(-8))\/(153\/(-204)). Find p such that -p + 1\/2*p**2 + k*p**3 + 0 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of -5*t**4\/4 - 20*t**3\/3 + 398. What is x in k(x) = 0?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {w: 1, c: 1, q: 7}?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 AM and 6:49 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 3 - 4)*(0*k - 2*k + k)*(64*k**2 + 26*k + 34*k - 62*k) as i + w*k + v*k**3 + d*k**2 and give v.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1048*q**5 - 6781*q**4 - 5026*q**2 - 1624*q - 6 wrt q?\nAnswer: -62880*q**2 - 162744*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 9:44 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*n*v**4 + 74941*n*v**3 - 89252*n*v + 14*v wrt v?\nAnswer: -132*n*v**2 + 449646*n*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34 and 1972?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -6 (b) -1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 436663912?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1028763 or -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 24421343.\nAnswer: -1\/24421343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1101 + -12011?\nAnswer: -20112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1589324 >= -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 38*j - 2. Let g be u(1). Suppose -3*p = t - g, -4*t + 37 = 2*p + t. Suppose 0 = -z - 3*x + 11, 7*z - 21 = 4*z - 3*x. Solve z*l = -1 + p for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9220 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 times 166\nAnswer: 11.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -3*h**3 + 2*h - 1. Let l be m(1). Let c be (l + (0 - 0))\/1. Let u be c\/(-4 + (0 - -2)). Solve -1 - u = -2*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.24925689 to 4 dps.\nAnswer: -0.2493","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 9*i. Let o(r) be the first derivative of -3*r**2 - 219. Determine o(m(p)).\nAnswer: -54*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -k - 3*g, -g - 2*g = 2*k - 16. Suppose 0 - k = -u. Let b be (-1 - -2)*u\/(-1). Sort 5, -2\/13, b in increasing order.\nAnswer: b, -2\/13, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -s**5 + 56*s**4 - 12*s**2 wrt s?\nAnswer: -60*s**2 + 1344*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**3 + 2*b**3 + b**2 + 95 - 101 to y + j*b**2 + a*b**3 + h*b and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -702b53 - -4?\nAnswer: -702b4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 10:03 PM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3981503?\nAnswer: 3981503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**8*m*m**(-4\/9) assuming m is positive.\nAnswer: m**(77\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1064491 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -344 + 333.6. Which is the third biggest value? (a) -0.1 (b) -3\/4 (c) 1\/2 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -242? (a) -0.02 (b) -0.2 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59460?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, x: 12, d: 5}. Give prob of picking 1 d and 2 v.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t**2 + t + 3. Let o be m(2). Is (o + -11)*-1 + -1 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - 10*m. Let o(t) = -t + 1. Let y(v) = -4*o(v) + w(v). Let r(k) = -k**3 - 6*k**2 + 7*k + 2. Let q be r(-7). Suppose -q*c + 5*c = -12. Give y(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of (4 - 8)\/((-2)\/1566)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d + 1. Suppose 0 = 4*f - 5*f + 1. Let m be 0*(f + (-6)\/9). Give n(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -364*j + 903781 - 883033 for j.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 27028, 27027, 27026?\n\"Answer: -b + 27029","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*(39\/(-9) + 5). Solve r - n*m - 9 = 0, 0*r - 3*r + 7 = -2*m for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.4, 4, -32224.6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dypy when four letters picked without replacement from {r: 1, w: 2, o: 2, y: 3, d: 1, p: 3}.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -371830*y + 743665. Give r(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -27*s + 41. Let i(a) be the first derivative of 27*a**2 - 80*a - 3. Let j(m) = -5*c(m) - 3*i(m). Differentiate j(q) wrt q.\nAnswer: -27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 6221403?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -8, 142, 8, 4 in decreasing order.\nAnswer: 142, 8, 4, 3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*y**2 - 2\/3 + 0*y.\nAnswer: 2*(y - 1)*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 1) + 7 + 10 + -12\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*j**3 + 4468*j**2 - 1784*j.\nAnswer: -4*j*(j - 223)*(5*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of -4*i**2 - 2\/3*i**3 - 29*i - 47. Differentiate n(l) with respect to l.\nAnswer: -4*l - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.035*3.7\nAnswer: -3.8295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 16489 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1785 divided by -85?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of -5*p**3\/3 - 21*p**2\/2 + 8*p - 5701. What is j(-5)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1022223 rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1408\/1232*350\/(-20).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9121 to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 5*s - 1525820 = 0. Let v = -438164 + s. Round v to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52369.\nAnswer: 52369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -42*c + 37*c + 30 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/(f\/((f*f*f\/f**(-15))\/f)))\/(f*f*f*f**(-6))*f**(-2\/33)*f*f*f\/((f**(-1\/6)\/f*f)\/f))**(-11) assuming f is positive.\nAnswer: f**(-1657\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 7:23 PM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 AM and 2:22 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 5*p**2 - 8*p - 3. Let z(a) = -4*a**2 + 8*a + 4. Let r(c) = -3*y(c) - 4*z(c). Let o be r(-10). Is 1 + o + 2 + 1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.17 + -7.83. Suppose 22*w + 99 - 11 = 0. Let h be 1\/8*w*-2. What is the third smallest value in h, 0.4, l?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-3)*1 + 152\/12. Let f be -1*l\/(-27)*-3. Which is the third smallest value? (a) 0.4 (b) f (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2675 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -245522, -244750, -242648, -238550, -231790, -221702, -207620?\nAnswer: -188878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 1\/3, 3\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -19*y + 2. Let l(s) = 10*s - 1. Let w(k) = -6*d(k) - 11*l(k). Let v(n) = -n**3 - 12*n**2 + 2*n + 29. Let r be v(-12). Determine w(r).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of j**3\/3 + 5*j**2\/2 + 5*j + 3. Let r(n) = -17*n - 1. Let o be r(-1). Let z = 11 - o. Determine u(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + 8*p. Let z(l) = 2*l**3 + l**2 + l + 16. Let w be z(0). Let k be -3*(-4)\/w - (-42)\/8. Let c(r) = -7*r. What is k*c(n) + 5*m(n)?\nAnswer: 5*n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 + 54516\/882 + -23?\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18636.5236 rounded to the nearest 100?\nAnswer: -18600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 17764*0.4\nAnswer: 7105.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 + 48 = 9*d. Suppose 3*s = -4*k + s + d, -4*s = 2*k + 8. Solve -4*a = 5*u + 20 - 61, -5*a = -k*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16.6 + 17. Let z = 13 - 23. Let o = 10 + z. Put p, 2\/23, o in increasing order.\nAnswer: o, 2\/23, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1325 = -5*i - 3*m, -1102*i + 1106*i + 4*m - 1052 = 0. Calculate the highest common divisor of i and 3551.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6 + 6 - (20 - 1). Let g = 17 + f. Let q be 42\/8 + 12\/16. Put -1, q, g in ascending order.\nAnswer: g, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -106*h**2 + 211*h + 3. What is w(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8436 - -8350) + (-1 - -113).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -3*s + 48. Let q(i) = i - 23. Calculate -6*o(h) - 15*q(h).\nAnswer: 3*h + 57","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q**3 + 5*q**2 + 2*q + 5. Let m(z) = z**3 - 2*z**2 - z - 2. Let n(g) = -2*b(g) - 5*m(g). Let j = 5 - 3. Suppose j*v = -2*v - 8. What is n(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 2*c = 150145, w = 3*c - 4*c + 30029. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m + 0*m - 2*m + (47*m + 26*m - 2*m)*(3 - 6 + 2).\nAnswer: -73*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/(-2) + 159\/30 and 127\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7.1 and -144.\nAnswer: 1022.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = 6*z - 23. Suppose 0 = 5*c - 3*c. Let t be (z - -3)*1*c. Solve 2*q - 3*h - h - 2 = 0, t = -2*q - 2*h + 14 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g + 10. Let o be (-3 + (-80)\/(-24))*(25 + 2). Calculate v(o).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 174253699 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(102)*2*4 - sqrt(102))\/(sqrt(864)*1))**2.\nAnswer: 833\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-14) + (-13)\/(-28).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + 217068 + -1 - 0. Suppose 0*t - 1697592 = -6*t. Let w = t + b. Round w to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 y when two letters picked without replacement from bbbbbbbybbbbb?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -m + 34, 4*m = -0*b + 5*b + 52. Let g be ((-42)\/b)\/((-2)\/4). Is 234\/14 - 2\/g a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-10)*o)**(-1\/6)*(o*o**(-4\/17)*o)\/(o\/(o\/o**(-5\/3))) assuming o is positive.\nAnswer: o**(81\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*w = 77*w - 83*w + 1127 for w.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3755\/2 + -1877. What is the third biggest value in h, -24, 16?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a82300 - 3?\nAnswer: 1a822a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 5813614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*((sqrt(190) - (sqrt(190) - -1*sqrt(190))) + sqrt(190)) - (-1*-2*sqrt(190) - sqrt(190)))\/(sqrt(40)\/((sqrt(64)\/sqrt(4))\/sqrt(4))) + -2)**2.\nAnswer: 4*sqrt(19) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(162) - (sqrt(162) + -2 + -2 + sqrt(162))) + 1 + sqrt(162) + 1 + -3).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m - 6. Let s be t(-5). Suppose 5*b = -5*f - 5, 5*f = -s*b + b + 5. Suppose -2*o = -f*o. Solve a = 5*r - o*r + 5, 3*r + 20 = 4*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 7*h. Let x(m) = 50*m**2 - 759. Give x(c(t)).\nAnswer: 2450*t**2 - 759","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.033 - -0.03381. What is h rounded to 4 dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-394*d + 329 - 329)*(-3 + 3*d**2 - 5*d**2 + 4*d**2).\nAnswer: -788*d**3 + 1182*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 23 = -33. What is the remainder when -28 + (19 - (29 + -68)) is divided by y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10*k**3 + 22*k**2 + 2*k - 431?\nAnswer: -30*k**2 + 44*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 65263991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 171.1*-0.3.\nAnswer: -51.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 10*q - 17. Let b(j) = -20*j + 36. Let p(n) = -6*b(n) - 13*y(n). Calculate p(3).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 45 = 3*v, 5*r = -0*v - 4*v + 33. Let x = -4 + v. Is 8 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a century in years?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -139? (a) -0.07 (b) 0 (c) 1.4 (d) -4 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sjj when three letters picked without replacement from {s: 6, j: 4}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 714ba5 - -2?\nAnswer: 714ba7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 1, 0.098, 0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -6, -18, -46, -96, -174, -286?\nAnswer: -438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 - 10. Suppose u - 2*z - 21 = -i, 0 = 3*u - 3*z - 48. Let t = u - 16. Solve 3*v + p = 3 + 1, t*p + 2 = -v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yxywyyxyo. Give prob of picking 1 y and 1 o.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001226273933 rounded to 5 dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.29 - 18.29. Let f = l - -18.1. Let p = 8 - 7.7. Which is the nearest to f? (a) 2 (b) 0.1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8163\/10 or 817?\nAnswer: 817","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*q - 20*q = 18. Suppose -2*b = b - m - 3494, -4*b - q*m = -4637. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11577792, -46311166, -104200122, -185244660, -289444780, -416800482?\nAnswer: -567311766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -3\/5, 2, 13.\nAnswer: -3\/5, -0.4, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = w + 3*u - 138, 316 = 4*w - 4*u. Let p be 1362\/54 + 4\/(-18). What is the highest common divisor of w and p?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 3*j + 124. Let x be -12*4 - (-1 + -2). Let g = j - x. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1021 - 818. Calculate the highest common factor of c and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-96)\/112)\/3*(-12)\/16.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 + 58*n**2 + 51*n - 343. Is g(-34) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -3 (b) 3\/5 (c) 1 (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 104 - 101. Let 6045*g + 3*g**2 - 6045*g - 4 + g**x = 0. Calculate g.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 140\/1435*14\/(-28)?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuucuu. Give prob of picking 4 u.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 11 + -26 + 3 + -2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wsmctjwj. What is prob of sequence stwm?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 37?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 1656.33737 and 17.\nAnswer: 1673.33737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/7 - (-21331)\/(-2905). Let w be 8\/(-10)*(0 - 5). Let d be (-11)\/(-22) - 30\/w. Which is smaller: s or d?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2920 is divided by 71.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - 9*g**2 + 16*g + 9. Let j be q(8). Let h = 77 - j. Let f be (h - 0)\/(-1) - (-14)\/2. Sort f, 1, -4, 4.\nAnswer: -4, 1, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 + 82 = -18*f - 56 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 10*k + 8*k = -14, -5*k = s + 1. Suppose s*m + 4*l = -16, 10*m = 11*m - 4*l - 16. Which is smaller: 8\/135 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8580448 and 297184?\nAnswer: 1184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 11. Let u = 3 - f. Suppose 3*v + 5*x - 11 = 0, v + 0*x + u = 3*x. What is the highest common factor of 2 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.77969 + 0.07969. What is the closest to -1\/4 in -9, 1, i, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 7*g**2 + 8. Calculate t(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 49 and 70.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1303310941 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jnjnqjqnnnnnjnqnene. Give prob of sequence qjjn.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 + 6*d**2 - 7*d + 2. Let o = 62 - 26. Suppose 4*b - 4*y - o = 0, 5*b = -2*y + 4*y + 33. What is m(b)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.07140748 to 3 decimal places.\nAnswer: 0.071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0137187 to 4 dps.\nAnswer: -0.0137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/12*32\/(-3). Let v(f) = -f**2 - 59*f - 857. Let k be v(-25). Sort l, -2\/17, k in ascending order.\nAnswer: k, -2\/17, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -62 + ((-4)\/12)\/((-2)\/(-6)). Let h = -59 - p. Suppose 0 = -5*g - h*f + 693, 0*f = 3*g - 2*f - 407. List the prime factors of g.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*r + 5*z, -5*r - 20 = -10*r + 2*z. Solve -2*m + 0*m + r = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*a - 39*a + 175 = 0. Suppose -a = 6*p - 565. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9058 to the power of 1\/2, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 - 12*k - 27. Let g be d(-9). Put -3, g, 5, 2 in increasing order.\nAnswer: -3, g, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1 and -48833271062918.\nAnswer: -48833271062917.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -2*x + 2. Suppose -6*i = -3*i - x*w, -4*w + 12 = 0. Calculate the lowest common multiple of i and 7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -243, 398, 1451, 2910, 4769, 7022, 9663?\nAnswer: 12686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 8*k**3 - 12*k**2 - 70. Let l(w) = -7*w**3 + 8*w**2 + w + 71. Suppose 7*q = 29 - 15. Let v(y) = q*g(y) + 3*l(y). What is the derivative of v(n) wrt n?\nAnswer: -15*n**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.094002 to two decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*n - 8*n - 282. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a + 4 = 34. Solve -3*d + 7*d = -a*s + 19, -2*d = -s + 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 17, q: 1}. Give prob of sequence qdd.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-10\/7)\/((p*p*p*p\/p**(1\/4)*p)\/p))**(3\/13) assuming p is positive.\nAnswer: p**(-435\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 14c9 - -4bb?\nAnswer: 19b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 48*j + 21. Let n be (-3 + 48\/9)\/((-3)\/(-27)). What are the prime factors of v(n)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k**2 - 78510*k - 11278825 = 0 for k.\nAnswer: -15557, -145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (260\/975)\/(6\/5).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2200 - 21?\nAnswer: 2102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4\/2*2\/(-2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20 - -21) + -9 + 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-1\/10)\/d)\/d*d*d\/(d\/(d*d*d**(-1\/4)))*d*d*(d*(d**(-5)\/d)\/d)\/d*d\/(d*d*(d**(3\/5)*d)\/d) assuming d is positive.\nAnswer: d**(-99\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 26, -104, -464, -1156, -2282?\nAnswer: -3944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13442 divided by -13077?\nAnswer: -13442\/13077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -129 (c) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of -j**5\/40 + 11*j**3\/6 - 12*j. Let k(n) be the second derivative of w(n). Let a(y) = y. Give k(a(v)).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.39+65\nAnswer: 65.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -2.6. Let r(w) = w**3 + 8*w**2 + 5*w + 6. Let t be r(-7). Suppose 0 = -18*u + t*u - 2. What is the nearest to u in h, 4\/9, 3?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2583 and -5.\nAnswer: -2588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2199674121.\nAnswer: 3, 997, 735431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*o**4 + 52*o**3 + 184*o**2 + 128*o = 0. Calculate o.\nAnswer: -2, -1, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/18 and -74\/30391449.\nAnswer: 182348694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3333 by -3.\nAnswer: -1111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -7*h**2 - 351*h + 14. Calculate the remainder when 442 is divided by c(-50).\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4796621 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 956874?\nAnswer: 2, 3, 101, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 11*o = -57*o + 650 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + 73a7a83?\nAnswer: 73a7a82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -181731 + 181831. Suppose -1348 = -3*a + m, 2*m - 84 + 980 = 2*a. What is the greatest common divisor of a and q?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 5*d**2 - 5*d. Let l(u) = u**3 + 34*u**2 - 105*u + 216. Let t be l(-37). Let j(i) = 4*i**2 - 4*i. Give t*j(v) + 5*p(v).\nAnswer: v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (88 + 57 - 813)*(-18*n - 4*n + 49*n).\nAnswer: -18036*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 152070114?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/96 + (-25)\/8. Let v(z) = -2*z**3 - 5*z**2 + 4*z + 5. Let k be v(r). Let d be (-2)\/(-3)*(42\/6 + -1). Calculate the greatest common factor of d and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17905*r - 18066*r - 14584 + 3153 = 0 for r.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/237 (b) 0.4 (c) 0.3 (d) 5 (e) -0.6 (f) 14\/5 (g) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -32, -79, -146, -233, -340?\nAnswer: -467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 324 and 180.\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 68 (b) -1\/2 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) -0.8 (b) 5 (c) -3\/7 (d) -1.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i = -8 - 16. What is the smallest common multiple of ((-6)\/3)\/((-1)\/18) and i?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 5*d = 5, -c = 2*c - 2*d + 2. Solve -4*v + 13 + 2 = -5*r, c = -5*v + 4*r + 12 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 5:44 PM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-7)\/2)\/((-3)\/6). Suppose -2*o - 3*h = -s*o, 2*o + 2*h + 16 = 0. Let m(p) = 3801*p + 3. Let y be m(o). What is y rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -142 + 145. Factor 0 + 0*f - 1\/3*f**v + 1\/3*f**4 - 2\/3*f**2.\nAnswer: f**2*(f - 2)*(f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 181 - c - 80 + c - 5*c**2 + 4*c**2. Let w(t) = -2*t**2. Determine v(w(x)).\nAnswer: -4*x**4 + 101","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.6 - 0. Let i = -0.4 - a. Let c = 1 - i. What is the smallest value in -2, c, -0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + 48\/(-6) + 7. Let u = 241 - 155. What is the lowest common multiple of 62\/279 + (-52)\/(-9) + f and u?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (-22 - (-12 + (-4 - -7)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90068.\nAnswer: 2, 11, 23, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 164*t**2 - 16*t - 3. Let i be a(-13). Let k = 10748 + i. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 1, 2, -5, 4, -6, 15.\nAnswer: -13, -6, -5, 1, 2, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3348581*v**3 + v**2 - 4*v - 590654 wrt v?\nAnswer: -20091486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -12, -14, -16, -18?\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (30 - 17 - (0 + 6))*86\/161. Is 4 smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 23*w**2 - 304*w - 69. What is g(14)?\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6b - -3?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1 - 2223\/1520) + 1\/16)*60.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 11394348?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 42037 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**3\/11 - 2482*k**2\/11 + 9952*k\/11 - 9960\/11 = 0.\nAnswer: -1245, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 26\/(-6) + (-4)\/6. Let j = 236.6 + -247. Let q = -10.1 - j. Which is the third smallest value? (a) q (b) 0 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.02 - 0.02. Let k = 0 - 3. Let q be 9\/(-3)*k\/63. What is the second smallest value in t, q, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -123.142011 and 4.\nAnswer: -492.568044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.13 - -0.17. Let v be ((-2)\/(-12))\/((-1)\/2). What is the biggest value in r, v, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (5 + -1 + 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-4)*(2 - 44\/33)*1. Let t(k) = -3*k**2 - 2*k - 1. Let l(c) = 8*c + 0*c + 8*c**2 + 1 - 2*c + 2. Let u(a) = -6*l(a) - 17*t(a). What is u(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 + -160. Let z = c + 300. What are the prime factors of z?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 19*a + 162 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*f**3*h**2 - f**3*h - 15*f**3*v**2 - 7*f*h**2*v + 2*f + 2*h*v**2 - v wrt f?\nAnswer: -24*f*h**2 - 6*f*h - 90*f*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3047477189 minus 664?\nAnswer: -662.6952522811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26 - 20. Let f(h) be the second derivative of 0 + 0*h**2 + 0*h**4 - 1\/15*h**q - 1\/6*h**3 + 0*h**5 - 2*h. Find the second derivative of f(v) wrt v.\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6117 and -0.198416203?\nAnswer: 6116.801583797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -2 + -1 + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bo when two letters picked without replacement from zzbbzzouz?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-90))\/(105*(-201)\/168840)?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/43 (b) -2\/13 (c) -4 (d) -0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -142*i**2 + 20*i - 21. Let u(k) = -46*k**2 + 7*k - 8. Calculate -3*f(d) + 8*u(d).\nAnswer: 58*d**2 - 4*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g\/(g**(-10)*g))*g)**(4\/31) assuming g is positive.\nAnswer: g**(-28\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1222212101 (base 3) in base 5?\nAnswer: 2224033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 277000 rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 21948433\/9 at least 2438716?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -84.67 - -83. Round z to 0 dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -0.143913.\nAnswer: -0.719565","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 4:50 PM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2799465485?\nAnswer: 5, 757, 739621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 176\/305 (b) 2\/13 (c) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + 2*p**2 - 10*p + 4. Let l be h(-5). Let f be (-2)\/(-7) + (-99)\/l. Let r be 0 - -1 - 27\/(-3). Solve r*n - f*n = -25 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/5 (b) -0.5 (c) -2\/3 (d) 1\/6 (e) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ifz when three letters picked without replacement from {i: 1, s: 2, f: 2, d: 1, z: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2180 (base 9) to base 11.\nAnswer: -1235","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of -5*o**4\/4 - 18*o**2 - 22*o. What is the derivative of r(c) wrt c?\nAnswer: -30*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 4*k, 2*m - 6*k = -k + 3. Solve -2 = -2*b + m for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182*r - 237 + 55 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 291453485 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -1\/3, -2, -3\/1439, 3.7, 1.1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 10 = 58. Let i = w - -5. Which is the second smallest value? (a) i (b) 1\/3 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*m**5 + 4653*m**4 - 35577*m**3 + 33879*m**2 + 49356*m - 24732 = 0 for m.\nAnswer: -229, -1, 3\/7, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 PM and 9:44 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -307, -606, -905, -1204, -1503, -1802?\n\"Answer: -299*o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 354 is divided by 117?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r - 13. Let m be p(-11). Let g(w) = -w**2 + 2*w + 3. Let u be g(-2). Which is the third smallest value? (a) 2\/7 (b) u (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 183506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 105.9898 - 106. What is h rounded to three dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ev when two letters picked without replacement from {w: 6, e: 3, h: 1, v: 2}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -4*h**2 + 28*h + 2. Let o be -6*-6*8\/36 + -1. Let m be l(o). Solve 2*k - 18 = -3*n - n, -3*k - m*n = -11 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 PM and 7:30 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 109763, 112882, 116001, 119120?\nAnswer: 122239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.4913 + 39.5087. Is 3.3 greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 924554?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 r when three letters picked without replacement from {p: 3, r: 7}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*r**2 + 141*r**2 - 43*r**2 - 52*r**2.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/1 + (-22436)\/(-1420)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -384623*v + 175969 wrt v.\nAnswer: -384623","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -5*s + 24, 5*a - s - s = -28 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of -u**8\/13440 - u**7\/3360 + u**6\/240 + u**5\/60 + u**2. Let p(b) be the third derivative of v(b). Solve p(s) = 0 for s.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 22 + (-2)\/((-4)\/6). Suppose 2*r + n = 7*r. Suppose -r*p + 2 = g - 0*p, -4*p + 1 = g. Which is smaller: -2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14997603 + -12962525. Let y = -74531850 - -114091978. Let p = y + x. What is p rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -18085 greater than -18087?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, t: 1, x: 2, n: 1}. What is prob of sequence xkxt?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 + 2*l + 2. Let x(y) be the first derivative of 16 - y**3 + 5\/2*y**2 + 5*y. Calculate 5*d(c) - 2*x(c).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*z - 176 - 272 + 91 = 0 for z.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 + 3*t - 7. Let p be s(-5). Suppose 2*a - 5*a = -2*q + 15, -4*q = 4*a. What is the greatest common factor of p and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seventeen quarters of a millennium?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of y**4\/30 + y**3\/5 + 2*y**2\/5 - 8*y. Determine f, given that x(f) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 173, 171, 169, 167?\n\"Answer: -2*t + 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1480, -1498, -1516?\nAnswer: -1534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 30.54, 0.5, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*q + 4*q + 1027 - 39*q - q + 6*q.\nAnswer: -16*q + 1027","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -4*s. Let c(y) = -y**3 - 7*y**2 - 6*y + 6. Let n be c(-6). Suppose w = 5*o + 14 + 13, 2*o + 1 = -w. Let h(u) = -n*u + u + w*u. What is h(r(i))?\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1997062 or 0.1?\nAnswer: 1997062","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s + 17 = 2*a + 2*s, 4*s + 7 = -5*a. What is the common denominator of -81\/4 and 57\/18 - a\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 178646, 714310, 1607086, 2856974, 4463974, 6428086, 8749310?\n\"Answer: 178556*x**2 - 4*x + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 32456749 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 22213 (base 5) to base 7\nAnswer: 4354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.86531 rounded to zero dps?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9*r**3*t**2 + 6*r**3 - 18*r**2 + 2*r*t**2 - 6*r*t wrt t.\nAnswer: 18*r**3*t + 4*r*t - 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 65004 to the power of 1\/2, to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of -1\/2*t**3 - 1\/24*t**4 - 1\/120*t**6 + 1\/60*t**5 + 0*t + 0 - t**2. Calculate h(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -18 and 22149402276.\nAnswer: 22149402258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -168820, -168822, -168824, -168826, -168828?\n\"Answer: -2*y - 168818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 23\/2 - 19\/38. Suppose -4*s = 3*c - 20, c + 2*s - 5*s = v. Solve 6*l = 10*l + c for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 170 + -a?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 3. Let w(b) = b**3 + 13*b**2 + 12*b + 4. Let u be w(-12). Sort -3, 18, u, z in descending order.\nAnswer: 18, u, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddxx when four letters picked without replacement from dbbbxxbddd.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 PM and 3:14 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of o**3 - 5*o**2\/2 - 10*o. Let x be u(2). Suppose -x*i + 330 = -i. Does 11 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 9*b**2. Let f(k) be the second derivative of 11*k**7\/2520 + 13*k**4\/2 + k - 3. Let n(g) be the third derivative of f(g). What is n(c(a))?\nAnswer: 891*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -3*n**3 - 3*n**2 + 3*n + 5. Determine w(-3).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -21*z. Let j(p) be the first derivative of -22*p**3\/3 + 430. What is o(j(t))?\nAnswer: 462*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34 - -59. Let p = 60 + d. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 8 = 0, m - 5*m = -l - 18877346. Let z = l - -40377362. Round z to the nearest 1000000.\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 0 + 4 + 4*k - 4. Let d(j) = -11*j**2. What is d(b(y))?\nAnswer: -176*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 377040001 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -7*t + 5. Let h(j) = -j + 3. Let a(f) = f - 3. Let p(i) = -2*a(i) - 3*h(i). Let x(g) = 5*g - 14. Let s(w) = 9*p(w) - 2*x(w). What is -6*s(k) + z(k)?\nAnswer: -k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*16\/10*(-10)\/(-40)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 573*d**3 - 157 - 2*d - 116 + 273 in the form r*d + s*d**2 + o*d**3 + u and give o.\nAnswer: 573","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -5 + -1 + 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8627401 and 74.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is -774 divided by 774?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 621185 (base 10) to base 13\nAnswer: 189986","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**4\/((t**(2\/3)*t)\/t))\/(t\/(t*t**5)*t**(1\/7)))\/(t*t**(-5)\/t*t*(t\/(t*t*t**(-6)))\/t)**(-8\/3) assuming t is positive.\nAnswer: t**(172\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -952, -2035, -3256, -4615?\n\"Answer: -69*x**2 - 876*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - -14. Let t be -1*i*(-3)\/4. Suppose -2*w - 2*w = -t*r - 41, 4*w - 42 = 2*r. Is w a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 - 14 + 13 = -3*m for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 32163423 to the power of 1\/5, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-27)*3 - (-56)\/6. Calculate the greatest common factor of f and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express r**2 - 2*r + 2*r + (3*r - 2*r + 0*r)*(r + 4*r - 4*r) + 25*r - r**2 + 3*r**2 - 26*r as j + n*r**2 + x*r and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9c - -1?\nAnswer: 9d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 + 9. Suppose 3*x + 2*x - 20 = 0, x = -w - 6. Which is smaller: h or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 71 - (4 + -2 + 1 - 1). Let y = 72 - x. Solve 4*z + 1 = -0*l + l, 3*l - y = 5*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1169401 or 5\/3?\nAnswer: 1169401","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 186795?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 385 by -73.\nAnswer: -385\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7092 = -5*l + q, l + 6*q - 7*q = 1420. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/((-80)\/(-1415))*-4. Suppose -q*n + 564*n - 32 = 0. What is the smallest value in -5\/3, n, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 h when three letters picked without replacement from {h: 15, l: 4}.\nAnswer: 140\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -128, -44, -2 in increasing order.\nAnswer: -128, -44, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from zdzdd.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2120 + 19082\/9. Which is the second smallest value? (a) -3 (b) -0.01 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45206 and 217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -5*n**3 + n**2 - 6*n - 2. Let x(b) = 0 - 14*b**3 - 6 - 18*b - 3*b**2 + 5*b**2. Let t(u) = -17*l(u) + 6*x(u). Determine t(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8865? (a) -0.09 (b) -0.2 (c) -3\/4 (d) -29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -106071 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 205*i - 9760. What is m(47)?\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1)*v**9*(v\/(v*v\/(v\/(v*v*v*v**(-4\/7))*v)))**(-43) assuming v is positive.\nAnswer: v**(486\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/4*275\/(-275))\/((-3)\/90*-1)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 - 40*g - 424. Give k(49).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/f**(1\/7)*f\/f**21*f*f**(-8)*f*(f\/f**(18\/5))\/f*f assuming f is positive.\nAnswer: f**(-971\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) + -2*sqrt(88))*-4)\/((sqrt(392) - -1*sqrt(392)) + sqrt(392)).\nAnswer: 4*sqrt(11)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 6 (b) 0.4 (c) 0.08 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13495.\nAnswer: 5, 2699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -90, -350, -804, -1470, -2366, -3510?\nAnswer: -4920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((30\/(-16))\/5)\/((-24)\/(-16)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2696162 is divided by 3050.\nAnswer: 3012","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4 + 34 = 0. What is the remainder when 87 is divided by k?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -21. Calculate the remainder when 79 is divided by o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -122? (a) -4 (b) -2\/5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 46*q*w**2*z**2 + 240685*q*z**2 + 74*q*z + 4028251*w**2*z**2 wrt w.\nAnswer: 92*q*w*z**2 + 8056502*w*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -165 - -106. Let g = 64 + a. Let p(k) = 54 + 54 + g*k - 108. Let q(f) = -12*f**2. Calculate p(q(s)).\nAnswer: -60*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.09 - -6.09. Let s = 0 + 0. Let w = 351 + -351.1. What is the fourth smallest value in w, -2\/13, c, s?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.14 and -0.5.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 341*r. Let s(u) = 22*u. Let w(p) = 5*g(p) - 77*s(p). Let t(h) = -8*h - 10. Let q(f) = -f - 1. Let m(l) = -10*q(l) + t(l). Calculate m(w(a)).\nAnswer: 22*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3524*a = -3923*a + 2394 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of -45*o**4\/4 + 34*o**3\/3 - 44. What is the third derivative of i(k) wrt k?\nAnswer: -270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooiotoiiitzttto. Give prob of picking 2 i.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1035 greater than -294?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11352 - -4?\nAnswer: 11356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 61*v**2 - 822*v + 392. Calculate p(13).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 71.3 - 80.3. What is the nearest to -2\/9 in -5\/2, n, -2\/11, -2\/13?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w = -u - 3*w - 20, 12 = 2*u + 5*w. Let l = -45639 - -45642. Put -12, u, l, 0 in descending order.\nAnswer: l, 0, u, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 5*g**2 + 22*g - 40. Let u(l) = -3*l**2 - 11*l + 20. Let v(j) = -4*q(j) - 7*u(j). What is the remainder when 11 is divided by v(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/((-2)\/(-1) - 3). Suppose b - 6*b = j. Let m(o) = -o**3 + 14*o**2 + 16*o - 11. Let u be m(15). Sort 1, u, b in ascending order.\nAnswer: b, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 31466562?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 34 = y - 3*y, -2*k = -2*y - 20. Let z = 37 - k. Solve 4*o + 29 = -2*t - t, -z = 5*o + t for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70611 divided by 1?\nAnswer: 70611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/6 + 96\/(-36) + 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 21*q**2*x + 905454*q**2 - 823502690*x wrt q?\nAnswer: 42*q*x + 1810908*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -638 divided by 1.\nAnswer: -638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.07*75.\nAnswer: -5.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4276 + 1744 = 20*u. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - q**2 - 2*q - 1. Let w be b(-1). Let t be (68\/10)\/((-29)\/((-7395)\/34)). Sort -3, t, w, 1 in decreasing order.\nAnswer: t, 1, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 2\/5, -1\/5, -0.02?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*4\/4)\/((-1)\/3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-8))\/((-36)\/8*(-5)\/(-45))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 9549.225s?\nAnswer: 0.0157890625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168*j + 169*j = 5. Suppose j*c = -h + 50, -3*c + 37 + 21 = h. Does 14 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*z + 2*h = -70*z - 10, -123*z + 8*h = -127*z + 8 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 10, -41, -2, 0, -19 in ascending order.\nAnswer: -41, -19, -18, -2, 0, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 + -34 - ((-8 - 1) + -3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 444, 39, -42 in descending order.\nAnswer: 444, 39, 0, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 222, 2, -9 in increasing order.\nAnswer: -9, 0, 2, 222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 12161397 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.098 plus 0.098955026?\nAnswer: 0.000955026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 143499?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -87*i*q - 27*i - 6275*q wrt i.\nAnswer: -87*q - 27","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/13068 and 29\/30?\nAnswer: 65340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = 7*m - 2, 3477*a - 3477*a - 5*m = 10 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -k**3\/4 + 49*k**2\/2 + 119*k\/4 - 495 = 0.\nAnswer: -5, 4, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1855 and -5.\nAnswer: 1850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2314, -4621, -6920, -9211, -11494, -13769, -16036?\n\"Answer: 4*m**2 - 2319*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of -j**4\/6 + j**3\/3 + j**2 - j. Let u(i) be the first derivative of w(i). Let o(d) = -2*d + 1. What is 7*o(r) - 4*u(r)?\nAnswer: 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 213, 682, 1679, 3468, 6313, 10478?\nAnswer: 16227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 8:12 PM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4 + 20 - 11 - 8 + 208*s + 1 - 1234*s**5 wrt s.\nAnswer: -24680*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3 + -6*((5*(sqrt(405) + 0))**2 + -5) + 2 + -4).\nAnswer: -121438","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 3756 = 606. Suppose 13*k + 5*k - a = 0. What are the prime factors of k?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(19) + 0 + -4.\nAnswer: -3 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -328786*m + 328782*m - 2*h - 2 = 0, 21*h - 40 - 7 = 2*m + 20 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 19 = -4*t, t + 0*s - 5 = -3*s for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uafkfkfkfkuffuuaufa. What is prob of sequence kuuk?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 49302833 to the nearest integer?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 3:59 AM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -3\/4 (b) -1.3 (c) 488 (d) -4 (e) -7 (f) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y**4\/y*y)**(-1\/18)\/((y*y**3)\/y)**(1\/52) assuming y is positive.\nAnswer: y**(-61\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 19207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*s**2 + 2*s + 43*s**2 + 30*s**2 - 24*s**2.\nAnswer: 82*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.29 + 0.290006. Round y to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -8.1. Let m = -0.4 - f. Which is the third smallest value? (a) -1\/8 (b) m (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - 3 - -8 - (24 + -4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1460829 is divided by 23.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of 0*x**6 + 0 + 0*x**4 + 0*x + 1\/30*x**7 - 11*x**2 + 0*x**3 + 2\/15*x**5. Find the third derivative of z(t) wrt t.\nAnswer: 168*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -78 - -41. Let q = u + 39. Suppose -2*m + 72 = q*m. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 157 + -36644?\nAnswer: -36465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 107\/2 (c) -4 (d) -43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 1, -81614, 9?\nAnswer: -81614","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {p: 1, y: 1, o: 1, f: 8, i: 1}.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 27, 3, -5 in descending order.\nAnswer: 27, 6, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -26955, 67, -2 in decreasing order.\nAnswer: 67, -2, -26955","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4704613?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 0, 40, 34\/3, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -217 (base 9) to base 5.\nAnswer: -1203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -12\/53 (b) -1\/7 (c) 5 (d) -1\/2 (e) 3\/4 (f) 0.01 (g) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**3 - 1581 + 3146 - 1565.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzjzjzdjzjjzzjdja. Give prob of sequence dzzj.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + (-4 + (-96 - (11 - -6)) - 4).\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 20\/(-1435)*(1 + (-4)\/6). Let f = 64567\/1722 - i. What is the common denominator of (-1 - 0) + (-48)\/5 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2759*x**3 + 428*x**2 + x + 1 wrt x.\nAnswer: 16554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 12551?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q**3 + 188*q**2 - 1120*q = 0. Calculate q.\nAnswer: 0, 7, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 2282.223 to the nearest integer.\nAnswer: 2282","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 39 = -2*m, 3540*j - 3545*j + 78 = -3*m for m.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38\/(-114)*(8\/(-4))\/(-2).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of (-368)\/(-6) - 6\/(-108)*-6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - -3) + (-24 - ((22 - 3) + -76 + 72)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -7*m - 5, -176 = -5*d - 4*m. 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: Calculate prob of sequence qn when two letters picked without replacement from {q: 1, n: 3, c: 5}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 + 5*l + 5. Let s be i(5). Let m be (-94)\/(-2)*2*(19 - 23). Let z = 371 + m. Sort s, 2, z, -76 in increasing order.\nAnswer: -76, z, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - 13*r - 8. Let k be (0 - -6)*2 + 4 + -6. Calculate b(k).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of -v**6\/150 + v**5\/100 + v**4\/60 - v**3\/30 + 5*v - 13. Factor j(w).\nAnswer: -w*(w - 1)**2*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 18 = b - 7, 14 = 5*w - 4*b. Suppose 6*o - w*o = 0. Suppose o = -l + 3*l. Solve l = -0*s + 5*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1072)\/(-112) - 18\/(-42). Solve -c - 2*r - 11 = 0, -c - x = -2*r - 15 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24892\/9065 - (-4 + 2190\/555)?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -4*n**2 + 16. Let z(a) = -2*a**2 + a + 1. Let i(u) = -3*s(u) + 24*z(u). Let f(x) = 7*x**2 - 5*x + 5. Give 24*f(k) + 5*i(k).\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1343 - 55?\nAnswer: 1288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 68 + 17. Suppose 5*u - y = 4*u. Let l = -1650 - -1672. What is the remainder when u is divided by l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 5. Suppose 4*l + 3 - 35 = v. Suppose 5*o = 17 + l. Solve -o*g - 21 = -6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + -13 + 1339\/39.\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q + 1. Calculate l(-12).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*w = -42*w - 319635. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220*t - 177*t + 258 = 0 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 3 - 2*c**2 + c**2 - 1 - 8*c. Let a(i) = -i**2 - 7*i + 1. Let b(t) = t**2 - 6*t + 6. Let n be b(4). Let m(k) = n*v(k) + 3*a(k). Determine m(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 10:32 AM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -4875*u + 3010. Let v(r) = -2437*r + 1533. Let q(i) = 2*m(i) - 5*v(i). Find the first derivative of q(l) wrt l.\nAnswer: 2435","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2779 is divided by 636.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -3*n + 11, -5*s + 14 + 5 = 3*n. Solve l - s*l = 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = -2*a - 30, 2659 = -5*q - a + 2693 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of b**5\/4 - 55*b**4\/6 + 455*b**3\/6 - 255*b**2 + 2*b + 1815. Suppose r(y) = 0. Calculate y.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202022 (base 3) to base 14.\nAnswer: 2b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 507438 to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137*l + 446 = -102. Let u be (0 - 1)\/((-1)\/7). Let j(s) = 0 - 2*s + 1 - u. Determine j(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1121544863 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 251, 248, 245, 242, 239, 236?\n\"Answer: -3*n + 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -3*w + 6. Suppose -5*j + 38 = -3*i, 2*j - 36 = -3*j + i. Let y be (-1)\/(-2) + j\/2. Give d(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 976, 977, 970, 949, 908?\nAnswer: 841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.93197 to one decimal place.\nAnswer: -8.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44625 and 2905875?\nAnswer: 2625","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 7*v**3 - 2*v**2 + 9. Let i(q) = -27*q**3 + 9*q**2 - 36. Let r(f) = 4*i(f) + 18*l(f). Differentiate r(o) wrt o.\nAnswer: 54*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -70 - 5*c**3 + 11*c**3 - 5*c**2 - 7*c**3 + 74. Determine w(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -2 + 3 + 9 + -12 + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42925 is divided by 377.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h\/(h*h**(-3\/8)*h)))\/(h\/h**(-13)*h*h) assuming h is positive.\nAnswer: h**(-107\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 11373*x + 10 + 5 - 18)*(0 - 2 + 1)*(0*x - 5*x + 4*x) in the form c*x**2 + i*x + g and give c.\nAnswer: -11373","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 34766741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-19)\/3)\/((-5)\/(-30)). Let z = -25 - y. Suppose 65 = -z*x + 18*x. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 10, 2*f + 5*c = -0*f - 6. Suppose 0 = -4*y - f + 14. Let l be (-2)\/4 - (-2)\/4. Solve -3 = y*a - l*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + (-105)\/(-18) - 3. Let n = -0.41 + 0.01. Which is the closest to 0? (a) 1 (b) o (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17 and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1919*w**2 + 958*w**2 + 961*w**2 - 255*w**3 + 47*w**3.\nAnswer: -208*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 26*b**2 + 448*b**2 - 5.\nAnswer: 422*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 0*o + 9. Suppose -2*p = -6*p - 16. Let d be (12 + o)\/((-42)\/p). Which is the third smallest value? (a) 1\/5 (b) d (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149063081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -188496*0.0568.\nAnswer: -10706.5728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -4*w**3 - w + 4*w + 3*w**2 + 4 - w**2 + 5*w**3 + 2*w**2. What is v(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 c when four letters picked without replacement from {c: 7, z: 7}?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3532760, 7065521, 10598282, 14131043, 17663804?\n\"Answer: 3532761*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 187 - 140. Let w = t - 49. Suppose 2*z - 2*l - 1 = 7, -z + 4*l + 1 = 0. Which is the smallest value? (a) z (b) w (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46353.4984 + 0.2\nAnswer: -46353.2984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -12*w**2 + 44*w - 7. Let b(i) = -5*i**2 + 21*i - 4. Let a(h) = 5*b(h) - 2*q(h). Give a(17).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56 and 436?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*o + 33*o + 403*o + 3136 = 0 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4914 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28542139, 28542127, 28542115, 28542103?\nAnswer: 28542091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + -13. Let k be (z - 1)\/(0 + -1). Let v(q) = q**2 + q + 1. Determine v(k).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 120 = -5*a. Let v be 71\/6 + (-4)\/a. Solve o = -3*o - v for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 287 is divided by 72?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4\/3*f**4 - 4\/3*f**3 - 96 + 152\/3*f**2 + 48*f = 0. What is f?\nAnswer: -6, -2, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1572*l - 2721*l + 15932*l + 570311 = 0 for l.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 123 + -24. Let l(o) = -53*o - 9. Let b(p) = -2596*p - 440. Let f(m) = g*l(m) - 2*b(m). Is f(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 688\/(-3)*(145 + -148)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, l: 3, n: 1, j: 5}. Give prob of sequence nllj.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of 4*w**5\/5 - 5*w**4\/2 - 11*w**2\/2 + 2*w + 137. What is the second derivative of u(s) wrt s?\nAnswer: 48*s**2 - 60*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-y**2 + 2 - 2)*(-2*y + 3*y - 12*y) - 2*y - 2*y**3 + 2*y + 0 - 2*y**3 + 0 in the form x + i*y + d*y**3 + f*y**2 and give d.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/370058 and -3\/3310.\nAnswer: 1850290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -1 + 5 + (-18 - -8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 244865161 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a micrometer in nanometers?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrpppgpngngrpnrg. What is prob of picking 4 n?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of y**4\/12 - 4*y + 1. Let h(x) be the first derivative of f(x). Let i(p) = 4*p. Calculate h(i(r)).\nAnswer: 16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/231057496 and -53\/12680?\nAnswer: 1155287480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*z - 3*z + 0*z)*(-534 + 95 - 540 + 123) to p + f*z and give f.\nAnswer: 856","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32 + (-41 - 11) + -3.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30 - -13. Let a = -17 - i. Which is smaller: 2\/47 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 565 + -563. Let i(w) be the second derivative of -6*w**d + 1\/3*w**4 + 4\/3*w**3 + 0 + w. Factor i(p).\nAnswer: 4*(p - 1)*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17183652077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*t - 105 = -39*t - 1332 - 1953 for t.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1365, -2666, -3967?\nAnswer: -5268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 150, 316, 494, 684, 886, 1100, 1326?\n\"Answer: 6*c**2 + 148*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*4*(sqrt(20) + 4*sqrt(20))*-5)\/((sqrt(160)\/sqrt(10))\/sqrt(4) - (sqrt(40)\/sqrt(10) + sqrt(4))*6).\nAnswer: -500*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3735 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7663250.\nAnswer: 2, 5, 7, 29, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 641127585?\nAnswer: 3, 5, 7, 31, 431, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0219765 to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -5*y + 3*y + 688, -1110 = -5*q + 4*y. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 35953, -2.\nAnswer: -2, 0, 35953","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*i - 11*i. Let c(p) = -p + 5. Let b be c(i). Suppose 0 = b*g - 24 - 21. Solve -5*n - 25 = -3*y, 2*n - 5*y + 20 = -g for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 1104?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 152033?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -9*o - o + 15*o + 25 - 8*o. What is the remainder when 159 is divided by b(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (32\/(-6) + 2)*(-6)\/5. Suppose -f*a - 3 + 115 = 0. Calculate the highest common divisor of a and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161230 is divided by 53740?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3031523 (base 6) to base 15.\nAnswer: 2cb2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.04765 rounded to 0 dps?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -175, -592, -1729, -3946, -7603?\n\"Answer: -60*r**3 + 3*r - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -30734, -4 in increasing order.\nAnswer: -30734, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 116\/(-4)*(5 + -4). Let u = q + 38. Solve u*x + 1 = 8*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -d - 3*d - 153306, -5*k - 191620 = 5*d. Let r = d - -15178327\/396. Find the common denominator of r and 69\/2.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1737 is divided by 145?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 PM and 1:43 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-124)\/(-186)*(2 - 159\/(-6)) + -8.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**(1\/2)*o*o)**(3\/22)\/(o**4*o**(1\/11))*(o*o**(-2))**30*o**(-1\/6)*o*o**(1\/2) assuming o is positive.\nAnswer: o**(-4243\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -12*p. Let r be s(1). Let w = 53 - r. Suppose 4*q + q = w. Is 13 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-36)\/(-12)*(2 - 1). Determine j so that 5*j**r + 23*j + 18*j**2 + 9*j + 58*j**2 - 16 + 23*j**3 = 0.\nAnswer: -2, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 19928 - (21\/(21\/(-8)) - -10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 4. Let j = 5 - g. Let p be (-28)\/51 + 2\/3. Which is the closest to j? (a) -2 (b) p (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9499695.\nAnswer: 3, 5, 97, 6529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35*r**3 - 233391*r**2 - 4*r + 1225508.\nAnswer: 210*r - 466782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -12703*b + 7424*b + 8117*b in the form v + l*b and give l.\nAnswer: 2838","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 176*i**6 + 2*i**5 + 22*i**4 - 20996*i**2 - i.\nAnswer: 21120*i**3 + 120*i**2 + 528*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 5*i**2 - 4*i - 4. Let m be -2 + 5 - (-2)\/(-1). Let h be 6 + (0 - 2) + m. Suppose -h = 5*u - 2*u + 2*n, -4*u = -3*n + 35. Determine p(u).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2208 = -34*m + 93*m + 79*m for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -160*v + 0*v**2 + 160*v + 13 + v**2 - 48*v**3 wrt v?\nAnswer: -288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*q - 2*q - 15*q**3 + 8*q**2 + 22*q**3 - 8*q**3 to n*q**2 + c*q**3 + v + m*q and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7398.\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14699162 is divided by 555?\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from huuuhhuuuuu?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -7*u**2. Let v(s) = 11*s**2 - 57*s + 332. Let p be v(6). Let j(y) = 0*y + 0*y + 386 - p + 7*y**2. What is h(j(f))?\nAnswer: -343*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, -0.3, 2, -5, 5, 0.0067 in descending order.\nAnswer: 5, 2, 3\/2, 0.0067, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**4 + 2*n**4 - n**4)*(-n - 2*n + 0*n) - 24*n**5 + 2*n**5 + 3*n**5 + (0 - n**4 + 0)*(0*n - 3*n + 0*n) + (0 - 1 + 0)*(-2*n**5 + 4*n**5 - 3*n**5).\nAnswer: -12*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*c + 0*c + 3*c)*(-3390 + 307*c + 3390) + 3*c**2 - 7*c**2 - 3*c**2 in the form a + t*c + r*c**2 and give r.\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -847609, -3390420, -7628427, -13561630, -21190029?\nAnswer: -30513624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1327 divided by -7?\nAnswer: 1327\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 7:04 AM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f - 1. Let b(q) = 4*q + 2. Let l be 212\/(-318)*(-126)\/(-12). Suppose 5*a + 18 = -4*w, -5*w + a + 0*a - 8 = 0. Calculate l*t(m) + w*b(m).\nAnswer: -m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 8839*w + 17 - 8867*w to the form d + t*w and give d.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5914739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 + 7*f - 8)*(-58*f**3 - 94*f**3 + 49*f**3) to the form s*f**2 + a + c*f**3 + p*f**4 + h*f and give p.\nAnswer: -721","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7828670413 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (14 - 11)\/(1*-5)*-5. Calculate the remainder when (8 - k)*(-129)\/45*-3 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -65.45 and -9?\nAnswer: 56.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 2*x**3\/7 - 21100*x**2\/7 + 31063638*x\/7 + 31084740\/7 = 0.\nAnswer: -1, 1770, 8781","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4661 is divided by 802?\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-3)\/(-9)*(-21)\/182\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1885 by 1.\nAnswer: -1885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 211, 213, 215?\n\"Answer: 2*x + 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 7 = -1. Let r(f) = 4*f**2 + 4*f + 3. Let k be r(w). Solve 0 = 2*p + 3*n - k + 2, 4*p = n - 17 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10449 or 10445?\nAnswer: 10445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1102, -1100, -1098, -1096, -1094, -1092?\nAnswer: -1090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 not equal to 145?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1265566 to 2 dps.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 + 100. Find the common denominator of -4\/3 and 4 + -3 - f\/14.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -74*t + 13. Let p(c) = 181*c**2. What is g(p(a))?\nAnswer: -13394*a**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 835*f - 1453. Is k(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(425))*-1 - 2*(sqrt(425)*2 + sqrt(425) + sqrt(425))) + -2)**2.\nAnswer: 90*sqrt(17) + 34426","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 54 = 5*x. Suppose b + x = 15. Solve -m = c + 4, -4*m - 7 = -c + b for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 2124*o = -2126*o + 62, u - 20 = 4*o for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -93885, -88140, -82381, -76602, -70797, -64960?\nAnswer: -59085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.7686 rounded to the nearest integer?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = u. Let c(j) = j + 481. Is c(u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 494976 or 494966?\nAnswer: 494976","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**3 + j**3 - 2*j**3 + (-j**2 + 3*j**2 - j**2)*(-2*j + 4*j - 4*j))*(0*j + 5*j - 18*j).\nAnswer: 13*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 3. Let b(c) = 19*c + 2. Let d be b(3). Suppose -2*n = -3*i + 182, -p*i - n + d = -2*i. Calculate the highest common factor of i and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -0.366 (b) -1384 (c) -0.06 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of 3*w**5\/2 - w**4\/6 - 47*w**3\/6 - 39*w. What is the second derivative of l(f) wrt f?\nAnswer: 180*f - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000050722 to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 + 26*j - 72. Calculate c(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*d + 71*d = -1856 - 176 for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y**5\/8 + 177*y**4\/4 + 13905*y**3\/8 + 90795*y**2\/4 - 3477*y\/2 - 22743 = 0.\nAnswer: -42, -38, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 + 3*y**2 + 2*y**2)*((-15*y + 26*y + 13*y)*(-5*y + 5*y + 2*y**2) + (0*y**2 + 0*y**2 - y**2)*(0*y + 2*y - 3*y)).\nAnswer: 147*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001111001 (base 2) in base 16?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 5*p - 3*p)*(-2*p + p - p)*(5*p - 3*p + 0*p + (7 - 3 - 2)*(-2*p - 2 + 2) + 3*p - 2*p + 0*p).\nAnswer: -12*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w**2. Let a(f) be the first derivative of 7 + 0*f + 3\/2*f**2. Give s(a(j)).\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2583*h**2*o**2 - 130*h**2*o + 3731*h*o - 131*o**3 wrt o.\nAnswer: 5166*h**2 - 786*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 651 + 2*v - 651. Suppose 2*c - 5 = 9. Let p(r) = 6*r - c*r + 4*r. Give p(h(j)).\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 39 - 41. Suppose 4*p - l = -5*k, 0*p = -2*p + 3*k - 12. Sort -1, 5, 4, p in ascending order.\nAnswer: -1, p, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -44 + 44. Suppose 7*v - 693 + 161 = k. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 less than 937\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (8 + (-603)\/54).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 4, -9, -0.7, -4, 0.5, 205 in descending order.\nAnswer: 205, 4, 0.5, 2\/5, -0.7, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, d: 9}. Give prob of sequence dr.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -13953250 rounded to the nearest 100000?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -788, -787, -786, -785, -784?\n\"Answer: h - 789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 497 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2686, 10749, 24188, 43003, 67194, 96761, 131704?\n\"Answer: 2688*u**2 - u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 25.7 from -0.09.\nAnswer: -25.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 28, -2, 28067, -3 in decreasing order.\nAnswer: 28067, 28, 16, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -23. Let x be (2\/8)\/(2\/k). Let m(y) = 18*y - 3. Is m(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -232a34 - -4?\nAnswer: -232a30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -441 - 437 + 879 + 5439*f**3 + 7481*f**3.\nAnswer: 12920*f**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34 - 37. Sort -0.06, z, -8 in descending order.\nAnswer: -0.06, z, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 449 divide 11445908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 302 - 215. What are the prime factors of o?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -34*n - 179*n - 2*n**2 - 228*n + 888 - 2*n**2 - 443*n = 0.\nAnswer: -222, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of -z**4\/4 - z**3\/3 + 2*z + 1. Let s be a(2). Is -9 less than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18160, 36321, 54486, 72655, 90828, 109005, 127186?\nAnswer: 145371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -15*c**3 - 31*c**2 - 2*c = 0?\nAnswer: -2, -1\/15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = b + 5*b. Is b >= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2 + 2 - 2*o**2. Let x(a) = 19*a + 947. Let i(d) = -22*d - 1105. Let l(y) = 6*i(y) + 7*x(y). Determine v(l(u)).\nAnswer: -2*u**2 + 4*u - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3*a = -3*c - 1, -5*a - 4*c = -14. Suppose 6 = -a*z, 0*i - 5*z - 33 = -2*i. Suppose 30 = 3*g - i*g. Put g, -0.2, -0.4, 1\/7 in decreasing order.\nAnswer: 1\/7, -0.2, -0.4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 345?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(65)*-1 + (1*(-2*sqrt(65) + sqrt(65) - sqrt(65)) - sqrt(65)))\/(-5*(sqrt(180) - sqrt(180)*-2) + sqrt(180) + sqrt(180)).\nAnswer: 2*sqrt(13)\/39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -273*f**2*s**3 + 12264*f**2*s**2 - 7*f**2*s - 32057*f*s**3 - s + 18 wrt s.\nAnswer: -1638*f**2 - 192342*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/30*340\/24 - 4. Which is the smallest value? (a) d (b) -0.292 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 25*((-11)\/(55\/513098) + -2). Is (7\/(-2) + 1)*n\/675 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -271 (b) -0.01 (c) 1545\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/153? (a) 0.4 (b) -30.4 (c) 4 (d) -1\/6 (e) -157 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 4. Let o = 77.8 + -78. Let z = 14.4 - 14. Sort h, o, z in decreasing order.\nAnswer: h, z, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/(-8))\/(8\/352*11) - 6?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 137, 292, 501, 764, 1081, 1452?\nAnswer: 1877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 5*k + 4. Calculate w(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/10)\/(q\/(q*q**(-18)))*q**(17\/5)*q**(-1\/29))**(-28\/9) assuming q is positive.\nAnswer: q**(3934\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 10 = 0, -104 = 2*q + k + 4*k. Let o = q + 59. What is the tens digit of (0 - (o + 3))*92\/(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*j + 282 = 212*j - 176. Let r = -7 + 9. Suppose 0 = -2*w + 2*s + r*s + 6, -2*w = -s - 6. Solve -j*d = -w*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y**2 + 4072*y - 12252 = 0. Calculate y.\nAnswer: -1021, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 7, w: 9}. What is prob of picking 3 w?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*k + 15*k**2 + 12*k - 3*k**2 + 19*k + 43*k in the form f + t*k + j*k**2 and give j.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -266 - -276.9. Let v = c - 11. Let r = -0.4 + v. What is the closest to 1 in -3, r, 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 (-26 + (-1276)\/(-44))*(-3382)\/(-2) and 9?\nAnswer: 15219","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6418 is divided by 160.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of 19 + 3\/5*r**5 + 0*r + 15*r**3 - 27\/2*r**2 - 21\/4*r**4. Solve o(q) = 0 for q.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 41\/2 of a meter?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/12 and 49\/3180?\nAnswer: 3180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -142 - -4?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 123, 195, 267, 339, 411, 483?\nAnswer: 555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 31 + 0 = 4*y, -15 = 3*d. Suppose 2*s + 3*z = y, 0 = -3*s - z - 7 + 20. What is the smallest value in -0.5, s, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6174 by -6.\nAnswer: 1029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 4*w**2 - 2*w + 1. Suppose -2*z + 4*u + 6 = 0, -2*u + 0 - 2 = -2*z. Let d be ((-3)\/((-9)\/(-3)))\/z. Give r(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1221645 a multiple of 333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -3, -5, 3, 0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/20 and -139\/408?\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 1*((sqrt(300) - (sqrt(300) - (sqrt(300)*1 + sqrt(300)))*3)**2 + 2).\nAnswer: 4797","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -3*j. Let g(s) = -1520*s**2 + 58878939*s - 58878939*s. Determine g(q(d)).\nAnswer: -13680*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/42)\/((-20)\/(-240)) + -10?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*m - 102 + 22 = 0. Suppose 455 = -m*f + 7419. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-184240)\/3024 - (-62 - -1)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -4*n + 6*n + 4*n + 16 - 1 - 2*n**2 + 5*n. What is d(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b**2\/3 - 145*b - 5548\/3 = 0. What is b?\nAnswer: -76\/7, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (726 + 714 + 560)*(-3 + 4 + 3)*(-4 - 1 + 2)*(0 + 2*f + 0 + (0 + 1 - 2)*(-3*f + 4*f - 2*f)).\nAnswer: -72000*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 14 = 2. Is ((-4)\/v)\/((-1)\/(-4)) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41.47 >= -5946?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -5, 23.14, 1 in descending order.\nAnswer: 23.14, 1, 0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 27*g**3*u - 1467*g**3 - 3*g*u**2 wrt u?\nAnswer: 27*g**3 - 6*g*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -2\/3 (b) 2988062 (c) -7 (d) 1 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 124 = -w, -2*u + 116 = -w + 6*w. Calculate the least common multiple of u and 12.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 - 7*c + 2. Let w(b) = 2016*b**2 + 1176*b - 336. What is 168*u(l) + w(l)?\nAnswer: 1848*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of 16*g**6\/3 + 16*g**2 - 6. Find the second derivative of x(h) wrt h.\nAnswer: 640*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -4. Suppose 4*m + m + r = -43, 0 = f*m + 2*r + 32. Let h = m + 48\/5. Which is the closest to 1? (a) 2\/3 (b) h (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 81 + -75.7. Let z = 1.3 - u. What is the closest to 0.2 in -1, z, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 343 is divided by 330?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 437.5787nm in centimeters?\nAnswer: 0.00004375787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18 - (12 + -2)) + 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s - 3. Determine h(96).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*x**3 + 2*x**4 + 2908*x + 4*x**3 - 4*x**2 + 3 - 1457*x - 9*x**2 - 1449*x as l*x**4 + g*x**3 + m*x**2 + b*x + t and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 5*h + 35, 0*k + 3*k + h + 21 = 0. Let d be (-60)\/(-90)*6\/(-4). Put d, 3, k in decreasing order.\nAnswer: 3, d, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -14704869, -29409735, -44114601, -58819467, -73524333?\n\"Answer: -14704866*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20679 and 9447591.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 222604809?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -3 - 16\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -0*d + 25, -2*u + 5*d = -27. Let i be (u\/3)\/((-4)\/36). Calculate the smallest common multiple of (i\/(-4))\/(1\/12) and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 8 + 2222218*f - 22 - 24. Let k = -50 - -41. Let x be s(k). What is x rounded to the nearest 1000000?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -1 - (-11 - -16).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of -p**5\/20 + p**4\/6 + p**3\/2 - p**2\/2 - 34*p + 32. Let s(v) be the first derivative of l(v). Determine s(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 174710*b**2 + 630886*b wrt b.\nAnswer: 349420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 2, -2\/9, -38, 232?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 106, 202, 364, 592, 886?\nAnswer: 1246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 513 - 516. Let h be (0 + 12\/(-30))\/(-2 - d). Which is the closest to 1\/7? (a) 4 (b) -5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -900*c + 68*c - 1328*c + 90*c to the form o*c + u and give o.\nAnswer: -2070","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of q**4\/24 - q**3 - 4*q**2. Let v be p(7). Calculate the greatest common factor of v and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 407502?\nAnswer: 2, 3, 22639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 + 121?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 5*d**2 - 3722. Let h(m) = m**2. Give l(h(u)).\nAnswer: 5*u**4 - 3722","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s. Let z(y) = y**3 - y**2 + 2*y - 2. Let d be z(2). Let m = 12 - d. Let t(g) = 6 - m*g - 4 - 2. What is -34*h(p) + 6*t(p)?\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 10 = -q - 11, -3*q = 5*f + 59. Let j = -26 - q. Let o = -6 - j. What are the prime factors of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 + 19. Solve -4*n = -a*n - 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 517?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 6 - 13 = 3*g, 5*g + 5*q - 30 = 0. Let t be (g\/(-2))\/(2*2\/(-48)). Solve 0 = 5*j - 4*v - 28, 8*v - 3*v + t = -j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 20*r + 27*r + 16*r = 24*r - 73*r - 3, 0 = 4*r for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of -q**5\/4 - q**4\/2 - q**3\/2 + 4*q**2 - 5*q. Is 14 a factor of d(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 4*u**2 + 2 - 6*u**2 - 4*u - 2. Let n be t(-3). Let g = 10 + n. Is 3 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine fifths of a microsecond in nanoseconds?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20473175 divided by 1?\nAnswer: 20473175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -11 - -1e5?\nAnswer: 1d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9465.\nAnswer: 3, 5, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 12197 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: Evaluate 69\/(-92) - (11\/(-4) + 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 4*q + 2*g, -q = -111*g + 114*g + 12 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - 2) + -1 + 5 - -5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-2)*r)**(-2\/89) assuming r is positive.\nAnswer: r**(-8\/89)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004392 rounded to six dps?\nAnswer: -0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q + 3*q - 10 + q**2 + 8*q - 3*q. What is f(-7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7\/2 in -23, -6, -0.26, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 493029593 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tkt when three letters picked without replacement from zttzzttzztk.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -38225.89 - 55\nAnswer: -38280.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-75)\/(-10) - 3 - 4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 - 13*d**2 - 7*d - 4. Let k be p(-5). Let q = k - -429. Solve -3*w - 23 = -4*m, -2*m - 5*w = -3*m + q for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11 + (5 - 11) + 15529.\nAnswer: 2, 3, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 + (-66)\/21)\/(-1). Let f(b) be the first derivative of 4\/35*b**5 - 7 + 0*b**4 + 1\/21*b**6 - 4\/21*b**3 - i*b**2 + 0*b. Let f(t) = 0. What is t?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - 7*q**2 + 9*q - 9. Suppose 22 = 5*r - 8. Give a(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/147352 and 39\/6328.\nAnswer: 1031464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6810.27ml to litres.\nAnswer: 6.81027","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/3241 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 + -20. Suppose 2*l + 2*l = 88. Let s be (l\/(-165))\/((-3)\/5). What is the nearest to 0 in s, m, -0.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xmmx when four letters picked without replacement from {x: 2, m: 11}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 - 8*q + 6. Let r be l(-5). What are the prime factors of (6\/4)\/(r\/798)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -267 + 318. Suppose 44*v - l*v + 7 = 0. Sort 1\/7, -5\/4, 2\/11, v in ascending order.\nAnswer: -5\/4, 1\/7, 2\/11, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*i**3 - 47*i**3 + 23*i**3.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-1)*(-50)\/10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 106 (base 7) to base 5\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**4\/4 + 5*f**3 - 47*f**2\/4 - 33*f\/2 = 0 for f.\nAnswer: -22, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + 2*y**2 + 11*y + 11. Is f(-12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 5*j + 3 = 0, 3*n - 80*j - 69 = -75*j. What is the common denominator of -2 + ((-2496)\/n)\/(-13) and 77\/390?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(8\/16)\/((-5)\/(60\/174))?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - 6)\/((-63)\/865607694). Let x = t - 46718828. Round x to the nearest one million.\nAnswer: 36000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 33 - -18. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in nine tenths of a decade?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12034 rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -32 - 12. Let z be (-1)\/((-3)\/(-6)*h). Which is the nearest to -0.1? (a) -2\/13 (b) -1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 53\/180294?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1318 (b) -0.4 (c) -193 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 + -14. Suppose -7*j + 5*j = 5*b + 19, -3*j = -9. What is the remainder when (b + 6)*(n + 3) is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (10\/30)\/(6\/90). Solve -2*y - 30 = -r*x, 3 = -3*y + 63*x - 66*x for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -388, -775, -1160, -1543, -1924, -2303?\nAnswer: -2680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2. Let j(r) = -9561*r**2 + 16085*r**2 - 9940*r**2. Give m(j(k)).\nAnswer: -11669056*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -5. Suppose -24 = -191*k + 197*k. Let h = 5 + -5. Sort k, p, 1, h in ascending order.\nAnswer: k, h, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + t = -t + 10, -3*a + 30 = -t. Suppose -c + d = -a, 0*c = 2*c + 2*d - 16. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pa when two letters picked without replacement from {o: 2, a: 4, s: 6, p: 2, l: 2, g: 1}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 37275 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*c = 87*c + 11 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 - v + 137. Calculate h(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -68*k**5\/7 + 9840*k**4\/7 - 351040*k**3\/7 + 220600*k**2\/7 + 784068*k\/7 + 202520\/7 = 0.\nAnswer: -1, -5\/17, 2, 61, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -18577, -37236, -55983, -74818?\n\"Answer: -44*y**2 - 18527*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4418755 divided by -55?\nAnswer: 80341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 8:40 AM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -25, -47, -107, -223, -413, -695, -1087, -1607?\n\"Answer: -3*q**3 - q**2 + 2*q - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5 - 6) + 1 + 18. Let s(g) = g**3 + g**2 + 1. Let r(b) = -10*b**3 - 9*b**2 - 9. Determine a*s(o) + 2*r(o).\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**14*u**(-5)*u**(-1\/2)\/u**25)**46 assuming u is positive.\nAnswer: u**(-759)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 324 = 18*w + 9*w. Let q(u) = u**2 + 4*u. Let n be q(3). Let d = 53 - n. Calculate the lowest common multiple of w and d.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6776 divided by 308.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 431*m - 108 = 419*m for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 PM and 10:39 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, j: 2, i: 1, r: 1, e: 4}. Give prob of sequence je.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 - 22*t - 14. Let u be d(-17). Let x = 108 - u. Let b = 73 - x. 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: Work out -10 * -0.4239.\nAnswer: 4.239","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 3*s**2 - 10*s - 1. Calculate x(-4).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -39357, -78720, -118083, -157446?\n\"Answer: -39363*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 6953, 13909, 20867, 27827, 34789, 41753?\n\"Answer: h**2 + 6953*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v + 1. Let m(w) = w**2 + 5*w - 5. Let b be m(-5). Let y be p(b). Solve 3*l + l - 4 = 3*t, -t = -5*l - y for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-5))\/((-2)\/(-20))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/810 and -115\/1944.\nAnswer: 9720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -8*w**3 - 16*w**2 - 9*w - 5. Let n(f) = 2*f**3 + 4*f**2 + 2*f + 1. Let k(s) = -2*j(s) - 9*n(s). What is the units digit of k(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 13*b**2. Let a(i) = 80*i**2. Determine f(a(p)).\nAnswer: 83200*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011000011001110 (base 2) to base 3.\nAnswer: -2022002101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6247417 centuries in months?\nAnswer: 749.69004","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4448.3 + 4448. What is the closest to 911 in x, -5, 0, -1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**4 + 0*q**3 + 0*q**3)*(-33 + 153 - 69).\nAnswer: 102*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 4*r - 18, m = -0*m + 5*r - 19. What is the tens digit of (-3)\/(-18)*m*2*75?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/(-2))\/((-1)\/(-10)). Let a = -9 - u. Let f(k) be the first derivative of -k**3\/3 - 5*k**2\/2 - 5*k - 3. Calculate f(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7133 and 0.9.\nAnswer: -6419.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*d - 9 + 9.\nAnswer: -17*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - -5 - -12 - -1) + (-32 - -39).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2952630 to the nearest ten thousand.\nAnswer: -2950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 - 13*s**2 - 12*s - 22. Let l be z(14). Let d be (-14)\/l*(-39)\/(-13). Let f = -5 - d. Solve -1 = -f*y + 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of 4*h**3\/3 - 3*h**2 - 6*h - 5. Let y be x(-4). Let i = -32 + y. Does 25 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/23 in -186, -2, -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1127 is divided by (-492)\/(-15) - (7 + 341\/(-55))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + t + 0 + 3*t - 3*t - 2*t - 3*t - 2*t - 2*t + (0 - 1 + 2)*(t - 1 + 1) + 0*t + t + t.\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 88.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.562247 days in minutes?\nAnswer: 6569.63568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 832517001 to the power of 1\/3, to the nearest integer?\nAnswer: 941","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/6 + ((-24)\/(-9))\/((-16)\/24)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, y: 1, t: 14}. Give prob of sequence my.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-20)\/6*9\/6. Let j be -3 + 4 - (-1)\/n. Factor j + 6\/5*v**3 + 14\/5*v + 16\/5*v**2.\nAnswer: 2*(v + 1)**2*(3*v + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31920 or 0.2?\nAnswer: -31920","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k + k + 249*k**3 + 367*k**3.\nAnswer: 616*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 35 = -3*j, 53 = -4*j + 5*s + 13. Let g = 45 - j. Let q = g - 25. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -4*p**3 + 1. Suppose 0 = -4*j + 3*r - 15 - 5, -j + 3*r - 14 = 0. Is w(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 10*k. Let g(d) = 25*d**2 - 2 + 2 - 125*d**2. Determine g(b(a)).\nAnswer: -10000*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 2*u - 58 = 0. Let k = 63008 - 62992. What is the remainder when u is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3441064?\nAnswer: 2, 11, 39103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164*p + 515 = -145*p - 30929 + 7033 for p.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 358499633 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0751 and -29.\nAnswer: -29.0751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 34763 and -0.5?\nAnswer: 34763.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 461*z - 987*z + 66 - 5898 = -454*z for z.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.22326483 to 3 decimal places.\nAnswer: -0.223","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 877 (base 11) to base 13.\nAnswer: 62c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1725\/(-207)*(-2)\/10?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of 3*s**6\/2 + 13*s**2 - 3. What is the second derivative of n(m) wrt m?\nAnswer: 180*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109835479?\nAnswer: 13, 8448883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222*m - 27 = -4*g + 219*m, -5*m + 10 = -5*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 286 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -31, -4, -5, 759, 3 in increasing order.\nAnswer: -31, -5, -4, -1, 3, 759","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 PM and 6:53 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*41\/188190*-30?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -4*x. Let g(m) = -39*m - 2*m**2 + 39*m. Calculate v(g(a)).\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -221401 at least as big as -221557?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of -d**8\/560 - d**4\/24 + 2*d**3\/3 + d. Let l(q) be the second derivative of x(q). What is the derivative of l(u) wrt u?\nAnswer: -12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -679 + 678.6. Let z(d) = 3*d + 6. Let t be z(-2). Sort x, 4, t, 5\/4.\nAnswer: x, t, 5\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 277 = -5*m - 245, -44 = 4*k + m for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6646, -53032, -178820, -423682, -827290, -1429316, -2269432, -3387310?\nAnswer: -4822622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*j - 167 = 37. Let c = 1064\/5731 - 2\/521. Let g = 18 + -73\/4. What is the fourth smallest value in g, c, -2, j?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -65237760 by 36.\nAnswer: -1812160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2595 divided by 5\nAnswer: 519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 3, -18 in descending order.\nAnswer: 3, 2, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + 6*k + 7. Give f(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -5622 > -7351?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 + 86 = t. Solve t*f = 11*f + 40 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 336?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of s**4\/12 + 2*s**2. Let w(t) = 10*t. Calculate i(w(a)).\nAnswer: 20*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -3*y**2 + y + 52. Give m(12).\nAnswer: -368","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 154032921*p**5 - 1745905014*p**4 + 4315172380*p**3 + 11073687752*p**2\/3 - 4764032*p + 1536 = 0.\nAnswer: -2\/3, 8\/12411, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of -t**6\/120 - 7*t**5\/60 - 7*t**4\/24 + 5*t**3\/6 - 4*t**2. Determine j(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3964774548?\nAnswer: 2, 3, 7, 4349, 10853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/116 or -2\/7?\nAnswer: -1\/116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (2 - -2) - -9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/143 (b) 0.1 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49 + -45 + 118 - 66.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1629?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -4*x. Let c(z) = -6*z. Let n(o) = -16*o + 2. Let p be n(-2). Let t(g) = -g. Suppose 48 = -6*b + 12. Let f(y) = b*c(y) + p*t(y). Give m(f(a)).\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**3 + j**3 - j**3)*(-2*j**2 + 4*j**2 + 0*j**2) + 3*j**5 - 23*j**5 - 33*j**5 + 0*j**5 - 2*j**5 + 0*j**5.\nAnswer: -51*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1514675 or -1515017?\nAnswer: -1515017","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 14*r**2 - 4*r - 29. Give s(-2).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -d**3*m**2 - 265006378*d**3 + 31954991*d**2*m with respect to m.\nAnswer: -2*d**3*m + 31954991*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*x + 0*x + x + 3*x - 3*x - x - 2*x + 7*x - x + (-3 + 7 - 3)*(x + 3 - 3))*(8 - 9*x - 8) in the form b + m*x + j*x**2 and give j.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 980\/(-90) - -9 - (-4)\/(-1) and -23\/66.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26\/611 - ((-160)\/240 - (-6148)\/3102)\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 10*s - 3*w - 12 = 0, 2*s - w - 1 = 0. Put s, -2, 28, 2 in descending order.\nAnswer: 28, 2, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 343\/4 + -94. Calculate the common denominator of i and (1\/8)\/((104\/13)\/(-8)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-9)\/(-6))\/((-1)\/4). Let c(a) = 2*a + 5. What is c(l)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 355 = 36*h + 211. Solve -h*c + 3*c = -4*t - 13, -5*t + 5*c = 20 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 49\/21*-4*-39. Suppose -25*a + 636 = -v. What is the remainder when 79 is divided by a?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 + (24 - 34) - (-2 - 5).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.05 bigger than 72.645?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3300*s = -14899 - 14801 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 a factor of 224224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 100001111001000110 (base 2) to base 12\nAnswer: 68406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -45347.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3*p**3 - 5*p**2 + 5*p - 3. Let y be v(3). Suppose 5*w - y = w. Calculate the remainder when (-9)\/(-5)*1400\/120 is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2324035 and 230?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25069 by -25069.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3449*y - 2 = -3454*y + g, -32 = -4*g. Solve z = y*z + z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -290360 divided by -140.\nAnswer: 2074","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 189 and 27132597.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 23 - 3)*(-4*x**3 + 2*x**3 - x**3)*(-x + 1 - 1 + (-3*x - x + 3*x)*(2 + 2 - 3)).\nAnswer: 114*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 + 116*v. Let b(q) = q**2 + 3*q. Determine 2*b(l) + n(l).\nAnswer: l**2 + 122*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21 by 4.\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 17*k**2 + 21*k + 533. What is i(-15)?\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2*g = -4, 4*g - 6 = -s - 0*g. Suppose -5*v - s*m = -16879, 0 = 5*v - 2*v + m - 10128. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (5*-3*(1 + -2*(5 + sqrt(468)*3)))**2 + -3.\nAnswer: 145800*sqrt(13) + 3809024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x - 6. Give b(15).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 403 + -207. Suppose 2*l = 110 + q. Does 16 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 - 671 - ((1 - -1) + -2). Which is bigger: o or -669?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -3\/67606360?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3 + -0.5. Let s = -0.0682 - 0.0318. Which is the nearest to s? (a) 0.2 (b) -4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5339, 11471, 18251, 25691, 33803?\nAnswer: 42599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -2. Let r = 0.04 + 0.06. Let g = r - 0.5. Which is the biggest value? (a) g (b) u (c) 5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83624909?\nAnswer: 19, 109, 149, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 4*d - 3125, 0 = 203*p - 200*p + d + 9414. Is -3136 not equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107 + 166 = 79*r - 85*r - 223 for r.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h*h**(-1\/10)*h)*h*h**5*((h**2*h)\/h)**38 assuming h is positive.\nAnswer: h**(811\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 49\/4 of a meter?\nAnswer: 1225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -10*h - 24. What is the units digit of r(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 89910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**4\/8 - 6249141*j**3\/8 + 7*j**2\/8 + 43743981*j\/8 - 18747423\/4 = 0 for j.\nAnswer: -6249141, -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122*v**3 - 12*v**3 + 81*v**3 - 41*v**3.\nAnswer: 150*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6*(33\/(-6))\/(-1). Let k = o + -5. Suppose -2*t + 6*t - k = -5*j, -4*t = 2*j - 16. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4391)\/351280)\/(4\/(-30))?\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**3 - 13*n**2 - 3*n**3 - 2*n**3 - 6*n**2.\nAnswer: -3*n**3 - 19*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -283 or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + 1. Let v = 54 + -34. Let m be (2\/3)\/(v\/(-12)). What is the closest to z in m, -0.5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + -7 - 2 - 5 - -7.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35 - -34. Which is bigger: k or -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/7)*t)\/t*t**(-1\/10))\/((t**27*t)\/(t\/t**13)) assuming t is positive.\nAnswer: t**(-2827\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 + -583.\nAnswer: -581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 20\/59?\nAnswer: 20\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 94502.6 milligrams?\nAnswer: 94502600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*x**3 - 5*x**3 + 4*x**2 - 3*x**2.\nAnswer: 7*x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 13 - (-6 - -11 - 11)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 34 (b) -2\/17 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000042655 rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 1 - 1)*(1 - 6 + 3) + (2 - 1 - 2)*(y + 20*y - 4*y).\nAnswer: -11*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 7) in base 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(272) + -5*(sqrt(272) - (sqrt(272) - (1 + sqrt(272))))))**2 + -2*sqrt(272)*-6*-5 + -5)*-2.\nAnswer: -218840 - 7520*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1199628 and 1081.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d + 10. Let y be f(-6). Let v be ((0 - y) + -8)\/(-2). Let p(c) = -c**3 + 2*c**2 + c + 1. Determine p(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1395634 to the nearest integer?\nAnswer: 1181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -1, -3, 3 in decreasing order.\nAnswer: 3, -1, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -210\/19 + 1851\/152. Determine h, given that 3\/8*h**3 + z*h**2 + 3\/4*h + 0 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01648 to four decimal places.\nAnswer: -0.0165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.57 greater than or equal to -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**5 - 310*j**4 + 11856*j**3 + 12168*j**2.\nAnswer: 2*j**2*(j - 78)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, h: 3, z: 1, m: 1, b: 1}. Give prob of picking 1 z and 1 h.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k + 24. Let b be r(26). Let a be (-4 + 3)\/(2\/(-4))*b. Is 28 a factor of (a\/(-10))\/(6\/2580)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1)\/j**(2\/9))\/((j\/j**(2\/3))\/j)**41 assuming j is positive.\nAnswer: j**(235\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/85)\/(13*16\/(-1560)).\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-5)\/i)\/i)\/i**(5\/2))\/(i\/(i\/(i*i**(-4\/7)\/i))*i**3) assuming i is positive.\nAnswer: i**(-167\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2213 is divided by 324.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 48 + 2199*u**2 + 90 - 2196*u**2 + 75*u.\nAnswer: 3*(u + 2)*(u + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 78 = -4*d - 70, -2 = -d + h. Sort d, 33, 10, 1.\nAnswer: 1, d, 10, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16716 to the power of 1\/2, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -329 (base 14) in base 3?\nAnswer: -212011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 7 = -2*h, 4 - 1 = -5*g + h. Let r be ((-304)\/4)\/g + 2\/2. What is the highest common factor of r and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u**2\/2 - 651*u - 72588 = 0.\nAnswer: -92, 526","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1191?\nAnswer: 3, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (4 - -5) + (96 - (11 + -22 + 4))?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 y, and 2 q when four letters picked without replacement from ywqqqywrwyqqyyq?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from {m: 7, d: 12}?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1840 = m + 1840 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -12*c - 1. Let u be p(-1). Suppose 0 = -7*v + v + 726. Calculate the highest common factor of v and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 0. Let j be 1\/2 - (-2)\/((-12)\/(-9)). What is the second derivative of s*k - 3*k**j - 3*k + 6*k wrt k?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e0 - -4?\nAnswer: -db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/4 - -1\/4. Let m = -16 - -19. Which is the third biggest value? (a) h (b) 2\/3 (c) 1\/4 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, c: 7}. Give prob of picking 1 c and 1 z.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 78 + -36. Calculate the highest common factor of f and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 + 3*y - 1. Let q be c(1). Let h = 0 - 5\/12. Find the common denominator of h and q - ((-375)\/(-40) + 0).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, o: 1, w: 4, z: 2}. What is prob of picking 1 j and 2 w?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*d = 13*d + 4*m + 20, 0 = 5*d + 3*m - 2 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*a - w - 4, w - 13 = -2*a. Let s(i) = 2*i + 2. Let b be s(a). Let j = 3 - 1. Solve -j + 3 = f, -5*f = 3*k + b for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -6 and 50\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 684 + 49. Let t = -45 - f. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 13221.\nAnswer: -5\/13221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, r: 4, s: 2, a: 3, b: 2, x: 2}. Give prob of picking 1 a and 1 x.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -912 or -773303\/847?\nAnswer: -773303\/847","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 405 and 90?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 6 - 4*n**4 - 4*n - 1 + 4 - 2 to k*n + u*n**3 + g*n**4 + i + a*n**2 and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(-1*sqrt(304) - sqrt(304) - sqrt(304)))\/sqrt(8))\/(sqrt(2) + sqrt(72)\/sqrt(4) - sqrt(242)*-2).\nAnswer: 3*sqrt(19)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1645661*b**4 - 61*b**3 + 7644*b**2 - 3023?\nAnswer: -39495864*b - 366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*n**2 - 329*n**2 + 73*n**2 + 66*n**2 + 138*n**2.\nAnswer: 24*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - 4*x**2 + (27*x + 18 - 18)*(-2*x + 4 - 4).\nAnswer: -58*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6123405 grams to tonnes.\nAnswer: 0.0000006123405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 556 at most as big as 556?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6736, -10835, -14936, -19039?\nAnswer: -23144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 246512 and 215698?\nAnswer: 1725584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*c**6 - 1020*c**5 - 8*c**3 - 7466*c**2 + 10*c + 1.\nAnswer: -960*c**3 - 61200*c**2 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-9))**(39\/4)\/((u**(-47)\/u)\/(u\/(u*u**(28\/5))*u)) assuming u is positive.\nAnswer: u**(-173\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 198055, 200288, 202521, 204754, 206987, 209220?\n\"Answer: 2233*b + 195822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -70*u**2 + 4 + u**3 + u + 0*u**3 + 74*u**2. Let i be k(-4). Let w(s) = s**2 + 3. Calculate w(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 6:47 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 96 and 1476.\nAnswer: 11808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 7:07 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 - 16. Suppose h*i - 2*r - 14 = 0, -2*r + 1 = 5. What is n in 0*n - 1\/3*n**5 + 0 + 0*n**i + 0*n**3 - 2\/3*n**4 = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5070610 - 5070610 + q**3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1999*t - 41 - 2551*t**2 + 1012*t + 1013*t wrt t.\nAnswer: -5102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = 2*p - 3*c + 12, 0 = -4*p + 3*c + 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c - 4*c + 4*c)*(-19 - 12 - 6).\nAnswer: 74*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 28 or 27?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 184570.\nAnswer: 553710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.25 - -1.25. Let n = 273.1 + -273. What is the nearest to -1 in j, -11, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129*x**2 - 348*x**2 - 129*x**2.\nAnswer: -606*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 1211*d + 29. Give p(0).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 divided by 9928?\nAnswer: 19\/9928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + -5c20?\nAnswer: -5c1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 336791 and 27573.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from offffzkfjfzzffjof.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, 3, 3\/14, -3, -5, -1.81, 0.3?\nAnswer: -1.81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*k - 142588 = 2*k - 138568 for k.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 5*q - 9 = 0. Let i be 6\/(-8) - q\/4. Let g = i - -7. Is 2 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -53 - -0.038\nAnswer: -52.962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*r**5 - 2\/5*r + 4\/5*r**2 - 2\/5 - 2\/5*r**4 + 4\/5*r**3.\nAnswer: -2*(r - 1)**2*(r + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1b - 23?\nAnswer: -3e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -181842817*p**3 + 28083027*p + 1 wrt p?\nAnswer: -1091056902*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/10? (a) 3 (b) 1 (c) 4.3 (d) -4\/7 (e) -2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5\/212 or -0.1436?\nAnswer: 5\/212","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of 13*b**4\/12 - 7*b**3\/6 - b - 3. Let q(z) = 2*z**2 - z. Let w(c) = 2*j(c) - 14*q(c). Let g(p) = -52*p. Give w(g(i)).\nAnswer: -5408*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/144 and 169\/502650.\nAnswer: 4021200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 6 = 0, -4*x + 9*l - 29 = 6*l for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w + 60590 = 354. Are w and 5477 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 62*n - 4. Let o(y) = 62*y - 3. Let s(h) = 5*o(h) - 4*u(h). Is s(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -2\/43 (c) 3246\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/143 and -22\/117.\nAnswer: 1287","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 2*s - 20 = -8*w, 0 = 5*s + 25. Let z(r) = -2*r - 9. Let d be z(-6). What is the second derivative of -2*i**2 + 3*i**w - d*i + i wrt i?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 474 and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**4\/11 + 10316*v**3\/11 - 13333344*v**2\/11 + 79464448*v\/11 + 212344832\/11 = 0 for v.\nAnswer: -2, 8, 2576","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1199 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -0.8. Sort n, 2\/7, -1, 8\/5 in ascending order.\nAnswer: -1, n, 2\/7, 8\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -80 = -109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -143*z**2 + 152*z**2 + 125*z**2 + 121*z**2 to c*z**2 + v*z + n and give c.\nAnswer: 255","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1edd4 - -4?\nAnswer: -1edd0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 117242?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -81 divided by 6?\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 AM and 3:39 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/72 and (344\/(-54) + (-3 - -9))\/((-132)\/(-69))?\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -221, -1617, -5411, -12803, -24993, -43181, -68567?\n\"Answer: -200*p**3 + p**2 + p - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - 8*s**2 - s + 7. Let x be k(-8). Let d(y) = -y - 2*y**2 - 4 + 6 + 2 + x. Is d(0) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8 and 4.58?\nAnswer: -36.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*x + 15*p - 121, 146*x - 80*x - 2*p = 61*x - 34 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12171487.\nAnswer: 12171487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -305426 (base 9) in base 7?\nAnswer: -1353051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 5*d - 68. Let x be a(19). Suppose -8*v - x = -171. Calculate the remainder when 124 is divided by v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 o, and 1 m when three letters picked without replacement from {i: 6, a: 4, m: 3, z: 2, o: 2}?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16564268.\nAnswer: 2, 7, 591581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 5*k - 33 = -0*m, -m - 6 = -5*k. Suppose 0 = m*t - 14*t. Let o(g) = -g**2 + g + 1. Calculate o(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3209?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 2 v, and 1 g when four letters picked without replacement from {w: 2, a: 3, v: 4, g: 4, b: 4, n: 3}?\nAnswer: 24\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 82941, 165889, 248837?\n\"Answer: 82948*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 4. Suppose o = n + 4. What is a in o*a - a**2 - 2*a**2 - a + a**2 = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 PM and 12:21 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.0831 and 2.\nAnswer: 8.1662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-69)\/12)\/(6\/(-24)). Suppose -3*d = -0*d + 2*i + v, 3*i - 3 = 3*d. Let n = -44.3 + 44.5. Which is the closest to n? (a) d (b) -4 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + 11*m - 9. What is the units digit of p(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 488635, 977251, 1465831, 1954357, 2442811, 2931175, 3419431?\nAnswer: 3907561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cemmvvcccnnecucnene. What is prob of picking 2 n, 1 v, and 1 c?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*a - 0*a, 4*g = 5*a - 79. Let w = -9 - g. Calculate the remainder when 11 is divided by w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4608*(9032\/16 + -2). Round j to the nearest one hundred thousand.\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90924.46kg to nanograms.\nAnswer: 90924460000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**1\/a)**18*a**(-8)\/(a**3\/a) assuming a is positive.\nAnswer: a**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -25bb92 (base 15) in base 14?\nAnswer: -3522cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 7*s - 7. Let g(d) = 2*d + 62. What is the remainder when x(5) is divided by g(-23)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3652256711?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 178 + -209 - (-43 + 1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 9 = t. Let x(f) be the second derivative of -f**3\/3 - f**2\/2 - f. What is the least common multiple of x(-3) and t?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*t - 4*q + 20, -t + 4*q - 15 = 0. Suppose 4*m + 3*n - 3520 = -m, -m = -t*n - 676. Let c = m - 405. List the prime factors of c.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z + 37*h + 752, 475*z - 470*z = 3*h + 88 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.11 + 0.27. Let b = 281.11 + -281. Let a = x + b. What is a rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -121*h**3 - 44*h**2 - 44*h - 44. Let k = 1651 + -1607. Let y(a) = -8*a**3 - 3*a**2 - 3*a - 3. What is k*y(l) - 3*i(l)?\nAnswer: 11*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 + (3 - 4) + 7 + -5. Put 0, 6, l in descending order.\nAnswer: 6, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25459 and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (32\/(-12) - (-3)\/1)*3. Let v = 43 - 50. Let u = 6 + v. What is the biggest value in t, u, -2\/9?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1472886 (base 9) to base 11\nAnswer: -50797a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = -102 + 30. Let f = 23 - r. Calculate the highest common factor of 44 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 5*n + 134, -2*l - 2*n - n + 102 = 0. Is 7 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.0950472 and 6906.35?\nAnswer: 6906.4450472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8346, -16690, -25026, -33348, -41650, -49926, -58170, -66376?\nAnswer: -74538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 17\/(-5) - (-5 + 10 + -9). Which is the closest to -2? (a) l (b) 4 (c) -4\/7 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1965781 to two decimal places.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 - i**2 + i + 19. Determine g(0).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33771181 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 + g + 13. Let m be (-2 - -3) + 0\/1 + -4. Let d(w) = -44*w - 18. Calculate the remainder when d(m) is divided by q(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 84976 to the nearest integer?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence th when two letters picked without replacement from {r: 4, t: 7, k: 2, h: 3, b: 1}.\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 + 3*n**2 - 4*n - 9. Let m be (-17)\/(-34) - (-14)\/(-4). Let i be h(m). What is the highest common factor of i and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2247211 (base 11) to base 2.\nAnswer: 1111000000010010101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t + 22 + 2*t + 5 - 11*t. What are the prime factors of a(-3)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55401*n - 1580 = -55559*n for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(196\/(-63)))\/((-3)\/2)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (7 - 2) + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 13 = 2*q, 4*m + 3*q - 4 - 4 = 0. Solve m*y - 19 + 1 = -2*a, 5*a - y = 18 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 150.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -701, -2848, -6447, -11498?\n\"Answer: -726*z**2 + 31*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 1:32 PM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/3 + 1\/3. Suppose -2*t = 2*f + 3*f - 21, -2*f - 5*t = -21. What is the second smallest value in i, 2, f, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -418 = 104*w + 1933 - 375 for w.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y = -11*y + 2. Suppose y*s - 5*x = 124, -3*s + 172 = -0*s - 4*x. Let a = s - 32. Solve 4*z + a = 9*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5579025 to the power of 1\/3, to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 15) to base 13\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*q + 153*q = o + 17, 6*o + 5*q = 14 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.03*0.04\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 124 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**2 + 1056*f + 139392 = 0. Calculate f.\nAnswer: -264","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + -1 + -1)*11. Let l(q) = -q**3 - 12*q**2 - 11*q + 4. Let y be l(j). Let p be -2 + 2 + -2 + y. Solve p*k + 4 = -2*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**3\/11 + 854*u**2\/11 + 81120*u\/11 = 0 for u.\nAnswer: -80, 0, 507","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00139952 rounded to four dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 648.5031 seconds to hours.\nAnswer: 0.18013975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -15*l*n*s**2 + 553*l*n*s + 150*n*s - 6*n + 10*s**2 + 4*s wrt l?\nAnswer: -15*n*s**2 + 553*n*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (5 - (-2865)\/30)*1\/18 and 83\/624.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 257 a factor of 74530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 3*k - 3506, 6*k - 11*k = 2*s - 5856. Does 23 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - 28*i**2 - 28*i - 27. Let n be x(-27). Sort -4, -33, -5, n in descending order.\nAnswer: n, -4, -5, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*y - 37*y - 85*y)*(-3*y + 5*y - y) to the form t*y + a + n*y**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -12, -3*j + 3*w - 6 = -21. Put -3, 2, -4, j in decreasing order.\nAnswer: 2, j, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of -x**6\/120 + x**5\/60 - 4*x**3\/3 - 2. Let d(y) be the third derivative of l(y). Give d(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/102)\/(196\/(-1176)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 107.989 + 0.011. What is the biggest value in 3\/5, p, 0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + 1\/(2\/24). Let f = -5 + a. Does 2 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3*s + 7. Let k(m) = -65*m - 155. Let h(d) = -45*c(d) - 2*k(d). Differentiate h(y) wrt y.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-30) + 32\/10. Let i be 2\/(-2*(-1)\/v). Suppose -2*g = -6, 5*j = -i*g + 7*g + 38. Calculate the remainder when 28 is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 5*w = -2*w. Which is greater: w or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14773541.\nAnswer: 59, 241, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164*y = 166*y. Sort 4, -1, 8, y in descending order.\nAnswer: 8, 4, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 a factor of 229818189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -380.34 + 384. Let v = c - 0.66. Put 13, -0.4, v, 0.2 in increasing order.\nAnswer: -0.4, 0.2, v, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/28 and -7\/24760.\nAnswer: 173320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 17205, 34412, 51617, 68820?\n\"Answer: -c**2 + 17210*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 PM and 5:05 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, d: 17}. Give prob of sequence qd.\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -626*o - 762*o = -286*o - 12648 - 53472 for o.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -9\/190?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 + -8. Let l be (-6)\/(-48) + 31743\/72. Suppose -w*s - 2*s = -l. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 264\/299?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -46 - -43. Let y be (-8)\/o*-1*2\/8. Let t = -1.9 + 2.4. Which is the second biggest value? (a) y (b) -2\/17 (c) t (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -2. Let v be ((-36)\/48)\/(2\/(-8)). Suppose 5*y - 2*r + 40 = v*r, 0 = -y - 4*r + 12. Which is smaller: f or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8779.5185937 + 8783.6186. Let y = 76 - 80.1. Let u = y + q. What is u rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65284 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: Factor 498 + 210*b - 1391*b**2 + 708*b**2 + 688*b**2 + 987.\nAnswer: 5*(b + 9)*(b + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*u + 92*u**2 + 54*u - 176*u + 42*u**2 + 74*u.\nAnswer: 134*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3856014 divided by -7221?\nAnswer: 534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 + 8*p + 11. Determine r(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -170341*p + 3 - 2 + 0 - 1.\nAnswer: -170341*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 + a - 1. Let q be k(4). Let t be 20\/26 - 12\/(-52). What is the greatest common divisor of q and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.5 - -0.4. Let x = -1 + -2. Which is the closest to d? (a) 3\/4 (b) x (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(3\/4167) - 1. Suppose -197*l + h = -193*l. What are the prime factors of l?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + (2\/4)\/(2\/(-1678)). Let d = 422 + t. What is the common denominator of -83\/2 and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3401.\nAnswer: 19, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 22825.76 and -1.\nAnswer: -22825.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**5 + 0*d**5 - 2*d**5 + (3*d + 2*d**3 - 3*d)*(-23*d**2 + 29*d**2 + 11*d**2) + 3*d**5 - 11 + 11 - 3*d + 3*d - d**5 + 4*d**2 + d**5 - 4*d**2.\nAnswer: 35*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 5.1. Let s = k - -3.1062. Round s to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4*(10\/(-4))\/5. Let f(x) = 3*x**3 + 3*x**2 - 2*x + 8. Let p(r) = -r**3 - r**2 + r. Let k(l) = s*p(l) + f(l). Let z be k(0). Solve 2 = -2*y - z for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 - 13*c**2 - 5*c + 96. Give q(-12).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*a - 41*a + 20*a - 194*a**2 + 6*a to g*a**2 + m + k*a and give g.\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -56 (b) -2\/3 (c) -1 (d) -0.4 (e) -230\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 115081?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*j**6*o + 3*j**6 - 3*j**2 + 122*j*o - 2*o wrt j?\nAnswer: -1080*j**3*o + 360*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/6 - (-6450)\/36. Let o = 721\/4 - z. Let n = 3 + -2.9. Put o, n, 4 in descending order.\nAnswer: 4, o, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (17\/((-714)\/72))\/((-24)\/(-112))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m - 3. Let g = 23 - 19. Let c be 3 - 16\/g - -1. Give w(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 - 7*r**2 + 2*r - 7. Suppose 0*h + 2*h = 0. Suppose h = -4*t - 4*s + 10 + 14, -4*t + 26 = 2*s. What are the prime factors of q(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 10*f**3 - 25*f**2 - 65*f - 5. Let j(v) = v**4 + 11*v**3 - 24*v**2 - 64*v - 4. Let r(q) = -4*d(q) + 5*j(q). Suppose r(s) = 0. Calculate s.\nAnswer: -3, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 - 5 = -4*h, 0 = -13976*c + 13980*c - 5*h - 30 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5394.6 hours to nanoseconds.\nAnswer: 19420560000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 106\/14 - 10\/5. Let g = m + -163\/28. Which is the smallest value? (a) g (b) 5 (c) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 less than 5.20681989053?\nAnswer: 4.80681989053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2 - 51989895*u + 103979778.\nAnswer: 3*(u - 17329963)*(u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 4*a - 29. Let q be z(8). Let l be -3153 + 4 + (-3)\/q. Round l to the nearest one hundred.\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 204551134.\nAnswer: 2, 67, 313, 4877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 649 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 377616 and 624.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of (-8)\/6*-3*8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40202331 (base 5) to base 2.\nAnswer: -1001101111001110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 166*l + 9830. Calculate j(-76).\nAnswer: -2786","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*p + 137 + 397. Let l = 357 - p. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -89, 10, 1 in decreasing order.\nAnswer: 10, 1, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 10*f = 39*f - 243. Let d be 62\/4 - 2\/(-4). Suppose f*s = s + d. Solve -10 = 2*i - s for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12201101120210 (base 3) to base 7.\nAnswer: 34554522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (3 - (-1 + 3 + -4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 PM and 6:54 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -9851.87 * -2.4\nAnswer: 23644.488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -279*j + 3058. Let i be r(11). Sort 4, i, 2, -23 in decreasing order.\nAnswer: 4, 2, i, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 913 + 2*o**3 - 914 - 2863*o + 2863*o.\nAnswer: 2*o**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 152.5 and 0.116.\nAnswer: 152.616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2189.0000003345 + -2189. Round r to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20883144 + 624689403 = 447*d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239 is divided by 64.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of -11*m**3\/3 - 521*m. Let y(u) = 92*u. Calculate b(y(q)).\nAnswer: -2024*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10581 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -362291 or -362558?\nAnswer: -362558","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.24016929 to four dps.\nAnswer: 7.2402","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2479?\nAnswer: 37, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*g**5 - 2*g**2 + 7 + 150*g**5 + 2*g**2 - 3*g - g wrt g.\nAnswer: 3280*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*x - 4 + 4)*(282 - 115 - 107)*(-x**2 + 3*x**2 - 3 + 4) in the form d + m*x + s*x**3 + t*x**2 and give s.\nAnswer: -840","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - -25. Let i = -34.08 + x. Let o = 0.08 + i. Which is the smallest value? (a) 0.1 (b) -2\/5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5376*j**2 - 3360*j**2 - 9527*j**2 + 5386*j**2 + (-j + 2*j - 3*j)*(-2*j - 2*j + 3*j) as t*j**2 + i + b*j and give t.\nAnswer: -12875","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1517257308 to the nearest integer?\nAnswer: 38952","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-3)\/(9\/30))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a millimeter in micrometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 5*z + 10 = -14, 5*z = -3*b + 23. Let j be 130\/(-3)*((-58)\/377 + 264\/195). Sort b, 3, j in decreasing order.\nAnswer: 3, b, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 302 + -302.001048. What is t rounded to 4 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**22*y**(-34)*y*y assuming y is positive.\nAnswer: y**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*l*q**2*x**2 + 2*l*q**2 + 354*l*q*x**2 - 6*l*q*x - 32*l - q**2*x + 695689*q**2 + 7*q*x**2 + q*x + 1 wrt q?\nAnswer: 8*l*x**2 + 4*l - 2*x + 1391378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*t = -3063 - 369 for t.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 8 + -9 + 1 + -55 + (1 - -2)\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-195)\/13*7\/21*-5. What is the greatest common divisor of 3925 and h?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*b**2 + 0*b**2 + b**3 + 7 + 3*b**2 - 9*b + 313*b - 9 as k*b + l*b**2 + f*b**3 + m and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 209 and 448899187?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 830 and -9.9.\nAnswer: 820.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -16 + -11 + 4 - (-71 + 7)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(3\/4))**(22\/3) assuming i is positive.\nAnswer: i**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 724?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.3 and 54615.\nAnswer: 54614.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -4*g**3 - 8*g**5 - 2*g**4 - 10 - 18*g + 10*g - 8*g**4. Let p(b) = b**5 + b**4 + b + 1. Let r(h) = -j(h) - 10*p(h). Find t such that r(t) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 d when four letters picked without replacement from {f: 13, d: 3}?\nAnswer: 33\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1362580 divided by 1412.\nAnswer: -965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/3 - 98\/(-42). Let a(u) = 4*u - 3. Determine a(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {e: 2, l: 11}?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o - 4*f + 37, -3*o + 9*f + 18 = 10*f for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.03036 - -528.36964. Round f to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/290048 and -75\/6776576.\nAnswer: 74542336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152*p + 650 = -147*p. Let h = 113 + p. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 272 = -4*b + 8*b - 4*o, 4*b - 296 = -2*o. Suppose 0 = 41*d - 24*d - 51. Suppose d*t - 39 = b. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -15 (b) -2 (c) -635\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*((-6)\/2 + 4). Let j be (2 + (-364)\/189)*(f + -2). Which is greater: 2.3 or j?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 10:10 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4*s = -680, 5*s = -17*d + 14*d + 1053. Let x = d + -310. Calculate the lowest common multiple of x and 12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 5235188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-12))\/((-90)\/2268) - (-2)\/10?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {x: 2, c: 5, u: 5}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + 16*j**2 + j - 48. What is h(-16)?\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -6617.4 to the nearest 100.\nAnswer: -6600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 528?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 5*y + 0*y - 11 + 8*y - 14*y. Calculate n(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a769a + -a?\nAnswer: a7690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.5 + -0.5. Let k = -15 + -72. Let q be k\/(-27) + (-3)\/1. Which is the nearest to d? (a) -0.3 (b) q (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-240)\/84*56\/8?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 2*y. Suppose 3*s + s = 0. Let c = y - s. Solve 3*n + 2 - 17 = c for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of -n**4\/12 - 5*n**3\/3 - 9*n**2\/2 - 7*n. Let q be x(-4). Let j = 29 - q. What is the remainder when 53 is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**3 + 815*d**2 + 1690*d - 6600.\nAnswer: -5*(d - 165)*(d - 2)*(d + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1461959441 to the nearest integer?\nAnswer: 1135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + 10*q**2 - 7*q - 8. Let m be f(9). Let p be (3\/2)\/((-3)\/42). Let j = m - p. Calculate the remainder when j is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*o + j + 12, 5*j + 106 = -4*o + 103 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9693285 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fc when two letters picked without replacement from wfffffuwcm?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 0.04 (b) -4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43966210 is divided by 161?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -3, -0.5, 14?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2 = -2*k + 2*f, -5*k - f + 27 = 0. Let b be 3 - 21\/14*-2. Solve k*h = -h + b for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2079*n - 990*n - 1012*n - 231 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 44 + -1755. Is m less than or equal to -1712?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 44\/2 - (-3 + 0). Suppose -w + 25 = -5*p + 4*w, 4*w + t = -p. Let o(d) = -d**3 - 10*d**2 - 11*d - 6. Calculate the least common multiple of o(p) and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 265*z - 111*z - 466*z - 612*z + (0*z - 3*z + z)*(2 - 2 + 2).\nAnswer: -928*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b = -0*b + 5*u - 112, 5*b - 80 = 5*u. Let z = 114 - -7. Let r = z - 42. Calculate the remainder when r is divided by b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(1573) + sqrt(1573) + (sqrt(1573) + -1 - sqrt(1573)) - sqrt(1573)) + -3 - ((1 + sqrt(1573))*3 + sqrt(1573) - sqrt(1573))))**2.\nAnswer: 7700*sqrt(13) + 158525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add -213 and -1327482161.\nAnswer: -1327482374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = 2*n + 16, 2*j - 5 = -114*n + 115*n for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 7*f**2 - 11*f - 2. Let i(k) = -3*k**2 + 5*k + 1. Let g(u) = 5*i(u) + 2*w(u). Let x be g(3). Solve -4 = -r - x for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26327 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4533 (base 6) to base 5\nAnswer: -13230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1714813m to nanometers.\nAnswer: 171481300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6736813 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -171.312339 to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -339 (base 16) to base 4\nAnswer: -30321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -34?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 369 and 17109?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 - -11. What are the prime factors of (-3)\/(z\/(20*2))?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of 0 - 2*b + 1\/6*b**4 + 0*b**3 + 0*b**2. Let y(j) = 4*j - 12. Let f(v) = -3. Let p(q) = 4*f(q) - y(q). Give p(l(s)).\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10366*k + 77421*k + 110636*k.\nAnswer: 198423*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 7*r - 3*r - 1704, -5*r = w + 408. Let f = 1096 + w. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + 7*n**2 - 6*n + 14. Determine o(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = 2*d + d + 9, -5*d + s = 11 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 6, m: 1, s: 1, y: 1}. What is prob of picking 1 s and 2 g?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -133.8 - -133.5. Which is the smallest value? (a) -3 (b) k (c) 1\/2 (d) -46\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*y**3 + y**3 + 28*y**2 - 24*y**2 + 3 - 2 to the form a*y + o + q*y**2 + x*y**3 and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 759 + -438. Let s = g - 316. Solve d + d = o + 1, -19 = -2*d - s*o for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30950 is divided by 231?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-33 + 55 - 54) + 13\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201102002210 + 12?\nAnswer: -201102002121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x + v - 6, -3*v - 14 - 10 = 5*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 358164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 + 3*t + 1. Let c be (2*3\/2 - 2) + -2. Let r be x(c). Round r to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11127561 and 17181.\nAnswer: 33382683","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**3 - 56*o**2 - o + 30. Calculate the smallest common multiple of u(28) and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.15, 1613, 0.4 in descending order.\nAnswer: 1613, 0.4, -0.15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3*o. Let v(p) = -p**2 + 5*p - 325517. Calculate a(v(i)).\nAnswer: 3*i**2 - 15*i + 976551","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9*1*(6068\/246 - 23).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 191574111 - -12314\nAnswer: 191586425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 v when three letters picked without replacement from jvwyj?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + 48?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b*v**4 + 21530*b*v**2 - 63*b*v + 497*b - 2*v**3 + 2 wrt v?\nAnswer: 12*b*v**2 + 43060*b - 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = 4*y + 3*d - 10, -157*d = -4*y - 303*d + 151*d - 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 2:57 PM?\nAnswer: 8:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**2 - 5*b**2 - 20*b**3 + 22*b**3.\nAnswer: 2*b**3 - 6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + 101052510?\nAnswer: 101052502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 11*t**3 - 22*t**2 - 13*t + 67. Does 10 divide o(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 795*a + 1385*a + 79563 = -231*a for a.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrwttwxvwt. Give prob of picking 2 w and 1 r.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 766*m + 5*q - 84 = 762*m + q, -2*m - 12*q = -52 for m.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -1.65886.\nAnswer: 0.497658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -6. Solve -2*q + 3*t - 4*t = 7, s*q + 2*t + 18 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 117 - 113. Suppose 0 = k*a + w - 28, 4*a - 2*w - 3*w = 28. Solve -10 = a*y - 2*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -77 + 232a?\nAnswer: 2263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 2*i + i)*(-5 - 3 + 3) - 2*i + i - i.\nAnswer: -17*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 132200 + 3101?\nAnswer: 140301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -4*k + 6, 0 = -0*k - 5*k + 3*g + 10. List the prime factors of -3 - k - -1*32.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -2*l - 3*l + 3*f, -5*f = -2*l + 437 - 390 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/4))**(-23)\/((n*n**(-2\/25))\/(n*n*n**(-7)\/n)) assuming n is positive.\nAnswer: n**(-1267\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -825305*h**3 - 1040547*h**2 wrt h.\nAnswer: -4951830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1285187*q**4 + 51*q**3 - 40303509*q + 1.\nAnswer: -15422244*q**2 + 306*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -6.7. Let g = 248\/145 + -38\/29. Put d, g, 1 in decreasing order.\nAnswer: 1, g, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -7*(-15)\/175*5*-1. Calculate the smallest common multiple of 96\/20*(-50)\/x and 90.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 7458 + 6438 = 0. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from itwniptnippwn. What is prob of picking 1 w and 1 n?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2 - 4 = 0. Suppose -2*m = z*d - 124, 2*m + 4*d - 151 = -37. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.373 + 5.373. What is the nearest to 2 in -2, -0.06, d?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 68.096 and 24.\nAnswer: 1634.304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -164 (c) -1\/190 (d) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -21782*p + 21323. Determine a(1).\nAnswer: -459","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*j**2 + 125*j**2 + 14*j**2 - 11*j**2 - 35*j**2 - 23*j**2.\nAnswer: 62*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 130442970 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 447 is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -399 + 772*k + 1780 + 500*k wrt k?\nAnswer: 1272","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h. Let b(j) = -2*j**2 - 3. Let c = 34 + -24. Let i(s) = 3*s**2 + 3*s**2 + c + 0*s**2. Let r(g) = -10*b(g) - 3*i(g). Give v(r(f)).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of u**2\/2 + 5*u - 3. Let b be f(-4). Is 6\/5 smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2*r - 49 = -4*p, -r = 3*p - 37. Suppose 3*q + p = 0, q - 6 = -f + 2*q. Is f\/(-7) + 1297\/7 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((84\/(-49))\/(-2))\/((-2)\/(-4)*348\/(-406)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 94567605?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-574748)\/(-12))\/(((-22)\/(-33))\/2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uiuimiimimiemmuzum. What is prob of picking 1 i, 1 z, and 1 m?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 0.0163.\nAnswer: -0.0815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(392) + sqrt(392))*-1*-5)\/((sqrt(64) + -2*(sqrt(64) - (sqrt(64) - 1*sqrt(64))))*3).\nAnswer: -35*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1*154\/(476\/34)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -0.31?\nAnswer: 0.031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 444358506?\nAnswer: 2, 3, 4259, 17389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p + 0*p - 2*p)*(-7 + 7 - 11).\nAnswer: -11*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 w when two letters picked without replacement from {r: 1, w: 5, n: 3, p: 3}.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.2 + -12.2. Let v = p + 9. Let q = -3\/107 + 241\/963. Which is the nearest to 2\/5? (a) v (b) q (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 754 - 757. Sort 13, -4, 2, w.\nAnswer: -4, w, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1154124, -2308315, -3462506, -4616697?\nAnswer: -5770888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/2 - 3*b\/2 - 9.\nAnswer: (b - 6)*(b + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**2 + 67620*m - 165559985.\nAnswer: 5*(m - 2117)*(m + 15641)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 560458710 a multiple of 378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -3*a + a + 36, 4*a = -f + 81. Let d = a - -1. Suppose -3 = -t + q + 4, 0 = q + 5. Solve -4*x + 16 = -t*g, 2*x + 1 = 4*g + d for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 39 + 48*o**4 + 2*o**2 + 0*o**2 - 6*o**4 - 36 - 11*o in the form i*o**3 + d + h*o**2 + s*o + m*o**4 and give m.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-1698)\/(-4))\/((-62)\/(-496))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30444 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - (-62877)\/4) + (-146)\/584. Is -7 + 42\/3 + p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - f - 18 = 0, -m = 2*f - 6 - 3. Suppose 0 = -m*s - 4 + 14. Solve a + 4 = s for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40 + -40. Suppose -3*n = 5*w - 110, p = n - 4*w - 6 - 8. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3 = 1. Suppose -4453 + 461 = -n*z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 63787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116 is divided by 33.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (w + 2*w + 3*w + 2)*(-1 - 2 + 2)*(-7 + 2 + 4) to s*w + f and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -12*v - 29. Let y(p) = 6*p + 14. Let s(t) = 6*u(t) + 13*y(t). Let g be s(6). Let m(a) = 4*a**2 - 4*a + g - 52 - 3*a**2. Calculate m(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by -18\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 2. Suppose -11 - x = 2*r. Let s(g) = -2*g - 4. Let z be s(r). Which is greater: 7 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*z**3 + 26*z + 80*z + 398*z**2 - 397*z**2 - 56*z as i + h*z**2 + r*z**3 + j*z and give j.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2a7 + -5?\nAnswer: -2ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 5*y = -40, 0 = 4*h - 3*y + 39 + 41. Let d be (4\/6 + h\/3)\/(-1). Suppose -6*u - 3*n + d = -3*u, 0 = -2*u + 2*n. Solve 3*k + u = -2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ti when two letters picked without replacement from thffhhthhffhhi.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 431?\nAnswer: 3\/431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 40760640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1553 from 1277.3.\nAnswer: 2830.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 + 23. Calculate the remainder when 15 is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - -101?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.18 in 173, -44, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(16)*-3*-6*5)\/(2*sqrt(8)*-1 - (sqrt(144)\/sqrt(3) + sqrt(48))\/sqrt(6)).\nAnswer: 90*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of -z**3\/3 - 35*z**2\/2 - 212*z - 160. Let t be l(-8). Solve 5 = -t*a - o + 4, -5*o + 13 = 2*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rcf when three letters picked without replacement from xcxrsxrxtfrxrxxtf.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 5*b = -27, -3546*x + 3551*x - 39 = -b for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 4*z = 4, k - 4*z = -2*k - 7*z - 21 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -0*v - 20. Let g = -5 - v. Suppose 11 = -m + 2*l, 7*m - g*l + 32 = 3*m. Let j(s) = s**3 + 4*s**2 + 5*s + 2. What is j(m)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v = -12*s - 177, -44 = -46*v + 41*v + 2*s + 31 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 203251.4 tonnes in kilograms?\nAnswer: 203251400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 62 + -61.9954. Round q to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5322140*d**3 - 10644240*d**3 + 5322101*d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16220633, -16220616, -16220601, -16220588?\nAnswer: -16220577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 5*f + 44, y - 59 = 4*f - 28. Solve 10 = -y*x + 16 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 277168901 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*27 - (6 - (-8 - -9)). Let q = -31 + 64. Calculate the highest common factor of v and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4503?\nAnswer: 3, 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d\/(d*d**(-2\/3)*d)*d*d\/(d*(d*(d*d\/(d\/d**(-3\/5)))\/d)\/d*d*d*d)*(d\/d**(-1\/4))**(2\/151) assuming d is positive.\nAnswer: d**(-3247\/4530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 4, -3, -4, 0 in increasing order.\nAnswer: -6, -4, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**3\/9 + 11038*v**2\/3 + 1727760*v + 1800398600\/9 = 0.\nAnswer: -230, 17017","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4548 and 1829433?\nAnswer: 1137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7042 + 7041.3. What is the smallest value in -2\/19, j, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 23\/4, -8\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/7312416 and 67\/32072?\nAnswer: 7312416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5938?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -114053.3 - -5251.3. Let r = v - -108802.6000017. Let b = r - 0.6. Round b to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*i**3 + 2*i**4 - i**4 - 50*i + 52*i + 3*i**3 - 8 to v*i**2 + u*i**4 + m*i**3 + h*i + k and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.8519kg in grams?\nAnswer: 40851.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 + 6*x + 2. Suppose 3*h - 27 = -12. Let m be h + (4 - 1) + -5. Suppose 16 = -5*v + 2*f + 2*f, -m*f = -4*v - 13. What is a(v)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 537, -3, -2, -18 in increasing order.\nAnswer: -18, -3, -2, 537","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sseeewssseseeseeess. What is prob of sequence sw?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d**5 - 88*d**4 + 812*d**3 + 18512*d**2 - 20464*d - 38080 = 0 for d.\nAnswer: -20, -17, -1, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 0\/(-1))*1. Let h = 20085\/19 + -1057. Which is smaller: h or r?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -302, -1209, -2712, -4805, -7482, -10737, -14564, -18957?\nAnswer: -23910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w. Let a(q) be the first derivative of -16 - 9 - 55*q**2 + 20*q**2 - 58*q + 8*q. Let k(s) = 4*s + 3. Let c(z) = 6*a(z) + 100*k(z). Determine i(c(j)).\nAnswer: -20*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 82360 and 4408.\nAnswer: 1564840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2440211563.\nAnswer: 233, 769, 13619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 29889, 29894, 29899, 29904, 29909, 29914?\n\"Answer: 5*t + 29884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 107059104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -3\/7 (c) -1 (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38 + 41. Suppose 19 = -b + 4*c, 2*b - 4 = -c + q. Let l be b\/((-5)\/120*-4). Solve 2*f + 3*v - 13 = 0, f = 3*f - 4*v - l for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -208104028 divided by -4729637.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14742276 divided by 269.\nAnswer: 54804","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2462, -26564, -66734, -122972, -195278, -283652, -388094?\nAnswer: -508604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2740575 divided by -5.\nAnswer: 548115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15262557 is divided by 60?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 1 + 9 = 0. Let h = 148 + b. Suppose 37 + h = 5*r. Is 26 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/8))**(-3\/2)\/(p**(-19)\/(p\/p**(-20))))**(-5\/7) assuming p is positive.\nAnswer: p**(-3215\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186284 is divided by 2092.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 11*r**3 - 2*r**2 + 2*r + 2. Let u(p) = 144*p**3 - 27*p**2 + 27*p + 27. What is 27*d(x) - 2*u(x)?\nAnswer: 9*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (7572081\/880)\/((-27)\/132). Let y = p - -42064. What is the common denominator of y and 59\/24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 3:23 PM?\nAnswer: 11:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 3*w + 15, -5*x - w - 1 - 4 = 0. Let l(d) = -d**2 - 6*d - 4. Let q be (-15)\/4 + (-1)\/4. Let c be l(q). Solve x = -i - c for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -283*l. Let t(i) = 12*i**2. Determine t(x(n)).\nAnswer: 961068*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 272*k - 95*k + 81 = -3*u + 96*k + 84*k, -7*u = -5*k + 125 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*a - 15*a + 3*h - 49, 4*a + 6*h = 3*a + 22 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 2:02 PM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 6. Let m = -3 + d. Let s = 28 + m. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4*c = -c - 263, -2*c = 4*n - 964. Let f be (-3)\/2 - n\/(-6). Are 115\/3 and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 1658*b**2 - 16603*b - 25. Determine y(10).\nAnswer: -255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 10*v**2 - 12*v. Let y be x(-8). Let o be (-3)\/2*y\/12. Let l(a) = 6*a - 3. Let c be l(o). Calculate the greatest common factor of 7 and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -20*l**2 + 16. Let w(q) = -12*q**2 + 7*q + 2. Let i(h) = -4*h**2 + 2*h + 1. Let z(g) = -7*i(g) + 2*w(g). Calculate -3*y(o) - 16*z(o).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - o = -50, 658*k + 45 = 653*k + 2*o for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 + 1026*m - 127. Calculate a(0).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3104 (base 6) to base 8\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5195188 and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + 16*u**2 + 4*u - 156. Let c be t(-15). Solve -2*o = s - c, -4*o - 33*s + 39 = -38*s for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -7*f**3 + 4*f**2 - 6. Let b be t(-2). Let i = b + -50. Solve 0*l = 4*l - i for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 187, 214, 241, 268?\n\"Answer: 27*u + 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*d - 98*d + 6 = 5*a, 4*a = d + 15 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 454 a factor of 4901079?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000066841 rounded to 5 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of -s**5\/10 + s**4\/6 - s**3\/6 - s**2\/2 + 2*s. What is the remainder when z(-2) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/7 and 52\/196665.\nAnswer: 196665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(162)*-2 + sqrt(162) + 5 - (-2 + (sqrt(162) + -4)**2).\nAnswer: -171 + 63*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + 8*n**2 - 10*n - 1. Let h be a(7). Let l be (h\/26 - -1)\/((-30)\/(-45)). Is -1 greater than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34801 + 38149.2. Round z to the nearest 100.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 15, t: 3}. What is prob of sequence tt?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 PM and 2:54 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 101092195 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 0 - 4*r + 2\/3*r**2 + 2\/3*r**3 = 0. Calculate r.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.85136 days in minutes?\nAnswer: 80425.9584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -377904670 to the nearest 1000000.\nAnswer: -378000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 363\/2 - 186. Let l be 2\/(-5) + (-36)\/10. Calculate the common denominator of l\/2 + (-17)\/(-7) and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 33730586 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 520.197 rounded to the nearest integer?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 - 12*w + 21. Let n be z(-13). Suppose -4 = -2*p + 5*m + 16, -2*m = 4*p + n. Solve p = -2*q - 1 - 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 51\/4 of a kilometer?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -94, 312490 in descending order.\nAnswer: 312490, 1, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, 2, -557, -8 in decreasing order.\nAnswer: 23, 2, -8, -557","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5*(8\/160)\/(14\/16). Let y = -41.3 + 44. Let h = 0.3 + y. Which is the nearest to -1\/4? (a) -0.4 (b) h (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 - 11*l**2 + 16*l + 235. Calculate u(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 79?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -69*q. Let r(d) = 5*d. Determine r(a(i)).\nAnswer: -345*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of y**5\/20 - y**4\/6 - y**3\/3 - 2*y**2 - 378*y. Let n(v) = 4*v**3 - 2*v**2 + 1. Let z be n(-1). Let k = z - -8. Calculate m(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 - 7*h + 8. Let a(s) = 2*s**2 - 8*s + 8. Let q(f) = -f**2 - 5*f + 2. Let i be q(-5). Let x(v) = i*a(v) - 3*t(v). Is x(-7) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3949*x - 53693 + 360*x**2 + 74144 - 3*x**3 - 10451*x + 171549 = 0.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/((-3)\/(-1 + 4)). Suppose 3*o = 6*o - 18. Suppose -o*n + n + 80 = 0. Solve -n = -6*b + a*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 127*b**6 - 14*b**3*q - 6*b**2*q + b**2 + q + 1 wrt b?\nAnswer: 15240*b**3 - 84*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - (20 - 12)) + 1 + 41.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2816) + sqrt(2816) + sqrt(2816) + 0)*-5 - sqrt(2816) - -2*(sqrt(2816) + -2))**2.\nAnswer: 1792*sqrt(11) + 551952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3731*r + 2795*r + 956*r.\nAnswer: 20*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 1 + 2 + (3 + 0 - 4)*(1 - 6 + 3))*(-2*d**3 + 3 - 3).\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -c**3 + 3*c**2 + 28*c - 60 = 0.\nAnswer: -5, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1 + (((sqrt(1275) + -4*sqrt(1275))*-5 - sqrt(1275))\/((6*sqrt(18)\/sqrt(6) - sqrt(3))*-4))**2).\nAnswer: -4145\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 7. Suppose -33 - 59 = -p*i. What is the remainder when i is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -4, -4*j = -3*t - 5 - 9. Let n be 102*(0 - -1)\/j. Suppose -n + 55 = 4*g. Solve s + g = 4 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 446 is divided by 270?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -520.531\nAnswer: 2602.655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/(-1) - (-2 + 7). Let y be 33600\/9 + 12\/18. Suppose z*a + 5*x - y = 0, -5*x = -8*a + 4*a + 5037. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - k - 74 = 0, -k + 320 = 4*q + k. Let i = -46 + q. Suppose -6*z + i + 22 = 0. Calculate the least common multiple of 17 and z.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 + 5*y**2 - 8*y - 11. Give r(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9 + 5b?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8852 and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -a483?\nAnswer: -a481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -4*x + 25. Let a(u) be the first derivative of u**2\/2 + 13*u + 2. What is the least common multiple of x and a(-11)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 745 divided by -5.\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + 7419?\nAnswer: 741d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 8 - 24 = -3*n, -3*n + 20 = -4*d. Suppose -n = -g - 3*g. Suppose 4*q + 5*u = 34, -2*u = q - g*u - 4. Is 2 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*(-10)\/(-225)*(-5)\/60*-9?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16) + sqrt(400)*-4 - sqrt(16))\/((sqrt(80) - sqrt(80)*-6)\/sqrt(10)).\nAnswer: -20*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 11, o: 3, p: 1}. Give prob of picking 2 m, 1 o, and 1 p.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 50789 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -2, -334 in descending order.\nAnswer: 0, -2, -4, -334","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sgg when three letters picked without replacement from {s: 2, x: 6, g: 5}?\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35586 and 108.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 88, 87, 86, 85, 84, 83?\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 16) in base 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 176133*s*z**4 + 12*s*z**2 - 89*s*z + 8*z**2 wrt z.\nAnswer: 4227192*s*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1622353829 to the nearest integer?\nAnswer: 40278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14654, 29258, 43860, 58460, 73058, 87654, 102248?\nAnswer: 116840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*3*sqrt(28) - (sqrt(28) - 3*sqrt(1372)))\/(((-2*sqrt(360) - sqrt(360))\/sqrt(9))\/(sqrt(90) - (sqrt(90) - sqrt(90)*2 - sqrt(90) - sqrt(90)))).\nAnswer: -68*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1455975*k + 1455977*k - 30 = 0 for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jofqjgfe. Give prob of sequence ejff.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16369 by 298.\nAnswer: -16369\/298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 261463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 0*g = 3*g, 0 = -3*g + 15. Let o = -175 + 178. Suppose -2*z + 73 = 5*n - o*z, z = -3. Put n, -3, d in descending order.\nAnswer: n, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/n**(-2\/63))\/(n\/n**2*n))\/((n*n**(-2\/7))\/((n**(-16\/7)*n)\/n)))**24 assuming n is positive.\nAnswer: n**(-992\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 207302923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -1\/4 (b) 126\/19 (c) 84\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w**2 - 2. Let t(m) = -9*m**2 - 63*m + 8. Let k(d) = -4*s(d) - t(d). Let r(q) = q. Calculate k(r(v)).\nAnswer: v**2 + 63*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-6) - 2022\/(-9). Suppose -x = i - 219, 2*i - 488 + 44 = -x. Is i at most as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53 (base 12) to base 4\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27551?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110100100100 - 100011100111?\nAnswer: 10010000111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -22, -113, -272, -499?\n\"Answer: -34*m**2 + 11*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7\/((-21)\/(-6))*1 + 3. Suppose -s*x + 2136 = 596. What is the hundreds digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-36)\/(-10))\/((-12)\/1120). Let a = v + 630. Does 11 divide (1\/3)\/(2\/a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -126*x + 1134. Let m be g(9). Let w(l) = -l**3 + 2*l**2 + l - 4. Calculate w(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6627 + -1?\nAnswer: -6628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of -12\/11*z + 2\/33*z**3 + 1 + 5\/11*z**2. Find o, given that d(o) = 0.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 + c + 5. Let v be l(3). Let b(x) = -5*x**3 - 3*x + 1. Let d(k) = k**3 + k. Determine v*b(s) - 3*d(s).\nAnswer: 2*s**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**2 - 24*k - 72. Calculate f(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 613*p + 4802. Give z(-9).\nAnswer: -715","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21403252 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**3 + 22*a**2 + 604*a\/9 + 320\/9 = 0. What is a?\nAnswer: -16\/3, -5, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 2315712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.047 + -2.047. Let t = -19.16 - -14.16. What is the biggest value in 9, r, -2\/7, t?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12153903?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*j + 39*j + 20, 4*r + 5*j = 59. Calculate the lowest common multiple of 66 and r.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -73470, -73479, -73500, -73539, -73602, -73695?\nAnswer: -73824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4650, -6, -9.\nAnswer: -9, -6, -5, 4650","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -53.61011829 to three decimal places.\nAnswer: -53.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -202 - -205. Solve -4*r - 4*m = -43 + 11, 19 = 2*r + q*m for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r - 2. Let y be p(-9). Let j = y - 12. Let w = -0.6 - -0.3. Which is the biggest value? (a) j (b) w (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 2*m + 2*m**3)*(-7*m**2 - 15*m + 15*m + (2 + 3 - 2)*(3*m**2 + 2*m**2 - 3*m**2)).\nAnswer: -2*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -7, -2, -270, -4 in decreasing order.\nAnswer: -2, -4, -7, -9, -270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*g*t**3*y + 21*g*t**3 + 2*g*t**2*y + g*t*y - 2*g*y - 2*t**3*y + 2*y wrt t?\nAnswer: -18*g*y + 126*g - 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1131 less than -0.0525338655?\nAnswer: -1131.0525338655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (-15 - -4)) + -28 - -52\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ycc when three letters picked without replacement from yycyyycyyyycyyyccy.\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 3*t**2 + 4*t - 7. Let u be s(-6). Suppose -4*i - i + 125 = 0. Let g be (55\/i)\/((-3)\/(-15)). Calculate the highest common divisor of u and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(15\/2)*q**(-2\/3))\/(q**(-2\/15))**11 assuming q is positive.\nAnswer: q**(83\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 109, -5, -2, -185.\nAnswer: -185, -5, -4, -2, 5, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 31341374.\nAnswer: 282072366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 1. Let w(h) = 3*h**3 + 6*h**2 - 5. Let f(y) = 5*a(y) + w(y). Find the third derivative of f(k) wrt k.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 5*u = 26, -3*g + 7*g + 4*u = 24. Solve -4*d = c + 10, -4*c = -d - 4 - g for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/30)\/(((-45)\/3)\/30)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - y + 4*p, -20 = -5*y - 5*p. Let g = y + -2. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 830\/9 + -92. Let f(l) = l**2 - 15*l + 16. Let p be f(14). What is the smallest value in z, p, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j + 0*j + 2*j + (-2 + 6 - 3)*(-2 + 2 - 2*j) + 0*j + 2*j - 3*j + 9*j - 18 + 18 - 274 + 36*j + 274.\nAnswer: 43*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 2:45 AM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 13199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 15050076830 to the nearest 1000000.\nAnswer: 15050000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 17*l = 3*l. Let j(v) be the first derivative of 0*v + l*v**2 + 0*v**5 - 2 + 0*v**3 + 1\/6*v**6 - 1\/4*v**4. Determine c, given that j(c) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -9*n**3 + 11*n**2 + 9*n - 11. Let b = 26 - 13. Let w = 16 - b. Let y(i) = -8*i**3 + 12*i**2 + 8*i - 12. Let v(a) = w*l(a) - 4*y(a). Factor v(j).\nAnswer: 5*(j - 3)*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/20 and 101\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 61689419*q**3*t - 14136367*q**2*t - 3*t wrt q.\nAnswer: 370136514*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - -11225?\nAnswer: 11220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 156 and 195?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 - 1021011200002012?\nAnswer: -1021011200002102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - a**2. Let c(q) = -3*q**3 - 6*q**2. Give -c(m) + 5*l(m).\nAnswer: -2*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d + 1. Let s(l) = 8*l - 2. Let t(a) = -43*a + 19. Let h(m) = 6*s(m) + t(m). Let y = 36 + -50. Determine y*u(o) + 2*h(o).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/14 + 8\/14. Let t = -16.15 + 16. Let x = -0.05 - t. What is the smallest value in 3, x, q?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 a when three letters picked without replacement from eeae.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 0*b**2 + 4*b - 3*b + 60 - 6*b**2 + 5*b**2. Let i be d(0). Let r = i - 16. Does 22 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31 + -55. Let m = -89 - r. Which is the third biggest value? (a) 13 (b) -4 (c) 0 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20793\/4 + 103941\/20. Let q = -1 - -5. What is the closest to -2\/7 in 2, f, q?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-88)\/1980*(-72)\/(-27)*-9.\nAnswer: 16\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2052.6 + -2056. What is the third biggest value in -1\/2, -2\/11, u, -3\/8?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = b + 5*n - 215, -4*n - 114 = -2*b. Suppose b*v - 59*v = -32. Solve 3*f - 14 = -v for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 866603540?\nAnswer: 2, 5, 11, 1549, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n**5 + 4873*n**4 + 74765*n**3 - 35561*n**2 - 74770*n + 30688 = 0.\nAnswer: -959, -16, -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 42047 + -41457. What is the greatest common divisor of 250 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.164 (b) 0.4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 698 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c - c - c + (3 + 2 - 2)*(-3*c + c + 0*c) + (c + 3*c - 5*c)*(-9 - 2 + 5).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ell when three letters picked without replacement from ltkklkllklnebkbk.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/15)\/(-1 - 1). Let r = -26 + 132\/5. Which is the third biggest value? (a) t (b) -4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/247? (a) 2.1 (b) -2\/15 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 537669\/363 - 17 - (4\/(-11))\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -2\/33 (b) 33 (c) -0.3 (d) 0.1 (e) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9 + 31)*(22952\/3824 + -6). Which is greater: n or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*j**4 - 8*j + j**3 + 3*j**2 - 16.\nAnswer: -(j - 4)**2*(j + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ogv when three letters picked without replacement from vggov?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, -1738, -15 in decreasing order.\nAnswer: 3, -4, -15, -1738","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 109\/567694?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4458 + 49118\/11. What is the third smallest value in 0, 5, 4, f?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -333568, -1333786, -3000824, -5334688, -8335384?\n\"Answer: -a**3 - 333404*a**2 + a - 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 2 = 2. Let s be (-3 - -1) + 6\/g. Differentiate -4*q**2 + 2*q**2 - 4 - s*q**2 + 5*q**2 with respect to q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5176, 5177, 5188, 5215, 5264?\nAnswer: 5341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -4*u**2\/7 - 1780*u - 588864\/7 = 0.\nAnswer: -3067, -48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 + 2)\/1 + 2. Let v = 17 + -4. Suppose -l*r = -5*r + 2*a + v, 2*r - 16 = 5*a. Solve 0 = -r*f, h + 0*h + 5*f - 3 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 9*z**3 - 2*z**2 - z + 2. Let j(c) = -8*c**3 + 3*c**2 + c - 3. What is -2*j(w) - 3*n(w)?\nAnswer: -11*w**3 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0008196 rounded to 4 decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-4)*(-544)\/612*3\/(-20).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, e: 1, k: 4, z: 2, r: 1, x: 3}. Give prob of sequence red.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -51 + 19 + 2*z + 16 + 14. Determine o(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**3 - 6*f**3 - 9*f**3)*(-3*f**2 + f**2 + 4*f**2).\nAnswer: -26*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**3*d*(d\/(d**(-9\/4)*d))\/d*d*d)**(-18) assuming d is positive.\nAnswer: d**(-261\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28 + -27.8. Let u = -1 - 4. What is the nearest to 1 in -2\/5, k, u?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mk when two letters picked without replacement from {m: 5, b: 1, k: 3}?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -4) + -3561 + 3572?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1528*a + 1837 = -2364 + 24197 + 4452 for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**5 + 4*u**4 - 12*u**3 + 13*u**2 - u - 5. Let o(f) = -f**5 - 3*f**4 + 11*f**3 - 13*f**2 + 2*f + 4. Let y(n) = -4*b(n) - 5*o(n). Factor y(s).\nAnswer: s*(s - 2)*(s - 1)**2*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1120 (b) 1 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2, 2\/37, 0?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence agx when three letters picked without replacement from {g: 1, a: 1, e: 1, y: 1, x: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) 2 (b) 4 (c) 1\/4 (d) 1.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4 + 10)\/(-2))\/(-1). Let u = y + -9. Let i(d) = 4*d**3 + 4*d**2 + 9*d - 2. Let k(j) = j**3 - j**2 + j - 1. Let z(m) = i(m) - 3*k(m). Give z(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 884 - 35*w + 913 - 6*w**2 + 30*w.\nAnswer: -6*w**2 - 5*w + 1797","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2354*n**3 - 11*n**2 + 11*n + 11. Let s(c) = -471*c**3 + 2*c**2 - 2*c - 2. Determine -2*a(t) - 11*s(t).\nAnswer: 473*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t**2 - t**2 + t**2)*(6*t**3 - t**3 - 4*t**3).\nAnswer: 4*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d**3 + 3*d - 1. Suppose q + 2 = 4. Let j be i(q). Suppose 2*a + 4*m - j = 19, 2*m = -5*a + 108. Is 11 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.3 + -0.8. Let x = d - -1.1. Which is the biggest value? (a) -7 (b) x (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, y: 4, d: 6, u: 1, p: 2}. What is prob of picking 1 p, 1 y, and 1 t?\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 79 - 79. Suppose 0 = 2*t - 6. Solve t*g - 2*g = i for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(468))**2*2 - -3*(sqrt(13) + -1 + sqrt(1300) + sqrt(13)).\nAnswer: 12*sqrt(13) + 935","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of p**5\/60 - 3*p**4\/8 - 7*p**3\/6 - 23*p**2 + 2. Let h = 25 - 13. What is the units digit of r(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100100001001111 (base 2) in base 8?\nAnswer: 44117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-120)\/70*(154\/110)\/((-4)\/(-10)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 20*m - 83 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32\/(-8)*48\/(-64).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -475 (base 9) to base 12\nAnswer: -288","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 696, 2778, 6252, 11118, 17376, 25026?\nAnswer: 34068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g**3 + 2*g**2 - 8*g + 2. What is d(-4)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/4*((-91)\/(-7))\/416.\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1156405099 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 45869 <= 45868?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 233018055?\nAnswer: 3, 5, 199, 26021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -698 + 720. Let q(s) = 3*s. Calculate the remainder when w is divided by q(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5000)*1)\/(3*sqrt(1000)).\nAnswer: sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 j when four letters picked without replacement from gjguggggguggugggjg.\nAnswer: 13\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*z = -73*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 20 = 5*d, -52 + 38 = -4*d + 2*t. Which is the nearest to 288? (a) d (b) 2\/3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 19, 7, -7, -23, -41, -61?\n\"Answer: -s**2 - 9*s + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5967)\/(-102) - ((-4709)\/(-714) + 2\/(-21))?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5712, -5514, -5316?\nAnswer: -5118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1630230 (base 7) in base 5?\nAnswer: 24211223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -53 - -13. Is (k\/12)\/((-6)\/162) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 436520844 to the nearest integer?\nAnswer: 20893","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3108027 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 less than -559?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that u**4 + 28331*u**3 + 56658*u**2 = 0.\nAnswer: -28329, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of -5*h**4\/6 + h + 2. Let b(l) be the first derivative of p(l). Let g(y) = 174*y - 504*y + 155*y + 179*y. Calculate g(b(m)).\nAnswer: -40*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 AM and 11:48 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (80\/16)\/(-2*(40\/16)\/(-5)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 352, 395, 440, 487, 536?\n\"Answer: s**2 + 40*s + 311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 168 and 6.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 128 - 653\/5. What is the closest to c in -4, -1, -2\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 + 3*w + 2. Let c = -10 - -13. Suppose 0 = -4*p + c*g - 12, p - g = g - 3. Let r = 0 - p. Determine m(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 5*s = 13, 63*p + 3*s = 67*p + 19. Let v be 1 + ((-278739982)\/(-14) - 2\/p). Round v to the nearest 1000000.\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -533957535*f - 328754050.\nAnswer: -533957535","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(2\/9))\/(j\/j**1))\/(j**(-2\/13)*j**(4\/7)) assuming j is positive.\nAnswer: j**(659\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**0*f*f*f**8*f)\/(((f*((f\/(f**(1\/6)\/f))\/f)\/f*f)\/f)\/f**(2\/11)))\/((f**1\/f)**23*(f**0)**(-1\/18)) assuming f is positive.\nAnswer: f**(683\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.67 + 0.47. Let r = -1.2 - o. What is the second smallest value in -0.5, r, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 3*d + 17 = -4*x, -x - 4*d = -18 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1222, 2519, 3896, 5353?\nAnswer: 6890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5563175750 to the power of 1\/2, to the nearest integer?\nAnswer: 74587","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 5*r**2 + 4*r + 4. Let y(g) be the second derivative of -9*g**4\/2 - 15*g**3\/2 - 45*g**2\/2 - 36*g. Give 45*x(c) + 4*y(c).\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32477*x - 30996*x + x**3 + 63473*x.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1718\/77 - 160\/7. Suppose 1 = p + 3. What is the third smallest value in 0.7, p, d?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 3*q - 20 + 40 = 0, 2*o + q - 20 = 0. What is the least common multiple of o and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 252 divide 180180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 41751001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 3:03 PM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 191956.\nAnswer: 2, 37, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 + 12. Sort -0.4, n, 4 in ascending order.\nAnswer: n, -0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2164388 and -123.\nAnswer: -26.6219724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 2*d + 166, -y + 11 = -3*d + 50. Let x = 75 + y. What is the third derivative of -12*m**2 - x - 2*m**5 + 33 wrt m?\nAnswer: -120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.018162234 to one dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7095 is divided by 322?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = g - 4*m - 11, m + 1 = 0. What are the prime factors of ((-19)\/3 + 1)*(-18)\/g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 3 + 9*h**2 - 2 - 3 - 2*h - 8*h**2. Calculate w(6).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 14*d**2 - 38*d + 4641. What is the tens digit of o(51)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402033563 to the power of 1\/3, to the nearest integer?\nAnswer: 738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-1) + -1 + -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/18*(342\/3)\/(9\/((-729)\/108))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hej when three letters picked without replacement from eujdh?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -309 + 309.4. What is the nearest to -2 in j, -3, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -576*p**3 - p**2 - 3*p + 1. Let n be h(1). Let l = n - -1519. What is the hundreds digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 + 3*s + 5. Calculate d(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 15982639 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -5849*a. Let x(u) = 2*u**2. Determine x(q(r)).\nAnswer: 68421602*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*n + 1092 = 38*n + 19*n for n.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 6*h - 5*h + 5*o, -o = -5*h + 24 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 367 + -367.5. Sort 2\/3, -0.3, k, 5\/2 in descending order.\nAnswer: 5\/2, 2\/3, -0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 302\/10 + (-2)\/10. Let j = -13 + w. Solve -j = 5*k + 8 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqxqqxq. What is prob of picking 1 x and 1 q?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(245) + -3.\nAnswer: -3 + 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14858*b**2*c**2*v**3 + 4*b**2*c**2*v - 100*b**2*v**3 - b**2*v**2 + 3*b*v**3 + 2*b*v - 6*c*v - 1 wrt c?\nAnswer: 29716*b**2*v**3 + 8*b**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 25 = 21. Suppose n + 3*n - 4 = -k, d*n + 4 = -3*k. Solve 5*i - 5*o + 35 = 0, 4*i - n*o = -5*o for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26 - 49. Let m = -16 - x. Solve 2 - 18 = 4*p, 5*i + m = -3*p for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.8 - 3.2. Let y = s + -2.1. Put -0.2, y, -3 in increasing order.\nAnswer: -3, y, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**3 + 550*n**2 - 5*n - 550.\nAnswer: 5*(n - 1)*(n + 1)*(n + 110)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -123 + 120. What is the smallest value in -4, -0.07, g?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 - 3*k - 5. Let l be o(5). Let j(z) = -z**2 - z + 2. Let g be j(0). Let c = l + g. List the prime factors of c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.7 - -2.6. Let m = g + -0.8. What is the biggest value in -1, -2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4543, -4542, -4541, -4540, -4539, -4538?\nAnswer: -4537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 to the power of 1\/2, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 4774?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*-5*(20 - 21). Let f = -5 - -10. Solve -q - f = 2*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-7) + (-10)\/35\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*142\nAnswer: -42.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 7:09 PM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**3 + 402*q + 513*q + 2*q**3 + 0*q**3.\nAnswer: 3*q**3 + 915*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 134129?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -133*k**3 + 2*k**2 + k. Let d be q(-1). Suppose -3*w - 14 = -d. Solve 0 = -3*c + 4*m - 7*m, -w = -3*c + 5*m for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f = 7*f + 222. Let z = f - 30. Let m(l) = l**3 - l - 3204*l**2 - z + 3204*l**2. What is m(0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 294\/5 + -59. Which is the second biggest value? (a) 0.2 (b) o (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 13*x**2 + 27*x - 116. What is u(5)?\nAnswer: 344","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*o - 9*o - 7*o + 67*o.\nAnswer: 90*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -4, 7\/6, 432\/67?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5492.9 - 13416.386?\nAnswer: -7923.486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.1, -5, -75?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j = 3*j + 30. Suppose -3*q - j = -0*q. Let n(f) = -16*f - 3. List the prime factors of n(q).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1212 (base 3) in base 4?\nAnswer: -302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (3 - -1) + (1 - 8).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -244?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 176 divide 75039360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 5*y = -5*k - 32, -k - 22 = -5*y for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g + 35. What is w(17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 2 s, and 1 k when four letters picked without replacement from isomsdoskskkksi.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - 1a9e5d0?\nAnswer: -1a9e5d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 190, -33, 0.4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 - -1) + 0 + 6. Suppose 0 = x - 46 - 2. Let p = -32 + x. Solve 0 = -u*n - 0*n - p for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1708 and 584990.\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w - 6. Let z(i) = 0 - 4 + 2 + 0 + 3. Determine k(m) + z(m).\nAnswer: -2*m - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 698 is divided by 689.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, d: 3, h: 1, w: 7}. What is prob of sequence ud?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -25574, -51284, -77002, -102728, -128462, -154204, -179954?\n\"Answer: -4*d**2 - 25698*d + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00105487 to six decimal places.\nAnswer: 0.001055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -7, -5, -1412.\nAnswer: -1412, -7, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f - 6 = -4*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.37 + -2.4. What is the second biggest value in y, -1, 0.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*849.\nAnswer: 84.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vrxrvxvvvrxr. What is prob of picking 1 r and 2 v?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 1582 = -1046. What are the prime factors of t?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 - 4*w**2 - 5*w. Let m be c(-1). Solve 2*z = -0 - 4, 0 = -3*k + z + m for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-396)\/90*50\/(-55)*(-231)\/(-28)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -t + 14828, -2256*t - 14824 = -2257*t - 3*x. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/6 and 111\/340.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 3*v = 1, b - 4*v + 914 = 924 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -12 + 5 - 11 - 3*s + 4*s. Let y be n(19). Sort -4, 5, y, 2.\nAnswer: -4, y, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14625114 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 5*d - 28 = 2*v, -4*v + 48 = -4*d. Solve -5*h = -10*h - 4*n + 8, v = 2*h + 4*n for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 153*h - 21. Let w be k(8). Let q be (-14)\/21 + 820\/w. Let f = -1478\/8421 - q. Which is smaller: 0 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + 8*r - 2. What is g(-8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-27))\/(1\/6)*-1.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, z: 3, o: 13}. What is prob of picking 1 o and 1 z?\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -1 + 3 + -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-9 - -4) + -5 + 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -49, -40, -7, 62, 179, 356?\n\"Answer: 2*f**3 - 5*f - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6966, 34769, 81116, 146013, 229466, 331481, 452064?\nAnswer: 591221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q**2 - 66*q + 127. Let r(y) = y**2 + 22*y - 43. Determine 3*n(m) + 8*r(m).\nAnswer: 2*m**2 - 22*m + 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - 11*k**2 - 16*k + 16. What is y(12)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d + 1. Let v(p) = 10*p - 7. Let g(c) = -v(c) - 6*z(c). Let s be g(-6). Let w = s - -24. 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 lowest common multiple of 3044 and 859169?\nAnswer: 3436676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 8*t**3 + 7*t**2 + 7*t - 7. Let z(l) = 7*l**3 + 6*l**2 + 6*l - 6. Let a(p) = 3*p - 26. Let n be a(11). Calculate n*z(f) - 6*r(f).\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 + 7*p**2 - 4*p + 7. Let x be ((-1)\/(-2) - -5) + (-2)\/(-4). Determine t(x).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -6*b + 4*h + 12, 4*h + 28 = 5*b. Let g be -1*b\/20*-1. Let m = 3.051 + -0.051. What is the nearest to -2 in m, -2\/25, g?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (790 - 691) + (-18 - -1)\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-24)\/(156\/13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 4*h + 52 = 0, s - h - 2 = -20. What is the remainder when -3 + 2 - (s - 1) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-368 + 185 - 816)*(9*c - 5*c + 5*c) to the form m*c + u and give m.\nAnswer: -8991","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) + sqrt(204)*-3*1 + sqrt(204) + (-2*-1*sqrt(204) - sqrt(204)))\/(sqrt(144)\/(sqrt(72)\/sqrt(294))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to 6\/2418337?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54)\/6*25*(-14)\/210*(-19)\/(-5)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-84))\/(3\/(-12)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 - ((7920\/(-15))\/22 + 1)) + (-18)\/(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 3:30 PM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -119, 0, -3 in descending order.\nAnswer: 1, 0, -3, -119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*i + 8*i - 69*i to the form b*i + w and give b.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -3*b. Let x(g) be the first derivative of -7*g**2\/2 - 6*g - 28. What is x(f(y))?\nAnswer: 21*y - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -215993, -1728027, -5832119, -13824299, -27000597, -46657043, -74089667?\nAnswer: -110594499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - c + 10088160 = 0, 0 = 2*o - c + 253451 + 3781813. Let x = -1988439 + 5420807. Let l = x - o. Round l to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6614645202?\nAnswer: 2, 3, 11, 2477, 13487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -17*z**3 - 10*z**2 - 8*z + 3. Let x(n) = -3*n - 1. Let d be x(2). Let j be p(d). Round j to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in -17, -44\/3, 26.9, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -850 = -428*v + 513*v for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 6489227077?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-2)*-3*(-98)\/(-1176)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 69, -1\/2, 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -28420979 * -0.3\nAnswer: 8526293.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 172054826?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) 2 (c) 185 (d) 135658\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + x - 7 = 0, x = -4*g + 4 - 11 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of -7*t**3\/6 + 17*t**2\/2 + 13*t - 2. Calculate the remainder when p(-4) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of -2*i**6\/5 - 35*i**4\/24 - i**3\/6 + 28*i**2. Find the second derivative of u(f) wrt f.\nAnswer: -288*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -419050472690?\nAnswer: -419050472695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 243 and 58074?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 311 is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 490 by 12.\nAnswer: 245\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 + 5*d**2 - 1. Let b be (-22)\/5 + (-15)\/25. Calculate i(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27688754 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -198 divided by -33.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.266 and -1015?\nAnswer: 269.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*x**3 + 361099*x**2 + 24*x**3 - 360881*x**2)*(-3*x**2 - x**2 + 3*x**2).\nAnswer: -10*x**5 - 218*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -53755*g**3*n*v**3 - 14*g**3*n + 169*g**3*v**3 - 4680*g*v**3 wrt n?\nAnswer: -53755*g**3*v**3 - 14*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of w**4\/2 - 5*w**3\/3 - 2*w**2 + 3*w - 16. Let v be z(3). Suppose 0 = -g - 0*g - 2. Put -5, v, g in descending order.\nAnswer: v, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**21)**(-26\/7)*(v**2\/v**(-1))\/(v**3\/(v*v*v\/v**(5\/4)*v)) assuming v is positive.\nAnswer: v**(-301\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1302.\nAnswer: 2, 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.066 in -3, -0.3, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-58)\/(-8) + 3\/(-12). Let z = -4 + s. Which is smaller: 2 or z?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -39, -97, -189, -315, -475?\n\"Answer: -17*j**2 - 7*j - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-66)\/18*12*(-84)\/1232\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*x + 18*x + 24 - 44 + 14.\nAnswer: 50*x - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/150 and 49\/79200?\nAnswer: 79200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7\/702 - 2671\/3861. Find the common denominator of d and -187\/2250.\nAnswer: 24750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1014, 2008, 3002?\nAnswer: 3996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 u when two letters picked without replacement from {u: 4, g: 2}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -66*a**2 + 0*a + 72*a**2 + 3*a**4 - a as p*a**2 + z*a + r*a**3 + o*a**4 + f and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 23 = 4*d, -2*d - 5 = -z + 2. Let t(u) = -u**3 - 8*u**2 - 7*u + 2. Let p be t(-7). Solve 0 = z*j + p*j + 25 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 4*x - 16 = 0, -y - 3*x = 2*y - 12. Which is the third smallest value? (a) y (b) 6 (c) -0.3 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 43*i**6 + 9*i**4 - 429*i**2 wrt i?\nAnswer: 5160*i**3 + 216*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 63 - 183b56?\nAnswer: -183ad3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*b + 22. Suppose 4*p + 5*z = 52, 10*p = 5*p + 5*z + 20. Let t = b - p. Solve -t*i + 0 = 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 - 1225*n + 121*n**3 - 8*n**3 - n**4 + 1227*n as r*n**4 + s*n**3 + q*n**2 + p*n + v and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*j**2*m**3 - 9*j**2*m**2 - 67694*j**2*t + 13*j*m**3*t - 1117*j*m**2*t + j*m*t - 2*m**3*t wrt j?\nAnswer: 8*m**3 - 18*m**2 - 135388*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 + 23. Suppose 2*w + 2*w + n + 113 = 0, 5*n = -4*w - 133. Let b = -19 - w. Calculate the least common multiple of o and b.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 62\/22 + 18\/99. Solve -k + l = -2*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 45 - 42.4. Let w = 1.4 - j. Put 0.5, 0, w, -1 in descending order.\nAnswer: 0.5, 0, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 g when three letters picked without replacement from gzgfz?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2377 * 0.268.\nAnswer: 637.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-1 + (sqrt(11) - sqrt(55)\/sqrt(5)) + sqrt(11) - ((sqrt(121) + 1*sqrt(121))\/sqrt(11) - sqrt(11))) + 3*sqrt(99) + 0 + sqrt(99))**2.\nAnswer: -96*sqrt(11) + 1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 144\/28 + ((-12)\/(-28))\/(-3). Solve q = -3*q - 3*y + 15, u = q + y for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567) - (1 + sqrt(567)*-2))**2 - ((1 + sqrt(567))*4)**2.\nAnswer: -3984 - 342*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of 8*n**3\/3 - 53*n**2\/2 - n + 1647. Let z(w) = -w. Give z(s(k)).\nAnswer: -8*k**2 + 53*k + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - 4*k**2 - 6*k + 7. Let c(i) = -i**2 + 5*i - 1. Let q be c(3). Let o be a(q). Suppose o*x + x = 48. Is x a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.2600784 millimeters?\nAnswer: 0.0000002600784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -431 - 27?\nAnswer: -458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1529.8086944 - -103?\nAnswer: -1426.8086944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -298667*p**2*y - 85949*p**2 - p wrt y?\nAnswer: -298667*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-540)\/(-300)*(-1 - 1*-6). Suppose -7*q = -s*q + 20. Suppose -4 + q = -3*t. What is the second smallest value in 4\/7, -0.2, t, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from leeos. What is prob of picking 2 e and 1 l?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*z = -104*z + 1600. Does 16 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4242 is divided by 4102?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 13, 175, -19\/16.\nAnswer: -19\/16, 0, 13, 175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3077692?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + 2*w**2 - w - 3. Suppose -2*d - 5 + 11 = 0. Calculate the remainder when 115 is divided by g(d).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f. Let u(j) = -1228204419*j**2. Give d(u(n)).\nAnswer: -1228204419*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**8\/(u\/u**(-3\/23)))**(-47) assuming u is positive.\nAnswer: u**(-7426\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 + 66*d - 36. Calculate v(-59).\nAnswer: -449","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of 31\/12*w**4 + 73\/6*w**3 + 83*w**2 + 0*w + 0. Find the first derivative of m(p) wrt p.\nAnswer: 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*w**3 + 36*w**3 - 23*w**3.\nAnswer: -19*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -19*y**2 - 10*y + 3. Let d be m(0). Suppose i = 4*i - 6. Solve 3*f - 12 = 0, -i*w = -4*f + d*f + 6 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 7*t = 20. Suppose -t*b + 10 = -10*b. Let p(i) = -33*i + 1. Is p(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 181.23077 and -0.282.\nAnswer: 180.94877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -87 - -125. List the prime factors of u.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 0*q + 3*q)*(10*q + 28*q - 15*q).\nAnswer: 23*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_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: List the prime factors of 6234.\nAnswer: 2, 3, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**4\/3 + 12*v**3 - 34*v**2\/3 - 12*v + 35\/3.\nAnswer: -(v - 35)*(v - 1)**2*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29, 72, 115, 158, 201, 244?\nAnswer: 287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2\/5 (b) -0.29 (c) -1520\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(1053) + (-1*sqrt(1053))**2 + sqrt(13).\nAnswer: 10*sqrt(13) + 1053","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zhzhhzh. What is prob of picking 1 h and 1 z?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-4)\/(((j*j\/j**(2\/13))\/j)\/j))**7*((j**(2\/15)\/j)\/j)\/j*j**(2\/7)*(j*j*j**1*j)**(4\/11) assuming j is positive.\nAnswer: j**(-421163\/15015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 117\/36727348 and -63\/26233820?\nAnswer: 183636740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2679 a factor of 1989562029?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 633852560 and 704.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 a factor of 626480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*l - 36*l - 38*l - 6 - 44*l + 198*l.\nAnswer: 32*l - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 49 + 19. Let k(t) = 1 + 133*t**2 + 0 - p*t - 149*t**2 - t**3. What is k(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (57 - 132 - 10216*p + 75)*(0*p + 0*p + p) to s + a*p + c*p**2 and give c.\nAnswer: -10216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + w - 19, 10*k - 9*k - w - 17 = 0. Calculate the remainder when 3076 is divided by k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-388)\/15 + 16\/(-120). Let h be (-65)\/d*2\/5. Solve 0 = 2*m - h + 5 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 33 = 3. Let j be 9\/(-12)*p\/(-15). What is the smallest value in j, -3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -2, 5, 1\/4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -12 (b) 0.2 (c) -2 (d) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2469659\/10 bigger than 246967?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-20)\/(-8)*-3*2\/(-3). Suppose -23 = -y*w + 7. Suppose 10*b - 46 + w = 0. Solve -b*o + 9*o = -10 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 800*m**6 + 418*m**2 - 2*m wrt m.\nAnswer: 96000*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1171 is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1785*f = 1752*f - 231 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 + 7*h**2 + 6*h + 2. Let z(p) = 6*p. Let v be z(-1). Let c be l(v). Suppose 0 = -c*d + 4 + 2. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -13*((-21)\/63)\/(1\/18) is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 102228?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 26*f**2 + 428476*f - 65920.\nAnswer: 2*(f + 16480)*(13*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 v when four letters picked without replacement from vzbvvbpppbpbb.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/9696 and -119\/6060.\nAnswer: 48480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1643871 to the power of 1\/2, to the nearest integer?\nAnswer: 1282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-51)\/((-1020)\/(-16))*60\/4*2\/(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1071228, -2142601, -3214116, -4285773?\nAnswer: -5357572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-10)\/25)\/(2\/10). Let c be 45\/((-1 - v) + 0). Suppose -c = -3*s - 0*s. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -116 - -298. What is the greatest common divisor of z and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*u - 98*u**2 + 97*u**2 + 14 - 56.\nAnswer: -u**2 - 23*u - 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21\/794 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 323*w = 61*w + 334312. Solve -1283*u + w*u - 7 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -55 - (533 - 545)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.4 + -2.6. Let n be 46\/(-14) - (1 + -4). What is the third smallest value in 4, t, n?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 164308 and 884?\nAnswer: 36312068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 + 107*f - 974. Let t be p(10). Let j(i) = i**2 + 1. Let w(v) = -6*v**2 + 6. Give t*j(b) - w(b).\nAnswer: 2*b**2 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -12133 divided by 12133?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(7\/2))**2 assuming p is positive.\nAnswer: p**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n. Let i(z) = 7*z. Let t = -5 + 6. Let a(r) = t*i(r) + 5*o(r). Let k(j) = 2*j**2. Determine k(a(w)).\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2974, -5950, -8926, -11902?\n\"Answer: -2976*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77288 is divided by 226?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -211729460*m**2 + 40615*m + 738.\nAnswer: -423458920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36.5 + -114.8. Let b = -16.1 + f. Round b to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11067 times 55.82\nAnswer: -617759.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 - 4*u - 5. Let x be w(-1). Solve x = 4*d - 8*d + 20 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 147453*3\nAnswer: 442359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -398*s + 281*s - 40*s - 577*s + 1 + 5 as r*s + t and give r.\nAnswer: -734","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 398584694 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 6*s. Suppose 4*n = -4*j + 8, s = j + 3*n - 7 + 1. Solve -4*z - 24 = -4*p, -5*z + 4*p - 26 + j = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1260056 plus 2072.3?\nAnswer: -1257983.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 4*c**2 - 4*c - 4. Let v be s(-1). Suppose -5*j - 18 = -v*u, 2*u - j - 2 = 4. Sort -4, 9, 3, u in descending order.\nAnswer: 9, 3, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2029698.5 to the nearest one hundred thousand.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6446?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -20.917674 to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -2*f + 284, -4*f - 5*m = f - 770. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34089\/35 - -6248\/7. Let c = l - -81. Let v = -63 - -251\/4. What is the biggest value in v, c, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 5*(-18)\/(-45)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -x**3\/3 + 4*x**2\/3 + 5*x\/3 = 0?\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -11 (c) -0.123\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 10346453 (base 7) to base 9\nAnswer: 1600148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g**3 + 41*g**2 - 20*g. Let p be m(20). Put 1, -4, p, -1 in decreasing order.\nAnswer: 1, p, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 4, 0.4, -3 in decreasing order.\nAnswer: 4, 0.4, -2\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37804338 to the nearest integer?\nAnswer: 6149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/(-40)*(-4)\/10.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3786576 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 58127462639 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 14 = -4*j. Suppose 3*t = 4*z - j, t - 5*z + 29 = 3*t. Suppose -t = 3*c - 5*v, 0 = 3*c + v - 0*v - 4. What is the smallest value in 0, c, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - o - 20 = 0. Let b = o - -11. Let p = -6 + b. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 8*b**2 - 103*b - 30. What is w(13)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -97487 - -97490. Solve -9\/2*u**4 + 15\/2*u**3 + 27\/2*u + 39\/2*u**2 - v*u**5 + 3 = 0 for u.\nAnswer: -1, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2073 + -2080. Sort i, 2, -11, -1 in increasing order.\nAnswer: -11, i, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-2)*(-13 + 19). Let k be 2\/(-8) + (-55)\/(-380). Put m, k, -0.4 in descending order.\nAnswer: m, k, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 b when three letters picked without replacement from {b: 5, e: 8}.\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -16*s - 20. Let r(p) = -8*p - 11. Let z(n) = 3*q(n) - 7*r(n). Let t(m) = -m - 1. Let o(a) = 5*t(a) + z(a). Calculate o(-8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r**2 + 2161*r - 4306. Calculate w(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y**2 - 3*y**3 + 2656*y + 18*y**3 - 1394*y - 1262*y.\nAnswer: 15*y**3 - 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152)\/sqrt(4)*2 - (sqrt(38) + (sqrt(114) + sqrt(114) + sqrt(114)*-1)\/sqrt(3)))\/(-5*(sqrt(2) - -4*sqrt(50))))**2 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 4*y - 9. Let h(v) be the second derivative of 1\/3*v**3 + 3*v + 0 - 2*v**2. Let a be 20\/(-8) - -4*(-5)\/40. What is a*t(d) + 7*h(d)?\nAnswer: 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-26)\/(-9) - (-5)\/45. Suppose -5*c + 0*m + 211 = h*m, -2*m + 168 = 4*c. What are the prime factors of c?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 659 = 2*o - p, -4*o - 3*p + 8*p = -1315. Let x = -177 + o. Suppose -a - 2*d + 484 = x, -3*d = -5*a + 1655. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252429 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 18*t**3 - 20*t**2 + 10*t + 9. Let l(f) = -10*f**3 + 11*f**2 - 6*f - 4. Calculate 5*l(g) + 3*o(g).\nAnswer: 4*g**3 - 5*g**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 5*x**2 + 9 - 13*x**2 + 9*x**2 + 8*x. Let k(c) = 7*c - 41. Let s be k(5). Calculate r(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -3*b + 3291. Let x = -40354273\/10 + 4038714. Let j = x - b. Calculate the common denominator of -31\/3 and j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -3*j - 3. Let s(r) be the first derivative of -4*r - 3\/2*r**2 + 36. Determine -4*f(c) + 3*s(c).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 116 = -4*u + 688, u + 332 = 2*w. What is the smallest common multiple of 40 and w?\nAnswer: 1640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-24))\/(6\/(-4)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -22 (c) 1.39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - (-3 + 9)) + -16 - (6 - -7).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 730123?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j - 5. Let a = -15 - -8. Let x be y(a). Let n be (-16)\/(-80)*5\/3*15. Solve 5*v + 5 = -5*i, -i - 9 = n*v - x*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 9.39 and -104233.\nAnswer: -104223.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -51310 times -1540\nAnswer: 79017400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-54*w - 3*w - 23*w + 7*w + w)*(37 + 23 - 3).\nAnswer: -4104*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 8262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 572 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 take away -1.43?\nAnswer: 43.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -11347342?\nAnswer: -34042026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -51575.02407 - -0.02407. Let a = -51559.0005 - o. Let l = a + -16. Round l to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 719 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 29098980263 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180*j - 15803 = -26063 for j.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 6:40 AM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 14*n + 12*n)*(0*n + n - 3*n)*((1 + 2 - 5)*(-3 - 1 - 1) - 4 + 1 + 1)*(-n**2 - 5*n**2 + 4*n**2).\nAnswer: 768*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 = -3*p - 5*a, a + 28 + 148 = 4*p. Let u = p + -43. What is the second biggest value in -4, u, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4345820 rounded to the nearest 100000?\nAnswer: -4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + 8\/(2 + 0). Let z(i) = 7470*i**3 - 2*i**2 + 1. Let c be z(r). Suppose v - c = 3531. What is v rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -306 + 312. Let i(o) be the third derivative of -o**5\/60 + o**4\/2 - 2*o**3 - o**2. List the prime factors of i(x).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 greater than -0.073991?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(4\/5)*k)\/k**5)\/(k**(-1\/4)*k)**(-15\/8) assuming k is positive.\nAnswer: k**(-287\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z\/(z\/(z\/z**(-3)))*z)))\/(z*z*z**(-2\/25))*z**(-3\/8)*z\/z**15 assuming z is positive.\nAnswer: z**(-2259\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46231.\nAnswer: 83, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 6*y + 6*y = 0. Sort -4, y, -19, -2.\nAnswer: -19, -4, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 463\/1501 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2 + 2*p + 27*p**3 + 6*p**2 - 10*p**2 + 5*p**2 - 130*p**3. What are the prime factors of n(-1)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*h - 14. Let j be (h\/4)\/((-14)\/28). Sort j, 0, -2, -1 in descending order.\nAnswer: 0, -1, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 PM and 8:20 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 60866006 to the nearest integer?\nAnswer: 7802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(76)*3 + (sqrt(76)*3 + sqrt(76))*-4)\/((3*sqrt(36))\/sqrt(9) + (sqrt(112)\/sqrt(4))\/sqrt(7)))**2*-2.\nAnswer: -19\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2.248162l?\nAnswer: 2248.162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*n**3 + 619292*n**2 + 6811488*n - 37154880 = 0. Calculate n.\nAnswer: -154812, -15, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10286493 + 3*m + 10286493.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-14)\/k*k\/k**(-2\/15))\/(k**12*k**(-2\/7)) assuming k is positive.\nAnswer: k**(-2686\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(1300) - (sqrt(1300) + 2) - sqrt(1300))*-1 + sqrt(1300)) + (-1 + sqrt(1300) + 5)*6)**2.\nAnswer: 8960*sqrt(13) + 255824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 11*s**3 - 6393*s**2 + 1160*s + 1162. What is i(581)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/10*5\/1. Let q = 68 + -59. Let w = -240 + 244. Sort q, u, w in descending order.\nAnswer: q, w, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -644*z = -735*z - 273 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 divided by 6?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 51643 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-4))\/((-103)\/(15450\/(-1275)))*-4*1?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0138, 2, -2\/7841.\nAnswer: -0.0138, -2\/7841, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of a**6\/225 - 7*a**5\/75 + 2*a**4\/5 - 34*a**3\/45 + 11*a**2\/15 - 4*a + 24. Factor h(d).\nAnswer: 2*(d - 11)*(d - 1)**3\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 - 8*d - 8. Give o(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -5. What is the remainder when (p\/2)\/((-4)\/(-200)) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1706601781 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 AM and 3:11 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 7:46 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in -1\/3, -5, -2, -144, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/10 of a gram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -16*p**3 - 8*p**2 + 4*p + 5. Let z(i) = 2*i**2 + i - 1. Determine w(j) + 5*z(j).\nAnswer: -16*j**3 + 2*j**2 + 9*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*j - 7*n - 24 = 129*j, 4*j - 16 = 3*n + n for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 176\/(-5940)*15*-20.\nAnswer: 80\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6*5*(-2)\/(-12). Suppose -2*v = b*i - 19, 2*v - 4*v = 3*i - 13. Solve 3*c**2 - 6*c**3 + 0 + 4*c**3 - 9*c**v + 8 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 6486*c - 1 + 7207*c)*(-6*c + c + 4*c).\nAnswer: -721*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11333 (base 10) to base 15.\nAnswer: 3558","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39998003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 546 a factor of 66148992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 4:30 PM?\nAnswer: 7:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-147)*-7*1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 79*o**3 + 2*o**4 - 2*o**2 + 0 - 2*o - 77*o**3 as a*o + y*o**4 + x + l*o**3 + t*o**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 80 = -4*g + 59, -3*f + 3*g = -27 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 665 and 35?\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*a + 24*a + 18*a**4 - 5*a wrt a?\nAnswer: 216*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pppb when four letters picked without replacement from {h: 1, b: 3, p: 2, e: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 2004 = 10*c - 9*c, 3*y + 3*c + 1518 = 0. Let f = y + 507. Let -2\/11*v**f + 2\/11*v**4 - 2\/11*v**2 + 0 - 4\/11*v + 6\/11*v**3 = 0. Calculate v.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 7, i: 4}. What is prob of picking 2 i and 2 r?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 3*n - 4. Let j be 6 + (-3)\/(12\/4). Suppose -3*g + 3*w = -27, g - w = -n*w + j. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.449039*5\nAnswer: -2.245195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = 4*z + 5*h, -5*z - 30*h = -28*h - 49 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**3\/4 + 28775*f**2\/4 - 403585*f\/4 + 1413405\/4.\nAnswer: 5*(f - 7)**2*(f + 5769)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -h + 14 + 4, -2*d - 42 = -2*h. Let g = h - -135. What is the remainder when g is divided by 29?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.4 and -15918208.\nAnswer: -15918208.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**2 - 14*h. Let u be q(7). Let i be -2 + (-25)\/(-3) - (-2)\/3. Sort -3, i, u in decreasing order.\nAnswer: i, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1139 and 207365201?\nAnswer: 1139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 848*j - 283*j - 3*j**2 - 285*j - 280*j.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.09 or -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-4)*((f*f**(4\/11))\/f)\/f)**(5\/2) assuming f is positive.\nAnswer: f**(-255\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -19*g - 29*g + g. Let a(q) = -3*q + 3. Let d(o) = -19*o + 18. Let m(z) = 6*a(z) - d(z). Give m(p(l)).\nAnswer: -47*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a millennium in months?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 - 517*k + 29 - 13)*(5 - 3 - 3).\nAnswer: 517*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.3 or 92161?\nAnswer: 92161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qv when two letters picked without replacement from qvvvvqqv?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -2. Let w(b) = 5*b + 5. Is w(u) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3766 by -246755.\nAnswer: -3766\/246755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1064 divided by 38.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 46809*i**3 - 51907.\nAnswer: 140427*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 459 is divided by 53?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -60 - -104. Let g = v + -41. What is the second derivative of 3*x + 26*x**g + 11*x + 3*x wrt x?\nAnswer: 156*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -295*z - 48857. What is n(-171)?\nAnswer: 1588","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, 13493600 in descending order.\nAnswer: 13493600, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -55359168 from 1505100.\nAnswer: 56864268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1306 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of 603*m**6\/40 + 65*m**3\/3 + 159*m**2. Differentiate s(h) with respect to h.\nAnswer: 5427*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + 2*r**2 + 3*r + 2. Let k be (-4)\/(-8) - (-10)\/4. Let l be z(k). Let s = l + -1. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -66 + 62. Let v be (6\/8)\/((-2)\/8). Put p, -1\/4, v in decreasing order.\nAnswer: -1\/4, v, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/((-145)\/522*(-18)\/315*-14)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41 - -57. Calculate the smallest common multiple of y and 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 486*g - 10130*g - 281*g to the form y + f*g and give f.\nAnswer: -9925","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 70 + -64.8. Let m = -5.7 + n. What is the closest to m in -2\/17, 4, 0.2?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158 is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3 + 16902*h**2 - 2387472*h + 4707320.\nAnswer: 2*(h - 137)*(h - 2)*(h + 8590)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5143 + 602. Is 2 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -63.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 2\/11, 2\/29, 909, -0.23?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dndd when four letters picked without replacement from kdnvidddknk.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 3*j - 2. Let n(r) = 7 + 10*r - 4*r + 0*r - 14*r. Calculate -4*n(z) - 14*w(z).\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 22*u**3 - 39*u**2 - 2*u - 2. Let c(h) = -87*h**3 + 156*h**2 + 9*h + 9. Let f(r) = -9*a(r) - 2*c(r). Find the third derivative of f(p) wrt p.\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7683 is divided by 1920.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-414)\/(-27))\/((-4)\/(-6)). Suppose -3*i = -98 + s. Factor -i*w + 25*w - 4 + w**2.\nAnswer: (w - 2)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2837 = 7*i + 324. What is the hundreds digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, x: 1, v: 3, s: 2, l: 3, p: 2}. Give prob of picking 1 l and 1 p.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2565*i - 38394. Give b(-15).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 947620, 947630, 947648, 947674, 947708?\n\"Answer: 4*l**2 - 2*l + 947618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (6\/24)\/((-98)\/56)*-329\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 0 + -6 + -63 + 64?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/10)\/(38\/(-95)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 1, -9, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29451860 by -21979.\nAnswer: -1340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/199? (a) -1\/25 (b) -1067 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.273? (a) 2\/23 (b) -0.5 (c) 1\/7 (d) -1 (e) -1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 4:43 PM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4714555 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16.5 + -21. Let k = 0.11 + -5.11. Let q = a - k. What is the closest to 1\/4 in 1, 0.4, q?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + (-4 - (1 - 8)). Suppose d - 6 = 2*w, -3*w - n = 2. Suppose d = -3*c + 5*v - 6, 4*c - 40 = -4*v. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3911, 7891, 11871, 15851, 19831?\n\"Answer: 3980*k - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-17)\/(-10) - (-6 - (-75)\/10). Factor -1\/5*p**3 + 1\/5*p - 1\/5 + h*p**2.\nAnswer: -(p - 1)**2*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 43514*u + 43294. Give t(-1).\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - 1432.7\nAnswer: -1433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 132, 556, 1266, 2262, 3544, 5112, 6966?\n\"Answer: 143*i**2 - 5*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 396563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -9*t - 55. Let l be b(-7). What is the greatest common factor of l and 536?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.01328461227 and -0.1.\nAnswer: -0.08671538773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - 1) + 4 + 54. Let b = -40 + c. Suppose -h + 4*g = -78, -5*h - 67*g + 63*g = -294. Calculate the remainder when h is divided by b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3337.\nAnswer: 47, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 701345768 and -953?\nAnswer: 701346721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 - 7)*-1*3\/78. Let h be (-4)\/14 + 12\/(-105). Let f be ((-1)\/(-2))\/(5\/6). Which is the nearest to h? (a) -1\/2 (b) f (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seven halves of a meter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*s + 13*s + 17393*s**2 - 17395*s**2)*(-5*s + 5*s + 2*s)*(18 - 22 - 12).\nAnswer: 64*s**3 - 640*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.032219174 to four decimal places.\nAnswer: 0.0322","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011001000110101110 - -111?\nAnswer: 10011001000110110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 508, 498, 482, 460?\n\"Answer: -3*x**2 - x + 512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 621087567?\nAnswer: 3, 207029189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2\/5 - 30442884*w\/5 - 30442899.\nAnswer: 3*(w - 10147633)*(w + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08593241 rounded to two dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 5*u - 4*d + 12928 = 0, -4*u + 51730 = -2*d. Is 106 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 2:04 PM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 705, 1390, 2061, 2718, 3361, 3990, 4605?\n\"Answer: -7*z**2 + 706*z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 - 3*t + 2. Suppose -5*k - 2*n + 40 = 0, -8*n + 3*n = k - 8. Suppose -3*u - k - 1 = 0. What is the units digit of d(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 4*j + 23 - 55 = 0, -2*f = -5*j - 29. Let u(a) = a**3 - 11*a**2 - 11*a - 17. Determine u(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9845 + 3232. What are the prime factors of f?\nAnswer: 3, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2257*x + 4762. Is r(55) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 924\/1012 + 6\/69. Suppose 3*q = 4*q - 4*z, 2*q = 4*z. Suppose q = -3*b + 15 + 12. Solve -5*v - 3*y = 9, -2*v + y + j = b for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.19473483 rounded to 1 decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-60)\/70)\/(-3*(-468)\/504).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/17 and 13 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.053307 + -0.0633924. Round p to four decimal places.\nAnswer: -0.0101","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-85)\/408 + 2\/(-12)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/(-2))\/(2\/16) + 10. Suppose 75 = o*w + 9*w. What is the third biggest value in -0.3, 3\/2, w?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 - 6*(-16)\/12. Let l be (2 + -5 + 1)\/(2\/u). List the prime factors of -38*l\/(-16)*-14.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide ((-3)\/(-4))\/(2\/7 + 6771355\/(-23701384))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 6*a**2 + 10*a - 23. Let o be s(7). What is the closest to o in -0.4, 0.14, -1\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122455?\nAnswer: 5, 19, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -576\/11, 2.5, -1, -2\/23, -3?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add 2 and -3078330333.\nAnswer: -3078330331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 11) in base 2?\nAnswer: -1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, a: 4}. Give prob of picking 1 d and 1 a.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/6))**44\/(i\/(i*i**(4\/5))*i**8) assuming i is positive.\nAnswer: i**(-218\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.6306*-2859.\nAnswer: 10379.8854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 6*f = -4*k + 950, k - 3*f - 245 = 0. What is the remainder when k is divided by 53?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -612, -1329, -2144, -3057, -4068?\nAnswer: -5177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1540 and 1430.\nAnswer: 20020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that u**3\/4 - 11965*u**2\/4 - 5983*u\/2 = 0.\nAnswer: -1, 0, 11966","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1471 divided by -8189.\nAnswer: 1471\/8189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/100 and -89\/500.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4001269 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 139528743 and -105.\nAnswer: 139528638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -432*g**3 + 2*g**2 - 932?\nAnswer: -1296*g**2 + 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 6 + 6. Calculate the remainder when (-52)\/(-6) - (-2)\/q is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -291616, -583216, -874818, -1166422, -1458028, -1749636?\n\"Answer: -l**2 - 291597*l - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 u when two letters picked without replacement from jziugjjjgjguijizmjuz?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of 5*p + 4*p**2 + 7\/3*p**3 + 1\/4*p**4 - 2. Determine y(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -13 + 13 - 36*z. Let m(x) be the first derivative of 2*x**3\/3 - 82. Calculate m(b(r)).\nAnswer: 2592*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k + 5*k - 2*k)*(k**2 - k**2 + k**2)*(-1 + 15 + 3).\nAnswer: 119*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.007809353 to five decimal places.\nAnswer: -0.00781","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19751592 to the nearest integer?\nAnswer: 4444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17.952 + -8.925. Let m = -9 + z. Let o = m + 0.073. What is the closest to o in -2\/7, 1, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n**2 - 43*n - 29. What is m(22)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121 (base 4) to base 2.\nAnswer: -11001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1.3671 + 1.04\nAnswer: -0.3271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8079922*n**3 + 4*n**2 - 5331649?\nAnswer: 48479532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 11. Let q = 0 + v. Suppose -p + 14 = q. What are the prime factors of p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 PM and 12:17 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -305453 - -305453.2000024. Let o = -0.1 - -0.3. Let w = x - o. What is w rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 23*j**3 - 2*j**2 + 1. Let o(b) = b - 4. Let w be o(5). Let g be v(w). Let r = g - 16. Is r a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83082.36 years in decades?\nAnswer: 8308.236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in -3, -4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 2 = 3*v. Let i be v*(-2 + (-26)\/(-12)). Determine u so that i*u**2 + 1\/3*u + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 >= -88?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 183267130 to the nearest integer?\nAnswer: 13538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 219588878?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3 (b) 4 (c) 341 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/19)\/(i\/(i\/(i*i*i\/(i\/i**(-3))*i))*i))\/(i**(-2\/7))**(1\/2)*(i**0*i)**(-31)\/(i**1)**(-25) assuming i is positive.\nAnswer: i**(-898\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 1030 divide 35246929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22413 and 152148?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4735 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 76516 and 327778.\nAnswer: 1034","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 minus 0.531?\nAnswer: 4.469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from mnmoxxxmmmmonxomnomm.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yo when two letters picked without replacement from {y: 1, o: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 43818151 a multiple of 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-nine fifths of a litre?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 3*g**2 + 2*g + 3. Let k(j) = -j - 7. Let n be k(-10). Suppose 4*o = -3*i + 2*i - 8, -n*i + 8 = -4*o. Is 11 a factor of u(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 3*j - 7209, -2924 = -3*j + 5*k + 4291. What is j rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -7, 15\/4 in descending order.\nAnswer: 15\/4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + 23023033031?\nAnswer: 23023033031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4866 + 4868. Which is bigger: -43.7 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 462 - 522. Let b = 26 + -10. Let r = m + b. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/18 + (480\/1026)\/4?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -c + 28. Let d(k) be the third derivative of -k**5\/60 + k**4\/4 + 3*k**3\/2 - 195*k**2. What is d(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 2*g + 12 = 0. Let r be 7 + (-6)\/(0 - g). Factor 0 + 0*o**4 + 2\/3*o + 0*o**2 - 4\/3*o**3 + 2\/3*o**r.\nAnswer: 2*o*(o - 1)**2*(o + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 118 and 472.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2175468 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -58, -131, -232, -361, -518, -703?\nAnswer: -916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.4 minus 0.05?\nAnswer: -6.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 * -0.24674716\nAnswer: 0.012337358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 43b0 - 226?\nAnswer: 4186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.16171 + -0.09782. What is c rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 + -11. Suppose 0 = 4*v - j*v + 48. Let p = -9 + v. Does 17 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 799 divide 412284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11315679 to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 212623 is divided by 13221.\nAnswer: 1087","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/12696960 and -29\/654687?\nAnswer: 418999680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 1, -3, -5, -4 in increasing order.\nAnswer: -15, -5, -4, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/5 (b) 0 (c) 5 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20*c**2*i**4 - 10116335*c**2 + 12*c*i - 44*i**4 wrt i.\nAnswer: 80*c**2*i**3 + 12*c - 176*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 7525b5 (base 14) to base 7\nAnswer: 45455215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 249 - 70. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express a**3 - a**3 + a**3 + (-17*a**2 - 9*a**2 + 5*a**2)*(5*a - a - 5*a) + 3*a**3 + 0*a**3 + a**3 as i*a**2 + g*a**3 + z + b*a and give g.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 826*y**3 - y**2 - y - 249438?\nAnswer: 2478*y**2 - 2*y - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (sqrt(80) - (sqrt(80) + 3 - sqrt(80))) - ((sqrt(80) + 0 - sqrt(80)) + 3))*-6)**2*2.\nAnswer: -2880*sqrt(5) + 7560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 895 is divided by 440?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*x + 6 = 31*x. What is the remainder when 47 is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -105*k + 20. Let v(q) = -21*q + 4. Let h(f) = -4*u(f) + 22*v(f). Let y(b) = 28*b - 5. Let n(r) = -5*h(r) - 7*y(r). Is n(12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1587)\/207*(-3)\/1?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11011110101 (base 3) in base 10?\nAnswer: 81982","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*x - 6*x - 2*x + x**2 to the form c + w*x + k*x**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -417*x - 53 = -413*x - 5*q, 0 = 5*x + q + 30 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00054222 to 5 dps.\nAnswer: 0.00054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 l when four letters picked without replacement from nnnggnnnnnnnlnngn.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1746134 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of r**4\/10 + 2*r**3\/15 - 2*r**2\/5 + 8. Factor a(o).\nAnswer: 2*o*(o - 1)*(o + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a*a**26*a*a**(-5\/17))**33)**(-1\/2) assuming a is positive.\nAnswer: a**(-16665\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-79 - -79) + 4\/34. Let q be (-6)\/33 + (-16)\/154. Let m = 0.4 + -1.4. Which is the closest to m? (a) q (b) u (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4507 - -275. What is c rounded to the nearest 100?\nAnswer: -4200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -30409, -60837, -91267, -121699, -152133, -182569, -213007?\n\"Answer: -b**2 - 30425*b + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 112336 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 51870 to the nearest 1000.\nAnswer: 52000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 296 divided by 8.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 - -14. Let s = 9 + h. Let w(u) = 5*u**2 - 5. Let x(t) = 1. Let z(d) = w(d) + 5*x(d). Let n(y) = -y**2. What is s*n(l) + z(l)?\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)\/(3*(sqrt(324) + sqrt(9))).\nAnswer: sqrt(19)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 3*h + 3*z + 22, 2*h = 2*z - 20. Let i be (-5)\/20 - h\/4. Suppose 0 = i*m - m - 4. Sort -0.02, 1\/2, m.\nAnswer: -0.02, 1\/2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1755.553km in meters?\nAnswer: 1755553","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -17722051, -35444103, -53166155, -70888207, -88610259?\n\"Answer: -17722052*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 AM and 6:13 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-10) - (1 - (-54)\/(-10)). Let h be (a\/(-22490))\/(14\/((-4485810)\/27)). Let t = h + 1\/2249. What is the common denominator of t and -69\/10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8629662 to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 4*r - 74, 2*w + 2*r - 192 = -r. Suppose -2*m + w = 5*x, -2*x = 3*m - 33 + 8. Solve -3*h - 5*c = 2*h + x, c - 1 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5641031600?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 423*w**2 - 16*w**3 - 3*w - 423*w**2 - 98*w.\nAnswer: -16*w**3 - 101*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 4*i + 5*k - 13500000, k = 0. What is i rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b + 5*b - 100. Suppose 95 = 5*o + b. Suppose -2*j + m + o = 0, 4*j + 2*m = -3*m + 9. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 4*j + 1. Let n(s) = 10*s - 7. Let v(f) = 34*f - 14*f - 15*f - 4. Let q(m) = j*v(m) + 4*n(m). Let h(r) = -2*r**2. Calculate q(h(l)).\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/344 and -7\/44.\nAnswer: 3784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 4*j - 1. Let y(c) = c. Let w be 25\/(-1 + 6) + (-6)\/1. What is w*r(d) + 3*y(d)?\nAnswer: -d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 862658 is divided by 862046.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 + 19 - 7 + 4*k + (1 - k - 1)*(-4 + 6 - 4) + (-3 + 0 + 5)*(4*k - 3*k + k + 2) as d*k + j and give d.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of 159*r**4\/4 - 652*r**3\/3 - 10210*r**2. Find the first derivative of c(y) wrt y.\nAnswer: 954","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3556888 is divided by 1778357.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 308*i**2 + 10744*i - 1261. What is z(-35)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14583 and 147?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 196272.\nAnswer: 2, 3, 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/((o**(-7)*o*o)\/o*o*o)*o**8)**(-2\/31) assuming o is positive.\nAnswer: o**(-28\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 14 = -6. Differentiate p - 5*v**3 + 11*v**3 + 0*v**3 - 1 wrt v.\nAnswer: 18*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(35)\/sqrt(5) + -2 + (sqrt(7) - sqrt(7)*1).\nAnswer: -2 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 AM and 9:26 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18969?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -f - 6 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -5*a**3 + 18*a**2 + 10*a + 14. Let p(l) = -14*l**3 + 51*l**2 + 28*l + 41. What is 17*g(m) - 6*p(m)?\nAnswer: -m**3 + 2*m - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 4*j**2 - 2*j. What is the tens digit of z(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -36, 3 in increasing order.\nAnswer: -36, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 5 + 20. What is the nearest to y in 2\/11, -3, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*p**2 - p**2 + 5*p**2)*(5*p - 2*p**2 - 5*p) + 162 - 41*p**4 + 79*p**4 - 44*p**4 to the form z + s*p**3 + i*p**2 + d*p + b*p**4 and give b.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3\/(3 + 0)*73*1?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 + -1 + (-24 + 7 - -18)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*c + 356 = -214. Calculate the least common multiple of 38 and c.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 365, 350, 303, 206, 41?\n\"Answer: -3*z**3 + 2*z**2 + 366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/8)*c*(c**2\/c)\/c)**(-44)\/(c**3\/(c**5*c*c)*(c**(2\/7))**(-43)) assuming c is positive.\nAnswer: c**(-465\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1375843?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-30))\/(6\/20). Let t(p) = 2*p + 13. Let g be t(-5). Suppose -l + 6 = k - g*l, 3*l = 5*k - 9. What is the third smallest value in -0.5, j, k?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 8:59 PM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1238 - -1238.00023215. What is g rounded to 5 dps?\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-6)*(-76)\/(-57)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of 1\/24*c**4 - 1\/3*c**3 + 0*c + 0 + c**2. Differentiate m(t) with respect to t.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of r**6\/720 + 37*r**5\/120 - r**4\/12 - 5*r**2. Let s(u) be the second derivative of y(u). List the prime factors of s(0).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (86 - 10) + -79 - -64?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 67*z**3 - 67*z**3 + 9*z**2 + 7*z**4 wrt z.\nAnswer: 168*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001062978 rounded to five decimal places?\nAnswer: -0.00106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d7bb (base 15) to base 11.\nAnswer: -31309","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(480) + sqrt(480) - sqrt(480))*-1)\/(4*sqrt(90)*1).\nAnswer: 2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k**5 - 140*k**4 + 820*k**3 + 2390*k**2 - 825*k - 2250 = 0.\nAnswer: -2, -1, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 406159*s - 24775704. Give j(61).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.06 - -0.06. Let q = 0.03 + 2.07. Let p = 2 - q. What is the biggest value in p, 1\/4, z?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -308 - -315. Let h(j) = j**3 - 9*j**2 + 11*j + 26. Let w be h(v). Solve -3*x = 5*q + 20, 0*q - w*q = x + 20 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*d, 18*d + 9 = 5*y + 22*d. What is the closest to -1 in 3, y, -0.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -6*w - 4. Let m be c(-7). Suppose m = 2*h + 10. What is the greatest common factor of 42 and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 - 4*t - 2. Let c be n(5). Let b be ((-3)\/2)\/(c\/(-4)). Solve 0 = 5*p - b*p + 6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 4*a. Let u be j(1). Suppose u*n - 171 = 61. What is the remainder when n is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 2*n**2 - n. Let o be z(1). Suppose 3*y = -15, 0 = o*d + y + 4 + 1. What is the third derivative of 8*b**4 + d*b**4 + 0*b**2 + b**2 wrt b?\nAnswer: 192*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 326482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 - 9*s**2 - 11*s + 8. Let g be y(10). Let b be (-2)\/((-60)\/27 - g). Calculate the greatest common factor of b and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(-3 - 70\/(-56)) - 2493\/(-357).\nAnswer: -2\/119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 11 + 172*m - 160*m + 2*m**2 - m**2 + 5. Does 8 divide k(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - (7*1742\/1547 + (-38)\/(-323))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 12, -0.1, -3\/2, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*x - 107*x - 36 = -4*o - 56*x, 3*o - 27 = -3*x for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30200701*o**3 + 83372853*o**2.\nAnswer: 181204206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9039639, -18079296, -27118953?\nAnswer: -36158610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29962 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + 16*d**2 + 15*d. What is j(-15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u + u**2 + 39 - 39. Suppose -2 = -6*o + 5*o. Calculate q(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -427, -779, -1131, -1483, -1835?\nAnswer: -2187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 15 = -2*b - 3, 4*a = 2*b + 20. Let o(n) = -n**3 - 7*n**2 + 5*n - 5. Calculate the remainder when o(b) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -57*d**3*z + 31*d*z**2 - 73*d*z - 410183*z**2 wrt d?\nAnswer: -171*d**2*z + 31*z**2 - 73*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 7)*(546 - 259 - 253)*(v**3 + 7 - 21*v - v**4 + 21*v).\nAnswer: -136*v**4 + 136*v**3 + 952","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - t + 3, 3*t = -d + 5*t - 6. Suppose -5*j + d*q + 4 = -2*q, 0 = -2*j - 3*q - 6. Sort j, 3, 55.\nAnswer: j, 3, 55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -59 (b) 4 (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -28*v - 15*v + 81*v - 19*v - 22*v. Let i(p) = 4401*p. Give d(i(u)).\nAnswer: -13203*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4109 is divided by 3686?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2\/4 + 5112381*m\/4 - 38343195\/2.\nAnswer: 3*(m - 15)*(m + 1704142)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 15\/22 + 1\/(-2). Suppose 6*q + 40 = -4*q + 3*o, -q + 5*o - 98 = 0. Factor -q*b + h*b**2 + 20\/11.\nAnswer: 2*(b - 10)*(b - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xq when two letters picked without replacement from {q: 3, x: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 76, 157, 238?\nAnswer: 319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -4*m**3 + 5*m**2. Suppose -8*d = -4*d - 44. Let t(j) = 4*j**2 + 3*j**2 - 3*j**3 + 7*j**3 - d*j**2. What is 5*t(w) + 4*x(w)?\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004062437 to seven dps.\nAnswer: -0.0004062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 490116 and 1659?\nAnswer: 3430812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126 is divided by 33?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -228797 - 39805.\nAnswer: -268602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2a79 (base 15) to base 2\nAnswer: -10001110011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29192\/3 - -9732. Factor -4\/3*p**5 + 104\/3*p**2 + 56\/3*p**3 + 76\/3*p + 20\/3 + i*p**4.\nAnswer: -4*(p - 5)*(p + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -8*n + 12*n - 15 + 10*n. Let p = -2336 - -2340. What is the tens digit of b(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 14 = -5*v, 0 = -3*v - 2*r + 3*r - 9. Let p be (v\/16)\/((-7)\/28). Sort 17, -0.1, p in decreasing order.\nAnswer: 17, p, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 - 10*c + 14. Let z be q(-11). Suppose -z*b - 34 = l, -3*b - 2*l - 29 = 3. Calculate the common denominator of 8\/b - 78\/8 and -11\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 116\/3, 5, -1\/307 in ascending order.\nAnswer: -1\/307, 5, 116\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -5*x - 18, 5*x + 8 + 6 = 2*b. Let p be 0 + x\/(-7) + 44\/385. Let y be (20\/12)\/((-7)\/3). Which is greater: y or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 3. Suppose 77 = 3*o - 5*b, -4*o - y*b = -b - 92. What is the remainder when 94 is divided by o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4292212009?\nAnswer: 1567, 2739127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24398?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(1 + sqrt(684) + 1 + sqrt(2736)) + -5)**2.\nAnswer: 1872*sqrt(19) + 98665","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 36\/10 - 6\/(-15). Suppose -2*l + 67 + 45 = z*f, 9 = 3*f. Is 18 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 669 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmeeemmemmsme. What is prob of sequence me?\nAnswer: 35\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 527817*d**5 - 137579*d**2 - 2*d?\nAnswer: 31669020*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -685629, -1371234, -2056853, -2742486, -3428133?\nAnswer: -4113794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r, -r - 3 = -k - 0. Let f be -2 - (22 - 2)*k. Let n = 91 + f. Calculate the remainder when n is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4195*w - 1981*w - 14 - 4*w**3 - 2213*w - 3*w**2)*(-w + 3*w - w) to z*w + c*w**4 + s*w**2 + m + h*w**3 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.14 (b) -1 (c) -200933\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 146 and 416830.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1413, -2990, -4567?\nAnswer: -6144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 177 - 176.9. Let r = -97 + 97. Which is the nearest to -2\/3? (a) y (b) -7 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8864 or -9382?\nAnswer: -8864","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is 101.9 take away -2429?\nAnswer: 2530.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyfhfyfsyyfyyfy. What is prob of sequence hffy?\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.134 + -2.134. Let m = 0.5 + -0.3. Sort b, m, -3\/5.\nAnswer: b, -3\/5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 * 22875\nAnswer: 274500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36 + -5. Let h = q - 3. Suppose 4*a + 16 = 4*f, 0*f - h = -3*f - 5*a. Does 6 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37\/94 - 1331\/141. Calculate the common denominator of h and -14\/51.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in -6, -4, -0.5, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/38, -0.1, 2\/3, 0.1 in descending order.\nAnswer: 2\/3, 0.1, 3\/38, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9 - (-666)\/(-66)) + 4 + -1. Is r greater than -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2065922 to the power of 1\/3, to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(1\/12))\/(j\/j**(-7))*(j*j**(-12\/7)*j)\/(j**4*j))**18 assuming j is positive.\nAnswer: j**(-2973\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 87 = -5*a - 6*m, -a - 5 = -5*m. Let r = a - 36. Is (-1)\/((-2)\/r)*-2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4042 = w - 3*c, -5*w = -4*c - 5319 + 25496. Which is greater: -4034 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = -5*m - 40, 3*l = -12*m + 13*m + 16 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2*y - 3*y = -19, -2*z = y - 7. Suppose -5*i = -z*i - 2. Solve -2*t - i*t = -16 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 42 = 4. Suppose t*j - 50*j + 36747 = 0. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of -71*q**4\/6 + q**3\/6 - 2*q**2 + 1433. Let x(a) = 4*a. Determine x(r(f)).\nAnswer: -1136*f + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (24\/20)\/(6\/15) + -2. Let r = -0.3 - -0.5. Let j = -47\/135 + 4\/27. What is the smallest value in q, j, r?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 756 - 738 = c, 36 = -2*x + 5*c for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32784.5 - -32784. Let y = 1\/11 + -27\/55. Which is the smallest value? (a) y (b) -3\/5 (c) v (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 - 2*v + 4. Let d be q(-4). Put 6, -3, 3, d in increasing order.\nAnswer: d, -3, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 4*r + 41*r - 772 = 0, -f - 238 = 3*r - 306 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -269 + 268.8. Put -0.5, -2\/55, -2, o in decreasing order.\nAnswer: -2\/55, o, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9659, 3, -5, 5 in increasing order.\nAnswer: -9659, -5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1662838.\nAnswer: 2, 17, 48907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -12*v**4 - 26*v**3\/3 + 12*v**2 + 26*v\/3 = 0.\nAnswer: -1, -13\/18, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + 560829?\nAnswer: 560832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 + 12*b + 39. Let t be p(-6). Suppose 5*l - 76 = -3*o, -2*l - 82 = -t*o - l. Calculate the smallest common multiple of 5 and o.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 188408 or 376815\/2?\nAnswer: 376815\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 271 - 272. Sort -10, q, -5, -22.\nAnswer: -22, -10, -5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1547 a multiple of 119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -66956, -133921, -200886?\n\"Answer: -66965*w + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15998497?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 0*u = -20. Suppose -39599 = 3*x - g + 2*g, -u*g + 4 = 0. Round x to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*i + 3*x - 6 + 6 = -0, 2*x = 3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 2*h - h. Let r = 19654 - 19522. Calculate the greatest common factor of h and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158306555.8 rounded to the nearest one hundred thousand?\nAnswer: 158300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 4*a + 6, -5*a = 5*h - 2*h - 31. Suppose -20*t + 6*t = 266. Let y = t - -75. What is the highest common divisor of h and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 + -4 + -27 - (8 + 2) - (-29 + 4).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -4 - 3 - (134 + -137)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2135415 and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2888.35 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1320)\/70)\/((-15)\/910). Calculate the greatest common factor of z and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 150 + -154. Which is the biggest value? (a) f (b) -2\/3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 73872 and 16524528.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 758, 1625, 2706, 4109, 5942, 8313?\nAnswer: 11330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 371673383 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of -2*m**3\/3 + 5*m**2\/2 - 8*m. Let v(r) = r - 1. Let q(y) = -2*g(y) - 6*v(y). Calculate q(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 - 125. Let y = -52 - u. Suppose y = 5*t + 11. Calculate the greatest common divisor of 1 and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1971 - 1959. Let w = 4 + -2. Solve -w*r = r + x for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/2)\/(11\/(-22)). Let t(w) = 10*w**2 + 2*w + 1. What is t(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11400 a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-26)\/65)\/(((-10)\/5)\/((-1050)\/(-65))).\nAnswer: 42\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = j + 7, -38 = -50*g + 69*g for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5c + -1cdd?\nAnswer: -1c81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -1. Let x(s) = 5*s - 2. Let w(f) = 2*t(f) - x(f). Let o(p) be the second derivative of 43*p + 0 + 0*p**2 + 0*p**3 + 1\/12*p**4. Determine w(o(b)).\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1127 is divided by 562.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11a5190 (base 11) to base 7.\nAnswer: -23505222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 s when two letters picked without replacement from ddssd?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1*18\/(-270)*-1\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1170.994mm?\nAnswer: 117.0994","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 11) to base 14\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w + 3*w - 4*w)*(4 - 1 - 5) + 2*w + 0*w - 4*w - 4*w + 0*w + 2*w + 11*w + 2 + 6*w - 19*w.\nAnswer: -10*w + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + d = -19 + 10, 2*w - 2*d = 6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -50.89 - -17.89. What is the third smallest value in 3, d, -0.5, -8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 309 + -306. Suppose -2*y - t + 617 = 0, y - 299 - 6 = d*t. What are the prime factors of y?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 + -316261178?\nAnswer: -316261177.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, 1\/67, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3540 = -5*b - 7*j - 3602, 0 = 4*b + 4*j + 40 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -27*b**2. Let z(s) = -27 - 29 - 13*s - 27 - 29 + 113. Calculate l(z(m)).\nAnswer: -4563*m**2 + 702*m - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -12*f**2 - 10*f + 10. Let y(n) = n**2 + n - 1. Let m(r) = 2*g(r) + 20*y(r). Let o(w) = -17*w**2. What is o(m(k))?\nAnswer: -272*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + 33*p**2 + 186*p - 342. Let u be y(-25). Sort u, -1\/24, 3, 0, 4 in ascending order.\nAnswer: -1\/24, 0, 3, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 10 = 0, -3*t + 4*u = -371 + 327. Sort 8, 5, t.\nAnswer: 5, 8, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*n - 3. Suppose 0 = 5*g + 15, 0 = 5*v - 4*g - 19 - 3. Factor -8*x + 1 + 2*x**n + v*x + 3.\nAnswer: 2*(x - 2)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c**2. Let t(x) = -2. Let o(p) = 5*p**2 - 70. Let z(a) = 2*o(a) - 70*t(a). Calculate b(z(s)).\nAnswer: 200*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*d - 8, 15*d = -3*y - 68 - 19 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = v - 2*o + 10, -5*v + 8 = -2*o. Let g be (v\/2*10)\/(-1). Let j = -10 - g. Solve -10 = 2*u - j*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 365746 or 365747?\nAnswer: 365747","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.98 + -1. Let q = h - 0.38. Is q greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2552*h**2 + 50*h. Let l(t) = 2*t**2. Determine v(l(i)).\nAnswer: 10208*i**4 + 100*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y**3 + 428*y - 428*y - 3*y**3 - 2*y**3.\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 297 + -212. Let d = -85.01405 + l. What is d rounded to three dps?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x**3 + 15*x**2 - 8*x + 9. Let s be y(7). Let p = 974 + -954. Solve -s*k - p = -6*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/7 + 1420*w\/7 + 1418\/7.\nAnswer: 2*(w + 1)*(w + 709)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*q + 544 = -250 + 24 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 61152969155 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2197034, 2197029, 2197024, 2197019?\n\"Answer: -5*a + 2197039","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96797.03mg to nanograms.\nAnswer: 96797030000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -13*b**2 - 3397*b + 23890. Calculate q(7).\nAnswer: -526","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 57 - 6. Suppose 160 = -49*d + w*d. Is d a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of 248*d**8\/7 + 2303*d**4\/12 - 991*d + 2. Find the third derivative of w(j) wrt j.\nAnswer: 238080*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -42 - 0\/(4 + -3). Let q = -31 - p. What is the remainder when q is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 7:19 AM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5119*q**4 + 6258*q**3 - 274187550.\nAnswer: -20476*q**3 + 18774*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 10:43 PM?\nAnswer: 9:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of -x**4\/48 + x**2\/2 - 16*x. Factor p(o).\nAnswer: -(o - 2)*(o + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2690029675?\nAnswer: 5, 191, 563357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-7))\/((f*f**(-3\/7)*f)\/f))**16 assuming f is positive.\nAnswer: f**(-736\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2609637 + -7898180\/3. Let y = v + 1939393\/84. Calculate the common denominator of y and 3\/70.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 66.67\nAnswer: -70.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -3*c**2 + 4 + 5*c**2 - 2*c + 2*c**2 - 2*c**2. What are the prime factors of w(5)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 8*v**2 + v - 1. Let r(m) = -m**2 - 5*m + 8. Calculate the least common multiple of i(1) and r(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(187) - -4*(sqrt(187) + sqrt(187)*-1 + sqrt(187) + sqrt(187)))\/(sqrt(44)\/sqrt(100)))**2.\nAnswer: -180*sqrt(17) + 34429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34 + 0 - 62) + 30 + -1?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19825925.\nAnswer: 5, 7, 193, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 416867 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -4*r - 5*k, 3*r - 4*k = -1 + 3. Let v be (-2)\/r + 5\/55. Which is bigger: -0.2 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2) - (sqrt(2)*-2 - sqrt(2))*1)*-6*-5 - (6*sqrt(200) - (4 + sqrt(50)*1)))*-2)**2.\nAnswer: 2080*sqrt(2) + 33864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + n = 0. Which is bigger: -2\/9 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2402 at most -0.03?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) - (sqrt(192) - (sqrt(192) + 1*(sqrt(192) - sqrt(192)*-2))**2)) + (sqrt(15) + sqrt(60)\/sqrt(4))\/sqrt(5) + 1.\nAnswer: 2*sqrt(3) + 3073","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/2*(-32)\/6. Suppose c*u = 7*u + 4. What is the greatest common divisor of 12 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 - 1) + 0 + 3. Let y be ((-38)\/(-38))\/(v\/(-105)). Is 105 greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 860?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6435655 or -6435660?\nAnswer: -6435655","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 - 5*o**2 + 6*o - 6. Let b(p) = p**3 - 4*p**2 + 5*p - 5. Suppose -5*g - 53*g = 290. Determine g*m(i) + 6*b(i).\nAnswer: i**3 + i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, 38, -12\/11, -0.1, 5\/2 in decreasing order.\nAnswer: 38, 5\/2, -0.04, -0.1, -12\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -5*v**2 + 300*v + 620 = 0.\nAnswer: -2, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 217569797 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 - n - 1. Let i(o) = -22*o**2 + 3*o + 3. Let f(s) = -2*d(s) - i(s). Is f(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4a48 (base 14) to base 7.\nAnswer: 52621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 8\/25 of a micrometer?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 245420276 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -43268*o + 43265*o + 45, -3*w = -41*o - 77 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20440933?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -376 + 11470?\nAnswer: 11094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + 22*b**2 - 21*b + 8. What is t(21)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -571*x + 1146*x - o + 9 = 576*x + 1, 0 = 3*x - 4*o - 3 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -255 - -257. Suppose -6*q - 188 = -212. Solve 3*w - b*z = w, q = -w + 5*z for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1751 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -5*h - 47, 6*s - 59 = 2*s + 3*h. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 71.2 * -5.\nAnswer: -356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -9*b**2 + 4*b + 5. Let r(t) = t**2 - 2*t - 1. Let x(p) = -f(p) - 2*r(p). Let v(i) = -14*i**2 + 7. Give -3*v(k) - 7*x(k).\nAnswer: -7*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c + 17. Let k be f(17). What is the nearest to k in -1\/4, 0.1, 2\/11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -17, -24, -35, -50?\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/32)\/((-14)\/24)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*j**5\/7 + 142*j**4\/7 + 612*j**3\/7 - 162*j**2\/7.\nAnswer: 2*j**2*(j + 9)**2*(4*j - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i + 288551 = 15487. Suppose 4*v = 3*a - 11677, -4*a + i = 5*v + 9203. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -88684236 by -47834.\nAnswer: 1854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-45)\/(1*(-15)\/10). Suppose l = s - 29. Is 10 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-1) - 189\/(-162)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2331519.94 times 4\nAnswer: -9326079.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 7*s**2 - 8*s - 5. Let k = 203 - 91. Let m be (-9 - -8)\/(4\/k*4). Let d(o) = 8*o**2 - 9*o - 6. Calculate m*a(v) + 6*d(v).\nAnswer: -v**2 + 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of -m**5\/4 - m**4\/4 - 5*m**3\/6 - m**2 + 105*m. Let d be v(-2). Calculate the highest common divisor of d and 120.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b, 1 c, and 1 y when four letters picked without replacement from ycdbcybcc.\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 2 = v. Let j be (-66)\/(-9) + (-2)\/v. Suppose j*r - 2*r + 25 = -5*i, 5*i = -5. Sort r, 5, -3 in descending order.\nAnswer: 5, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-572)\/4862*2\/4\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -166 - -273. Suppose 0 = -2*q - u + 207. Solve -2*o + q - 42 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 3) in base 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -93390*j**2 - 41*j - 41060 wrt j.\nAnswer: -186780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 123*n**5 - 35031*n**4\/4 + 609231*n**3\/4 + 258441*n**2\/2 - 33912*n - 1944 = 0.\nAnswer: -1, -2\/41, 1\/4, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120916343 - 1327*q**3 + 120916343.\nAnswer: -1327*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5384, -5637, -6056, -6641, -7392, -8309, -9392?\nAnswer: -10641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 + 10. What is the remainder when h\/(-6) + (-42)\/(-9) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (11 + -2)\/(2\/82). Find the common denominator of (i\/12)\/(6\/(-4)) and -73\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 - 7*r + 33. Let h be y(-10). Suppose 21 = f - 4*w, -h*w = 2*f + 3 - 1. Solve -11 = -2*l - f*u, -3*l + 4*u = -l - 2 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -102377914\nAnswer: -3\/51188957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 16862387 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, k: 4, r: 1, p: 1, w: 6}. Give prob of picking 1 p, 1 w, and 1 r.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.119027 tonnes in nanograms?\nAnswer: 6119027000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2450489 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 431 minutes after 10:59 AM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of -573*t**4\/8 + 751*t**3\/6 + 568*t**2. Differentiate j(u) wrt u.\nAnswer: -1719","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.51 - 2.3. Round z to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/3*-4*((-920)\/(-368))\/(30\/(-93)).\nAnswer: 31\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-69)\/(-21) - 3) + (-23)\/7. Sort 1, k, -5, 0 in increasing order.\nAnswer: -5, k, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/8*k**2 + k + 7\/8.\nAnswer: (k + 1)*(k + 7)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllllllllllf. What is prob of sequence llf?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 217741146.\nAnswer: 2, 3, 7, 191, 27143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 56035976 divided by 7004497\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + 1 - sqrt(99))**2 + 2 + -5 + (4*sqrt(275))**2.\nAnswer: 4398","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 293802 greater than 293058?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 12 - 0 - (-55 - -50)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(6\/33 + (-30)\/286). Let c = y + -10. Solve -4*s + 6 = -c*s + 5*r, 2*s + 5*r = 7 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7124760 and 729.\nAnswer: 21374280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1073 and 4535645?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -1. Let x(t) = t**2 - 6*t + 4. Let o(k) = -15*l(k) + 3*x(k). Determine d so that o(d) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 300073?\nAnswer: 300073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 1172*s + 1172*s + 4 + 2*s**2.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 6 = p - 2*p, -54 = -4*p + 2*g. Suppose -2*d + 38 = -2*j, -4*j + p = -d + 39. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/81 and -7\/54.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4*f = -k - 10, 35 = 5*k + 5*f. What is the second derivative of -6*n + 3*n - 3*n**3 + 0*n**k wrt n?\nAnswer: -18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 3102493?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -2. Suppose -2*i + 4*i = l. Let r be -2 + (4 - 0) - i. Solve 0 = d + r*d - 12 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -276*i + 193*i = -2905 for i.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88620 = 4028*g + 2291*g + 984*g + 174288 for g.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 0 - 9 = m, -4*m - 31 = -3*c. Let p(s) = 5*s + 9. Let v(k) = -9*k - 17. Let b = 5 + -2. Let z(x) = b*v(x) + 5*p(x). What is z(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = -19*l - 19*l + 144 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 152, -2\/9 in descending order.\nAnswer: 152, 1\/5, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -2. Let q(h) = -128*h + 12. Let o be q(0). Solve 2*s - 3 = 2*p + f, -2*p - o = 2*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o - 872 = 208. Let v = -90 - o. Let z(s) = s**2 - 9*s + 2. Let u be z(9). Solve v = -5*b - u*g + 5, g - 4*g + 15 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 - -33. Let w = c - 6. Suppose 0 = -w*r + z - 2279996, r - 1709988 = 4*r - 3*z. Round r to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 4*z**2 + 2. Let b be s(-4). Solve -6 = -5*x - b*m, -2*x + 5*m = 2*x + 15 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1207*s + 1212*s - 3*q + 11 = 0, 2*s = 2*q - 2 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 PM and 3:24 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 122 = -3*w, -4*w - 3625*h = -3622*h - 172 for w.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 54779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 4*t - 5. Let y(x) = 5*x - 6. Let v(k) = -6*d(k) + 5*y(k). Suppose 0 = -2*a - 3*a. Let n be v(a). Solve -l - l = n for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 584 is divided by (-96)\/64*954\/(-27)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 187\/8386320 and 47\/1013347.\nAnswer: 243203280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**2 + 6736*r + 13488.\nAnswer: -4*(r - 1686)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkkn when four letters picked without replacement from {n: 7, k: 3}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/20 in 2\/13, 25, -5.9?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 635 - 6987\/11. Which is the nearest to 1? (a) -3 (b) m (c) -1\/8 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-46)\/5)\/(1\/5). Let l = -18 - d. Suppose -7*g = -3*g - l. List the prime factors of g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1895\/969 + -13\/51. Let l = a - -1069\/114. Calculate the common denominator of l and 57\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssrrrssrsmrrrmrsrss. Give prob of picking 1 s and 1 m.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67210 is divided by 105.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of -k**7\/420 - k**6\/60 + k**4\/3 + 4*k**3\/3 + 30*k**2 + 7. Solve z(p) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10*(-2)\/(-12)*3. What is the third biggest value in -0.1, 0.5, c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 4) to base 15\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 3*o - 970 = 0, q - 3*o - 28 = -222. Let n = -3676\/19 - q. Let k = 5304 - 5303. Which is bigger: k or n?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + 12\/((-24)\/(-14)). What is the greatest common divisor of 510 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/68859 - 206581\/137718. Let r = 0.3 - 0.7. Put 1, r, -5, m in decreasing order.\nAnswer: 1, r, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.13 (b) 4\/7 (c) 1\/3 (d) -407 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*l + 11954*l**2 - 5981*l**2 - 132*l - 11*l**3 - 5973*l**2 in the form w*l**3 + t*l + z*l**2 + h and give w.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of -19*k**4\/24 - 5*k**3\/3 - 7*k**2. Let n be w(-9). Calculate the highest common factor of n and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -896568 take away -11?\nAnswer: -896557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -3*p + 3. Suppose -2*t + p*t - 4*u = 16, -u = -2*t + 11. Let l = -5 + 9. What is the lowest common multiple of l and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -91086, -91085, -91084, -91083?\nAnswer: -91082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/(-15))\/((-5111)\/(-190) - 27).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*s - 3 = 4, -3*f = -4*s + 31. Sort 0, f, -4, -5.\nAnswer: f, -5, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 4*i**3 - 19*i**2 + 78*i - 32. Calculate the remainder when m(7) is divided by 61.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s + 8. Let a be 90\/(-20)*(-4)\/3. What is z(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 13. Let d be y\/((-1)\/1 - 0). Let u = -1 + 4. Put 2, d, u in decreasing order.\nAnswer: d, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1020 - -6121\/6. Let c(i) be the second derivative of 9*i + 0*i**4 - f*i**3 + 0*i**2 - 9\/20*i**5 + 0. What is the second derivative of c(k) wrt k?\nAnswer: -54*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5511842, 11023689, 16535538, 22047389, 27559242, 33071097, 38582954?\nAnswer: 44094813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*o - 58*o + 176*o - 58*o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/224506 and -18\/561265.\nAnswer: 1122530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 36*w**2 - w + 52. Let h be q(36). Let t be (-68)\/((-4)\/(-1))*-1 - 2. Solve h*c - t*c = 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**2 - 2*l**2 + 2*l**2)*(4*l - 4*l + 2*l**2) - 2*l**4 + 22*l**4 - 16*l**4.\nAnswer: -2*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 14 + 6 = 0. Let f = 79 + -76. Differentiate 5*g + 5*g - f*g - 4*g + j with respect to g.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - -3)*6\/(-64). Let i be 3 + 133\/(-42) + 34\/60. Sort i, -2, b in descending order.\nAnswer: i, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2381780695?\nAnswer: 5, 7, 47, 1447891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 19437 + 7031?\nAnswer: 25468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 105\/(-100) - (-2)\/8. Is -1 < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 383 and 624185441.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24522 (base 6) to base 5.\nAnswer: -104100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34 - 24 + c - 30 + 88.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -97013 - -244066. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58\/1474875 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 56932.9\nAnswer: 170798.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95 = -279*y + 284*y, 21 = v + y for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 3\/1477?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9*(-8)\/(-216) - (-10)\/(-18)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 642 divided by -214?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-nine quarters of a litre?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.5 and 442.\nAnswer: 441.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 minus -34645.85992?\nAnswer: 34645.45992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -110314, -110313, -110312, -110311, -110310?\n\"Answer: q - 110315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -2*d**5\/3 + 34*d**4\/3 - 30*d**3 + 86*d**2\/3 - 28*d\/3 = 0?\nAnswer: 0, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 11:23 AM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 54, 123, 3.\nAnswer: 3, 5, 54, 123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/7 of a week in hours?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - i + 224400 = 0, 4*d - 91405 = 3*i + 88115. Does 176 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + 3*s + 170. Is v(-10) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5439, -5446, -5459, -5478?\nAnswer: -5503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j - 11. Let d be i(-7). Solve 0*p + 2*t + 9 = d*p, -3*t - 16 = -5*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -46*h*m**2*s**3 + 7668*h*m**2 - m**2*s**3 - 3*m**2*s**2 - 2*m**2 - 23132*m*s**3 wrt h.\nAnswer: -46*m**2*s**3 + 7668*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 + 25*s - 46. Let l be p(22). Suppose -230 + l = -7*h. Is h a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -80*c**2 - 396*c**3 + 280*c**4 + 192*c**3 - 51 + 208*c**3 wrt c?\nAnswer: 6720*c + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (1 + (-12)\/6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 38 = 4*f, a + 3*f + 3 = 3*a. Suppose -1 = 5*q + a. What is the third biggest value in 0, q, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52547 divided by -5.\nAnswer: 52547\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 325961614 to the power of 1\/3, to the nearest integer?\nAnswer: 688","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9881 + 246*j**2 - 9881 - 772*j**2 to the form v*j**2 + l*j + i and give v.\nAnswer: -526","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000094542152 to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.42 and 1.\nAnswer: 4.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 5*w. Let q(k) = -563*k**2. Calculate q(u(r)).\nAnswer: -14075*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3*b = 11, 2*q = 3*q - b - 3. Suppose 224 = -q*x + u, 33 = -x - 4*u - 6. Let j be ((-20)\/x)\/(-1 + -1). Which is smaller: j or 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2383460 and 14300760.\nAnswer: 14300760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (13 - 31)\/18 + (-2 - -16573).\nAnswer: 2, 5, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 2*d + 3*d = 1, -f = 2*d + 8. Suppose -f*k + 12 + 28 = 0. What is the least common multiple of k and 2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 3*y**2 - 4*y + 38. Let r(b) = b**2 - b + 13. Let g(h) = -2*p(h) + 7*r(h). What is g(0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -627965020 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 785.3349ml to litres.\nAnswer: 0.7853349","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 9:11 PM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.01999916 + 0.02. Round v to 7 decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3283013?\nAnswer: 1291, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/2*80\/(-12). Let z(u) = u**2 - 29*u + 150. Let w be z(5). What is the highest common divisor of x and w?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -10*s - 37. Let i be f(-4). Let b(t) = t + 5. Let q be b(0). Suppose 0 = -q*h + h + 8. Solve 2*l - 10 = -i*n, -5*n = -n - h*l - 18 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 629 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 9*i - 111. Let q be c(14). Suppose 0 = -4*n + 81 + 55. Calculate the remainder when n is divided by ((-564)\/(-15) - q) + (-4)\/(-10).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83935 divided by 26?\nAnswer: 83935\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2\/77 + 73\/154. Which is the second smallest value? (a) 2\/3 (b) 2 (c) j (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express f**2 + 6*f + 4*f**3 - 3*f**3 - 7*f - 2 as q*f**3 + p*f**2 + d*f + b and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t**2 - 1135 + 1135.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ynneeeenkn. What is prob of picking 3 n and 1 y?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 - 9 = -5*f. What is the highest common divisor of f and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21656854 divided by -1?\nAnswer: -21656854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**3\/2 + 1577*d**2 + 1449632*d + 310249728 = 0. Calculate d.\nAnswer: -1424, -306","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -97492624*a + 242079855 wrt a?\nAnswer: -97492624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 240 and 733056.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-94242)\/(-973) + -8 + -89.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 71 = n - 23, -n = -k - 88. Is 26 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 26*l**2 - 557*l + 2112. What is r(5)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20486 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuuuuxuuuxuuuuuuu. Give prob of picking 1 u and 1 x.\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*q + 23311 = 496276. What is the hundreds digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence da when two letters picked without replacement from duawkaw?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -3\/4 (c) 21 (d) 74 (e) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43 - 36. What is the remainder when 46 is divided by s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 14, -1 in ascending order.\nAnswer: -12, -1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of u**6\/240 - u**5\/120 - 3*u**4\/4 + 4*u. Let p(i) be the third derivative of m(i). Suppose 6*l = 10*l - 4. What is p(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = h + 3, -2 + 4 = -2*j - h. Let w be (j\/3)\/((-12)\/(-108)). Let k(i) = -8*i - 9*i**2 + 6*i + w*i. What is k(1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2122*j**6*q**2 + 2*j**3*q**3 + 3*j**2*q**3 + 329*q**3 wrt j.\nAnswer: 254640*j**3*q**2 + 12*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/627 and 91\/456.\nAnswer: 5016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -402 by -402.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 111, 4, 0, -371 in decreasing order.\nAnswer: 111, 4, 0, -19, -371","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3 = 17. Let m(d) = -2*d + 129. What is the units digit of m(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2.61 and -2.5?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(42) - sqrt(252)\/sqrt(24))\/(sqrt(384) - (sqrt(384) + 1*sqrt(384))) + 4)**2.\nAnswer: -3*sqrt(7)\/4 + 9223\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*h - 1502 + 19637 - 10*h - 7*h - 12*h.\nAnswer: -h + 18135","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -7*a**3 + 8*a + 7. Calculate t(-3).\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-1))\/(21\/(-14)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 324395143.\nAnswer: 2389, 135787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 7*j - 5. Let h(t) = t - 1. Let m(n) = 4*h(n) - x(n). Determine m(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/4 - 2*15\/(-20).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182581 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-56)\/(-208))\/((-8)\/176) + 6?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 244*o**2 + 193*o**4 - 86*o**4 - 106*o**4 + 3 in the form z*o**4 + r + n*o**3 + i*o + x*o**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**5 - v**5 + 2*v**5 + (27*v**2 - 5*v**4 - 27*v**2)*(-2*v + 3 - 3).\nAnswer: 9*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 336921, 1348112, 3033423, 5392848, 8426381?\nAnswer: 12134016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at most 1\/24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5714?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, -93, 12 in ascending order.\nAnswer: -93, -4, -2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - -643. What is the smallest common multiple of 9 and w?\nAnswer: 5850","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1505730 - 287483 = -9*l - 262052. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w + 39. Let c(v) = -7*v + 82. Let i be c(11). Does 2 divide l(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - 2) + (26 - 34)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 4 + 12 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 18 = -5*y + y, -4 = 2*t. Suppose 2*s - 5*j = 72, -y*s - j + 95 + 49 = 0. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 - 6*j - 3. Let m be z(-4). Suppose -15 - m = -5*x. Suppose x*u = 23 + 33. What is the greatest common divisor of 42 and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -822203, -1644376, -2466549, -3288722?\nAnswer: -4110895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s\/s**(-1\/4))*s)**7\/(s**(-3)\/s*s*s**1) assuming s is positive.\nAnswer: s**(1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 96096 a multiple of 156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/5)\/((-13)\/26)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-41615)\/(-850) - (2 + 1). Let s = 630\/17 - w. Find the common denominator of 1*-7*10\/(-16) and s.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 9970263808508 from 0.5.\nAnswer: -9970263808507.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1466604 is divided by 112815?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2679 divided by -266\nAnswer: 141\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6882, 0.7, -2 in ascending order.\nAnswer: -6882, -2, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -6500*t**2 - 15*t - 6742*t**2 - 20*t + 40*t - 6. Let q be o(2). Is q\/(-36) - 2\/9 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -500 - -505. Put -3, 0, p, -12 in descending order.\nAnswer: p, 0, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 5*w**2 - 8*w + 1. Let q(d) = -3*d**2 + 4*d. Give -4*j(c) - 7*q(c).\nAnswer: c**2 + 4*c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -79174220 < -79174221?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 421 - 146. Let t = v + -270. Solve -3*p - 3*z = p + 15, 0 = t*p - 5*z - 25 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1035 + 1275. Calculate the smallest common multiple of 24 and l.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-8)*(-2)\/(-26)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -236520 divided by 108.\nAnswer: -2190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (442 - 442 + 81*d**2)*(-d + 4 - 4)*(4 + 6*d - 2*d + 3*d).\nAnswer: -567*d**4 - 324*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 4*s + 16, -3*s + 3*c - 3 - 9 = 0. What is the smallest value in 2\/285, 1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 + 9*o - 4. Let i be v(-13). Suppose 8*z - 4*z = i. What is the greatest common factor of 132 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 5*i + 14. What is the tens digit of f(15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 3:13 AM?\nAnswer: 2:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, a: 2, t: 3, s: 2, n: 6, h: 4}. What is prob of picking 2 s and 2 t?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1281 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q**2 + 13611*q - 549240 = 0. What is q?\nAnswer: -4577, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - -100112221221?\nAnswer: 100112221202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/8584250 and 49\/2675?\nAnswer: 918514750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.5, 240, 1\/2, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110 (base 2) in base 3?\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 PM and 1:18 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-10)\/(-160))\/((-3)\/(-6)). Let r = -107 - -103. Which is the nearest to 1? (a) r (b) -0.4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 6 - 0) + -2 + 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -96.6 (b) -14 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 68*u**2 + u - 3. Let r(o) = 113*o**2 + 3*o - 7. Let c(t) = 3*r(t) - 5*z(t). Determine c(10).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 352 is divided by 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -168.3265386 minus -0.1?\nAnswer: -168.2265386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g, 1 s, and 1 w when four letters picked without replacement from {w: 1, n: 5, u: 4, g: 4, s: 1}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001515 to 5 decimal places.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -6909*i - 3. Let p(d) = -1830964*d - 794. Give 3*p(t) - 794*w(t).\nAnswer: -7146*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 10 = 2*i - 6, -5*i + 2 = -4*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.015, 31.69, 0, -17 in descending order.\nAnswer: 31.69, 0, -0.015, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3 - 26052*a**2 + 494226*a + 520280.\nAnswer: 2*(a - 13007)*(a - 20)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -206 - 204 + 686 - 26*j - 207 in the form b*j + c and give c.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 5*r**2 - 7*r + 5. Let d be y(5). Let k be (36\/(-21))\/(d\/35 - 3). Let g be (1\/4)\/(2\/8). Put k, g, -1\/4 in increasing order.\nAnswer: -1\/4, g, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1343 - 1321. Which is the fourth smallest value? (a) q (b) -4 (c) -0.2 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-9)\/12)\/(2\/(12144\/6)). Let r = -7 - -10. Let y be g\/(-9) - 1\/r. Calculate the highest common divisor of 28 and y.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.6 times 34.06\nAnswer: -156.676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 - 6*i + 2. Let z = 3 + -2. Suppose o + 2*k = -1 - 0, -3*o - 5*k - z = 0. Calculate the remainder when b(-3) is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80 divided by 5.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/125*((-18330)\/630 + 29)?\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13 is divided by 20*51\/85 - 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000030187 rounded to 7 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -8*j + 18. Let m be x(-9). Let q = -86 + m. Solve n - q = -0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1492217?\nAnswer: 23, 64879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence df when two letters picked without replacement from afddwqqfo?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 5:54 AM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-5 - ((-10 - 1) + -4))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 23 = 4*s - 4, -5*k = -3*s - 16. Let h be 56\/(-8) + 4 + s. What is the second smallest value in -3, -0.05, 0.1, h?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -230 - -11?\nAnswer: -215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 25*v. Let i(t) = 7*t + 2. Give g(i(j)).\nAnswer: 175*j + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 68 + -37. Let l = 44 - s. What are the prime factors of l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1028, 2065, 3106, 4151?\n\"Answer: 2*d**2 + 1031*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -353905\/4 - -615440947\/6956. Which is smaller: g or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of 13*i**5\/45 - 8*i**4\/9 - 15*i**2. What is h in s(h) = 0?\nAnswer: 0, 16\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(539) + 1 + 0)**2*5 - (sqrt(44) + -1 + sqrt(110)\/sqrt(160) - ((sqrt(88) + sqrt(88) + sqrt(88)*1)\/sqrt(8) + 1)**2).\nAnswer: 1135*sqrt(11)\/4 + 2876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -231780 divided by -7726.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-221)\/(-78))\/17*15.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 272109 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -16*a**2 + a + 1. Let d be j(-1). Let v = d + 25. Let t be 2 - (-1 + -13 - 2). What is the greatest common divisor of t and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -10*l**5 + 13*l**4 + 10*l**3 - 12*l**2 + 3. Let o(v) = 2*v**5 - v**5 - v**3 + 6*v**4 - 7*v**4. Let s(t) = -4*o(t) - x(t). Factor s(w).\nAnswer: 3*(w - 1)**3*(w + 1)*(2*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vrvrrvrrvrrrvrr. Give prob of picking 2 r.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - (2 + -5 - 1)) + 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 20*i - 4. Let y be w(7). Suppose m + 2*k + 15 = 42, 4*m = -k + y. Does 20 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/11))**(-1\/9) assuming d is positive.\nAnswer: d**(2\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/5)\/(1\/(-15)). Find the first derivative of 7*v**3 - 3*v**3 + x*v**3 + 20 wrt v.\nAnswer: 48*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.05152 years in centuries?\nAnswer: 0.7405152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -3*5*sqrt(102)\/(sqrt(162)\/sqrt(3))*3)**2.\nAnswer: -60*sqrt(17) + 3829","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 98280 and 8157240.\nAnswer: 8157240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5733 and -33?\nAnswer: -189189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47.56727 centimeters to meters.\nAnswer: 0.4756727","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 + 39*k + 342. Determine w(44).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 3*s**3 + 2*s**2 + 3*s - 3. Let a(v) = -7*v**3 - 5*v**2 - 7*v + 7. Let r(k) = -2*a(k) - 5*z(k). Let j(x) = 7*x**3 + 5*x - 4. Calculate j(o) + 6*r(o).\nAnswer: o**3 - o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -46064785*1\nAnswer: -46064785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 481.21 to the nearest ten.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 2*a = 6*m - 44, -2*a = -2*m + 98. Is m a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4690 = -5*v - 5*a, -2*a + 13 - 15 = 0. List the prime factors of v.\nAnswer: 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 - 25. Let k = z + 90\/7. What is the third smallest value in k, 2, 3\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n - 5*n**3 + 3*n**3 + 347 + 3*n**3 + 2*n**2. List the prime factors of k(0).\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.21 + 0.21. Let s = 4 - n. Sort 0, s, 2\/3 in decreasing order.\nAnswer: s, 2\/3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 21544581 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lo when two letters picked without replacement from ool?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2\/4411 + -661604\/101453. Let o = -601\/138 - b. Find the common denominator of o and (-261)\/(-60) + 0 + 0.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 597\/7 + -85. Let w = 1.12 + -0.12. What is the nearest to w in v, -2\/3, -0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of -i**3\/6 - i**2 + i. Let z be c(0). Let d = 1 - z. Solve d*h + 2 = 5*x, -2*h + h - x + 2 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*i + 73*i. Solve i = -10*b + 9*b + 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 0.3, 2548 in decreasing order.\nAnswer: 2548, 1\/2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 610*w**6 + 41*w**3 - 42*w**2 - 2*w + 42 wrt w?\nAnswer: 73200*w**3 + 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-159)\/106)\/(-3*(-2)\/(-8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -0 + 6. Which is smaller: 0.1 or m?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140*q + 393 + 2615 = -212 for q.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 181, -0.06, 1474 in descending order.\nAnswer: 1474, 181, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -101212 (base 3) in base 7?\nAnswer: -566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0015228519 rounded to four dps?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1739 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/3 or 93?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (32\/128)\/(-3 - -5 - 3). Put q, -3, -10\/7 in decreasing order.\nAnswer: q, -10\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-5 - -13 - 8) - 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1193.202133879 and 0.2.\nAnswer: 1193.402133879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of -a**4\/12 + a**3\/6 + 2352*a. Let x(g) = -5*g**2 + 8*g - 4. What is 6*v(c) - x(c)?\nAnswer: -c**2 - 2*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + f = 71, 3*q - f - 3 - 76 = 0. Suppose -3*y + q = -4*y. Let z = y + 35. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -47.8 - -117.43. Let g = -3.47 - y. Let v = -73 - g. What is the third smallest value in -2\/11, v, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*y - 0. Let k be y\/8 - 52\/(-16). Calculate the greatest common factor of k and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2 (b) -4 (c) -0.08 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9176, -9057, -8938, -8819, -8700?\nAnswer: -8581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14352437?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 5*r**4 - 7175*r**3 + 42915*r**2 - 64325*r + 28580 = 0.\nAnswer: 1, 4, 1429","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-one quarters of a gram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 (base 11) in base 6?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 plus 16963?\nAnswer: 16946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 120 - 30. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 28\/419739 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 3*k + 32118, 3*k + 8025 = 5*q - 4*q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18*n**4 - 473*n - 41864 + 41864 + 12*n**3 wrt n?\nAnswer: 216*n**2 + 72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 3559?\nAnswer: 3559","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005115175 to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -78.6 minus -0.105?\nAnswer: -78.495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u**2 + 3*u + 1. Give s(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dl when two letters picked without replacement from {l: 2, n: 5, d: 2}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - -2032755?\nAnswer: 2032750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -126341589*g**2 - 82*g + 123448 wrt g.\nAnswer: -252683178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8789 is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**2\/7 - 982*r\/7 - 984\/7 = 0 for r.\nAnswer: -1, 492","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1935 and 10165.\nAnswer: 3933855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5857*w**4 - 6332*w?\nAnswer: -70284*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4097 = -8*f + 9*f, -9*f = 3*g - 36843. Does 44 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.3 + 0.089?\nAnswer: 26.389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, k: 2}. Give prob of sequence wkww.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*((-12)\/9)\/(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppsspssspsjssjss. Give prob of picking 1 j and 1 p.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/45 + (-68)\/(-18). Let h(r) = -r**3 - r**2 - 8*r - 9. Let k be h(-6). Suppose k = c*d - 137. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of -977*h**4\/12 - 935*h. Let j(d) = d**2. Determine j(n(q)).\nAnswer: 954529*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 770977 is divided by 5341?\nAnswer: 1873","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 26278361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 21*f + 36*f - 66*f + 7.\nAnswer: -51*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnninnnnn. Give prob of sequence ii.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*x**2 - 2*x - 13 + 2*x**2 - 2*x**2 + x**2 to the form n + k*x**2 + d*x and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -0.022 (c) 0 (d) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/4 of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33.5 - -34. Let a = -2.1 + 2. What is the closest to -0.1 in g, -2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3241 = -3*t - 4*t. Is t a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = -4*q + 29. Let d = q + 22. Suppose -d*n = -4*n - 88. Calculate the lowest common multiple of 6 and n.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98466 to the power of 1\/2, to the nearest integer?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 + l + 1. Let w(f) = -2*f**2 - 5*f - 9. What is -i(b) - w(b)?\nAnswer: 3*b**2 + 4*b + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 195085*n**3 - 3 - 30264*n**3.\nAnswer: -225349*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-675)\/24 + (-29)\/4408*-19?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiiiiiimiziz. What is prob of sequence ii?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2804 by -34.\nAnswer: 1402\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -2*j + 32. Let v(q) = -26*q + 15 + 0 + 50*q - 23*q. What is the remainder when 26 is divided by v(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -509*w. Let k(u) = -u. Give m(k(x)).\nAnswer: 509*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/6 and -5\/576.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -4\/7, 2\/3, 0.4, -0.3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/23, -1\/24765, -18, 2\/3, 3 in increasing order.\nAnswer: -18, -2\/23, -1\/24765, 2\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-2 + 8 - 8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 165 and 29920.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*s + 2*s - 10120. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.00342 + 0.40342. Put -21, 1\/7, t, -2 in descending order.\nAnswer: t, 1\/7, -2, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**5 + 13*m**4 + 4*m**3 - 52*m**2 = 0. Calculate m.\nAnswer: -2, 0, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 88*g + 4. What is the lowest common multiple of y(88) and 207?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6134 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 2*o - 268. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12927.4 to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 8*b + 35113 = 3*b, 0 = -k + 2*b + 17559. Suppose 15*c - 701 - k = 0. List the prime factors of c.\nAnswer: 2, 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12420?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 11:43 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 0*g + 36 = -3*g, 0 = -4*s - g - 52. Let l be 9\/5*(-80)\/s. Solve -3*r - 5*i = 7, 3*r - r - 4*i = -l for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.516296 and 77.\nAnswer: -116.754792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 43115\/75 + (-4)\/(-30). Let y = p - 574. Which is smaller: y or -1\/50?\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17.18 - -17. Let i = -2.08 - c. Let r = i + 1.9065. What is r rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/702 and (12\/(-18))\/(132\/(-387))?\nAnswer: 7722","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000105807 rounded to seven decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 17 = -2*w + 49, -4*x - 5*w = 33. Let c be 6\/(-3*2\/x). Calculate the highest common factor of 12 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -124*o**3 + 2*o**2 - 2*o - 111. Let n(d) = -373*d**3 + 7*d**2 - 7*d - 334. Let a(s) = 7*g(s) - 2*n(s). What is the derivative of a(x) wrt x?\nAnswer: -366*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 374878029?\nAnswer: 3, 124959343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -131 - -224. Suppose t = -92*p + 93*p. Does 8 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 87328*k**5 + 51*k**3 - k**2 - 19887091*k wrt k?\nAnswer: 1746560*k**3 + 306*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = 5*v - 30, 6*t - 5*t - 7 = -4*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-110 + 112 - -24) + 109 - (-1 + 2 - -1)?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 659.9784 + -660. Let w = m + 0.0215348. What is w rounded to 5 decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 512 divided by -512?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-1 + (-9)\/(-6)). Let v = 3 + k. Let n = 4 + v. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*r + 96 = -4*r. Let o = -11 + 19. Let u = -8 + o. Solve u = 3*c + c - r for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41987951 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 2*u - 110. Suppose u = 4*v + 2. Calculate the greatest common factor of v and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11886 is divided by 2964.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 430736 by 430736.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000505061 rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21219.\nAnswer: 3, 11, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -3*s**2 + 2*s - 2. Let t(w) = -13*w**2 + 9*w - 9. Let o(k) = 18*f(k) - 4*t(k). Suppose -3*d + 8 = d. Let i(r) = 2*r**d - r**2 - 5*r**2. Give o(i(a)).\nAnswer: -32*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + d - 35 = 0, 4*i = 19*d - 24*d + 15. Suppose -i*s = -189 - 51. What is the remainder when 121 is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d. Let a(j) = 4*j. Suppose -3*w = 18 - 30. Give w*p(y) + a(y).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*c + 208645 - 585246 = 273122. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*y - 65*y - t = 153 + 378, -t + 21 = -3*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Simplify g**7*g*g\/g**(2\/13)*(g**(1\/4))**26*(g*g**0)**40*(g**(2\/5)\/g)**18 assuming g is positive.\nAnswer: g**(5791\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = -5*x - 3*s, 5*s = 5*x + 7*s + 51. What are the prime factors of 1\/(-1)*x\/(33\/360)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 3*u - 1. Let n be t(-1). Let q be (-24006)\/n + (-3)\/2. What is q rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7709941 is divided by 550710?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*l**3 + 26 - 7 - 10 - 9.\nAnswer: -91*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 2001?\nAnswer: 1332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 8 = -4*b, -3*b - 2*w + 4*w + 2 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -93 + 90. Let j be 1\/r - (-120)\/36. Suppose 163 + 152 = j*o. What are the prime factors of o?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 32\/48 - (-356)\/6. Suppose -q = -o - 4*o. What is the highest common divisor of 108 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 128 and 1188384?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that c**4\/3 - 158*c**3 + 27864*c**2 - 2163330*c + 62253981 = 0.\nAnswer: 87, 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 PM and 2:30 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000015 to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3 - 28*u**2.\nAnswer: u**2*(u - 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 847.7167kg?\nAnswer: 0.8477167","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -770394, -770395, -770396, -770397, -770398?\nAnswer: -770399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 + -41 + 56 + 6?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = 3*x - 3, 0*v - x + 1 = 4*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of v**4\/6 + 4*v - 116. Let c(w) = 2 + 0 - 2 - 71*w. Calculate p(c(f)).\nAnswer: 10082*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4901124, -4901127, -4901132, -4901139, -4901148, -4901159?\n\"Answer: -x**2 - 4901123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -52221 divided by -5?\nAnswer: 52221\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**(2\/9)*x)*x**11\/x*(x*x*x*x\/(x\/((x\/(x**(2\/21)*x))\/x)))\/x**(-1))**(-8\/15) assuming x is positive.\nAnswer: x**(-6392\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -100 + 132. Calculate the remainder when (-528)\/(20\/(-5)) - -7 is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 4*u, -4*i + 0*u + 2*u = 0. Suppose -l + 3 + 3 = i. What is the third derivative of -j**2 - 3*j**6 + 0*j**2 + 5*j**l wrt j?\nAnswer: 240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2513\/5 + -502. Let w = 4.46 - 4.49. Which is the nearest to -1? (a) 0 (b) g (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 220246265 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 2575 divide 2248460105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1675*d + 1655*d + 55820. Calculate the remainder when d is divided by 165.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2974, 10, -140, -3 in descending order.\nAnswer: 10, -3, -140, -2974","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 200?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.3 (b) -0.04844 (c) 1\/9 (d) 3 (e) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/32 of a week?\nAnswer: 945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 1 - 4)*(10 - 15 - 5)*(6*q + 3 - 3) in the form v + f*q and give f.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -99555*k - 12444368. Calculate x(-125).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 418*j - 1532*j - 1596*j.\nAnswer: -2710*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 304*m + 20 = 300*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 289855895?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {i: 10, v: 6, c: 2}.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of 6*t**3 + t**2\/2 - t + 2. Suppose 4*b - 1 = 3*q, -3*q + 2*b = -b. What is the tens digit of j(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4b477 (base 13) to base 10\nAnswer: -139185","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 410283?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*y**6 - y**2 - 72*y?\nAnswer: 1320*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 46*b - 75 - 73 + 148 + b + b - b + 0*b + 0*b + b - b + 3*b - b + (b - 4 + 4)*(4 - 1 - 2) - 3*b + 6*b - b + 2 + 2*b - 2.\nAnswer: 54*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**2)**(18\/11)\/((m*m**0*m*m)\/(m**6\/m)) assuming m is positive.\nAnswer: m**(76\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 872 = -h, 4*y + 27*h = 25*h - 688. Which is bigger: -15 or y?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*i**5 - 3*i + 3*i + (4 - 2*i**4 - 4)*(-6*i + 4*i + i) + (0*i - 3*i**3 + 0*i)*(8*i**2 - 4*i**2 - 3*i**2).\nAnswer: -5*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 2*q - q)*(-1 + 6 - 2)*(-54*q**2 - 70*q**2 + 44*q**2) + (-17*q - q + 4*q)*(-q**2 + 0*q**2 + 0*q**2).\nAnswer: 254*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.29? (a) -1 (b) -5 (c) 1\/18 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 187 at least as big as -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 49709.06 decades in centuries?\nAnswer: 4970.906","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.7 - -0.3. Let y be 3 + -2 + 30\/(-26). Let m = 7365 + -7365.1. What is the nearest to m in y, h, 0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117143749 to the power of 1\/2, to the nearest integer?\nAnswer: 10823","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 71709008.36.\nAnswer: 71709000.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/2 (b) -15 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -9. Let r be 16 - (-4 + y)\/1. What is the first derivative of -4 - 3*c**4 + r*c**3 - 17*c**3 wrt c?\nAnswer: -12*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6452972 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 53711 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 25 = h. Suppose -3*d + 0 - 6 = 0. Let y be d*1\/(-2)*h. Solve 5*a - y - 5 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 6)*(s - s + s**3) - 2*s**3 + 3*s**3 + 4*s**3 + (-s**3 - s**3 + s**3)*(6 - 9 - 3).\nAnswer: 13*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (((-3)\/4)\/(216\/960))\/(152\/57)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -30\/13*h**2 - 32\/13*h - 8\/13 + 8\/13*h**4 + 8\/13*h**3 = 0. Calculate h.\nAnswer: -2, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-17 - -7 - -3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 785 is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-6)*45\/10. Let x be -1 + 0 - -1*1. Let a(v) = 2*v + x*v - l*v + 0*v. Let d(j) = 3*j. What is a(d(c))?\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -216, -427, -636, -843, -1048, -1251, -1452?\n\"Answer: x**2 - 214*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -23 - 22 + 6*j + 9. Let y be x(15). Let t = 49 - y. Which is the closest to -2? (a) t (b) -2\/11 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -511*u + 506*u + 2 - 1.\nAnswer: -5*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14786967?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 480*f*n - 279*f + 3 with respect to n.\nAnswer: 480*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000111000000100111 - -100?\nAnswer: -1000111000000100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20020010 + 5414?\nAnswer: -20010152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -107*r**2 + 1967*r - 243. Calculate n(19).\nAnswer: -1497","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*o**5*r**3 + 2*o**4*r**3 + 6*o**2*r**2 - 4*o*r**3 - o wrt o.\nAnswer: -660*o**2*r**3 + 48*o*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -2552\/7085?\nAnswer: -2552\/7085","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 9:27 PM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1311 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3 - (-92)\/(6\/3) and 99\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-80)\/10 - (1 - 3). Let c = n - -8. Is c a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28895864611 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -4\/3, 0.2, 32?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 0 - (-4)\/(3 + -2) and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 640 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/(-26) - (-95)\/76*-1)*44?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m + 9. Let a be j(4). Suppose a*z = 16 + 99. Let u = z - 21. Solve 2 = u*o - 3*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -5*s**3 + 2*s**2 + 2*s - 3. Let t be m(1). What is the nearest to 4\/9 in t, -4\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(3\/13)\/r**(-4\/9))**(-24) assuming r is positive.\nAnswer: r**(-632\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5509*w = -4928*w - 10458 for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(612))**2 + sqrt(612) + 0 - (sqrt(612) - (sqrt(612) + -1*sqrt(612)*1)) - (5 + (4 + (sqrt(187) + 3*sqrt(187) - sqrt(187))\/sqrt(11))**2).\nAnswer: -24*sqrt(17) + 438","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*a**2 + 117 + 9*a**2 - 22*a**2 - 32 - 63.\nAnswer: 5*a**2 + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -g - 2*g - 3*g - 13*g**2 - 4*g wrt g.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j**2 + 14*j + 5. Let a be p(7). Suppose 2*s - a*c = 20, 2*s + c - 4*c = 24. Solve -3*q + 0*q = s for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -93516246*i**5 - 3*i - 163171968?\nAnswer: -1870324920*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1774, 3549, 5324?\n\"Answer: 1775*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.317974 less than 89?\nAnswer: 88.682026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3387 divided by -11\nAnswer: -3387\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 42428423 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14406 >= 14404?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4747 - 4768.89. Let k = -0.11 + v. Let n = k + 22.36. What is n rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w - 3. Let f be d(-3). Suppose f = 3*k - 5 - 7. Let v be (-553)\/(-63) + (-4)\/(-18). Solve q + 0*n - 2*n = 0, n = -k*q + v for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -4*c**2 + 3. Give x(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1602, -1580, -1558, -1536, -1514?\n\"Answer: 22*q - 1624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 - (-5 + (-56)\/(-52)))*-2. Put 0, v, -7, 4 in ascending order.\nAnswer: -7, 0, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, q: 1, t: 1, z: 1}. What is prob of sequence vq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -13 - 13d8caa?\nAnswer: -13d8cbd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 121135, -12, -1 in decreasing order.\nAnswer: 121135, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 143351683?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/5*((-238)\/15 + 16).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 2*q - 4*c, -q + 5*c = 12. Calculate the remainder when (-2 - (-23)\/q)\/(8\/24) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 p, and 1 g when three letters picked without replacement from psbpbusvubupspbug?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/508620 and 23\/24?\nAnswer: 1017240","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 21*w**3. Let n(o) = o**2 + 5*o - 5. Let p be n(-6). Does 14 divide a(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -33 + (19 - 6 - 2) + 22?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nt when two letters picked without replacement from tnntnnnnntttnttttnt?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93874.5 nanograms to kilograms.\nAnswer: 0.0000000938745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - (0 - (4 - -17))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 868 = -0*m - 4*h, -1295 = -3*m - h. Does 12 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = 3*y - 11 + 5, -3*o - 6 = -3*y for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.5 (b) 10\/3 (c) -2\/6173 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 - 305 = 3*w - 2*l, -3*w - 5*l = -3376 + 3707 for w.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (24\/40)\/(2\/(40\/234)). Which is the third smallest value? (a) 1\/5 (b) -5 (c) 5 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 12*u**2 + 5*u - 1. Let z(k) = k + 13. Let b be z(-9). Is y(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 16 - -5*1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-6)\/u*u\/((u*u\/u**(-4))\/u)*u*u)\/(u**(5\/4)*u**10\/u*u))**(-7\/4) assuming u is positive.\nAnswer: u**(539\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 103\/3060 + -7\/90. Calculate the common denominator of -49\/8 and w.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 2*a. Suppose 0*b = -2*b + 3*s + 21, -b + s + 9 = a. Solve 2*h - b*h = 20 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + -c8b?\nAnswer: -c90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 114179 - 114179 - f. Let n(v) be the third derivative of 11*v**7\/840 + v**4\/12 + v**2. Let w(q) be the second derivative of n(q). Calculate o(w(c)).\nAnswer: -33*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178*q = -1498 - 54 + 128 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20710 - 455717\/22. Let f = 12 - -12. Find the common denominator of ((-2)\/f)\/((-4)\/(-231)) and c.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3998*y + 30 = 5*a + 3993*y, 0 = -3*a - 2*y - 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183594 is divided by 7060.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i - 10. What is the remainder when q(-21) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(19) + 1 + sqrt(19))*-2.\nAnswer: -4*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 6 + (3 + -8 - -6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 5*j**3 + 3*j - 6. Let s be r(2). Suppose -23*n - s = -28*n. Solve -3*a - 2*u = -3, -4*u + 17 = 3*a - n*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 - 4*q - 3. Let k be v(8). Suppose 3*a - 3*l - 52 = 62, 4*l - 100 = -2*a. Let g = a - k. What is the highest common divisor of g and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 111516479?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - -3 - (-5 - 422). Suppose 16*w = g - 140. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 354 - 354 - 32*k.\nAnswer: -32*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-44)\/77 - 3\/7. Let s(b) = 17*b**2 + 2*b + 1. What is the lowest common multiple of 14 and s(p)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*s**2 + 6*s**2 + 95 - s**2 - 306*s**4 + 303*s**4 as i*s**2 + k*s**4 + n + y*s**3 + u*s and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/((-6)\/(-4)*(-4)\/2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.83004 millennia in decades?\nAnswer: 2583.004","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -35052, -145009, -328278, -584865, -914776?\n\"Answer: -h**3 - 36650*h**2 + 1599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l - 2. Let g = -22 - -28. Suppose -i = -2*y - 0*i - g, 2*i + 4 = 0. Give z(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + q + q)*(1 + 1 + 0 + 3 + 4 - 4 + (-1 - 1 + 1)*(1 - 4 + 2) - 5 + 0 + 2) + 0*q + 2*q + 2*q.\nAnswer: 7*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/20 and 101\/3816?\nAnswer: 19080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 + w + 1. Let n(m) = -4*m**2 - m + 1. Let r(p) = n(p) - 3*z(p). Let q be r(-3). Which is the third biggest value? (a) q (b) 0.2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 144190110?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((5*-1*sqrt(112))**2 - sqrt(112)) + 0 + -5.\nAnswer: -4*sqrt(7) + 2793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-17)\/34)\/((-2)\/12). Let k(j) = 2 - 23*j**3 - 19*j**c + 41*j**3 - 5*j**2 - 4*j. Give k(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + 29*m**2 + 8*m + 635. Let w be u(0). Calculate the greatest common factor of w and 1016.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.3, 313, -3, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -191*g**2 - 250 wrt g?\nAnswer: -382*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1 (b) -1\/12 (c) -3 (d) -2\/7 (e) -147\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 21*w**2 + 8 - 8. Let g(k) = -k. What is t(g(y))?\nAnswer: 21*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -790*r + 1480*r - 793*r.\nAnswer: -103*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (405\/(-108))\/((-5)\/20). Let a(c) = -c**2 + 15*c - 20. Give a(t).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23041 is divided by 92?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 97 + 71. Calculate the remainder when 222 is divided by g.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*m - 2*m - 2*m)*(338*m - 170*m + 415*m + 138*m) in the form x*m + t*m**2 + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -2633468?\nAnswer: -7900404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3484 and 7.\nAnswer: 24388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3255 = -7*b - 665. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 13*u**2 + 2559*u - 401. Calculate b(-197).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, s: 1, h: 1, d: 1, e: 1}. Give prob of picking 1 s and 1 d.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/5 + 3933\/(-19740). Let g = 9117\/1316 + b. What is the common denominator of g and 27\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**3 + 470652*x**2 + 2353160*x.\nAnswer: 4*x*(x + 5)*(x + 117658)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/8 - 5627496*i + 63337422460032.\nAnswer: (i - 22509984)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 202222 (base 5) in base 14?\nAnswer: 256a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -25*s**5\/3 + 3845*s**4\/3 - 45935*s**3 + 107035*s**2\/3 + 26950*s\/3 = 0.\nAnswer: -1\/5, 0, 1, 55, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*d - 1119998 = -l + 27*d, -3 = -3*d. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 88 + -66. Let n = 31 + c. Let o = -52.6 + n. What is the third smallest value in 5, o, -3\/5, 1\/4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**2 - 245452*t - 60870680.\nAnswer: 4*(t - 61610)*(t + 247)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -263*k**2 + 15*k - 1. What is j(-2)?\nAnswer: -1083","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.19 - -1.91. Let x = l - 4.8. Let y = -3 - x. Sort y, 0.2, 0 in increasing order.\nAnswer: y, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 w when three letters picked without replacement from wwwwvwwwwwwwwww?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 32*c**3 - 6*c**2 - 2*c + 49. Let y(r) = 65*r**3 - 11*r**2 - 5*r + 99. Let o(h) = -5*v(h) + 3*y(h). Is o(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -106683.\nAnswer: -32004.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10122 (base 3) to base 9.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 98 + -72. Suppose 19*x - b*x + 35 = 0. Let z(o) = 0 - o**2 + 0 + 2 + x*o - 7. Determine z(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -225*h - 210. List the prime factors of y(-10).\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 3*a - 4218 = 0, -m = -2*m + 4*a + 1396. Suppose h + 411 - m = 0. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 91 + -0.274656.\nAnswer: 90.725344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h - 1362*j + 1365*j = 47, 4*j = -2*h + 88 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156) - -2*(sqrt(156) + sqrt(156)*-2) - (sqrt(156) - (-3*sqrt(156)*-1 + sqrt(156) - sqrt(156) - sqrt(156))))\/(3*sqrt(12)*4*-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -36695 divided by 2?\nAnswer: -36695\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/2370 and -13\/135.\nAnswer: 21330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3*l = 34, 3*y - l = 3*l + 49. Suppose -24 = -r + 5*o, r - 2*o = 2*r + y. What is the units digit of (-18)\/(-1 - (r + 1))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -233021 (base 5) to base 15.\nAnswer: -27c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 6*k = -80. Let w(f) = -f**3 - 9*f**2 + 34*f + 9. Is w(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 3 = a - 9, 0 = 2*i - 5*a + 6. Let w(y) = -y**2 - y**2 + 2*y + 3 + y**i. What is w(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**3 - 1180*g**2 - 3527*g + 4708 = 0 for g.\nAnswer: -1177, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*n + 49 - 6*n - 19*n.\nAnswer: 2*n + 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (-2)\/((-18)\/(-101)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u + 2783 = 1307. Calculate the lowest common multiple of 164 and u.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -3*l - 105. Let m(x) = -19*x**2. Calculate p(m(s)).\nAnswer: 57*s**2 - 105","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2535327.\nAnswer: 3, 93901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) -5924 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -88 + 71 + -11 + 9 + 8.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 = 9*c - 12*c. Let m = -40 + c. Let t = 6 + -3. What is the nearest to m in t, 0.1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*o - 4*o + 2*l + 14, 3*o - 5*l - 7 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2 = 22. Calculate the remainder when (k\/(-3))\/((-2)\/(-30)) is divided by (37\/(-3))\/(-1) + (-4)\/(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44385773 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -15, 5, -2, -16, 36, -4 in descending order.\nAnswer: 36, 5, -2, -4, -5, -15, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - a**2 + 10*a - 6. Let o be m(-4). Suppose 1997 = 3*k + o*r, 0 = -3*k + 2*r + 1726 + 267. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 35064*l**5 - l**2 + 429*l - 1 wrt l?\nAnswer: 2103840*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzp when three letters picked without replacement from blxslxlpzblz.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10457621 to the power of 1\/4, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -12824*n**2 - 12183*n + 12183*n in the form i*n**2 + c + v*n and give i.\nAnswer: -12824","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46106027, 92212059, 138318091, 184424123, 230530155?\nAnswer: 276636187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1725 - 638. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - -1445540?\nAnswer: 1445543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -185.388 - -183.388. Suppose -8 = 3*f - 2. Let w = 2 - -3. What is the closest to f in w, -5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-410)\/(-328)*(-292)\/146.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1464 + -1440. Solve c = -39*m + 27*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -20 + 4*l - 71*l**2 - l + 3*l + 6*l + 102*l**2. What is the hundreds digit of u(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -429.79794 rounded to one decimal place?\nAnswer: -429.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163625 is divided by 8551.\nAnswer: 1156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 7*w**3 - 17*w + 2. Let g(i) = 20*i**3 - 49*i + 7. Let u(h) = 11*b(h) - 4*g(h). What is l in u(l) = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p - 5 = 9. Do p and -4\/49 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10940*l*m**2*y**2 + 104271892*l*y**2 - 1120*m**2*y**2 wrt m.\nAnswer: -21880*l*m*y**2 - 2240*m*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 124 + -87.5. Let s = 5141000074.49999781 + -5141000038. Let h = b - s. What is h rounded to seven dps?\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*u**2 + 93*u**2 - 4*u**3 + 88*u**2 - 270*u**2.\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -1, -9, -19 in descending order.\nAnswer: 9, -1, -9, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11*75\/(-165) + (-22)\/2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2808844158, -2808844157, -2808844156?\nAnswer: -2808844155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 7*x**2 - 3*x + 3. Let z(g) be the second derivative of g**4\/12 + 700*g. What is k(o) - 6*z(o)?\nAnswer: o**2 - 3*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -37966*x**3 - 158*x + 92303112.\nAnswer: -113898*x**2 - 158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + 24*l + 26. Let r be w(25). What are the prime factors of ((r + 0)*-6)\/((-2)\/18)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 48*w. Let p(f) = -323743*f**2. Calculate p(z(a)).\nAnswer: -745903872*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 2\/7 (b) -2 (c) 1\/9 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 712 and 267?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/(-4))\/((-36)\/(-192)). Solve r = y*r - 12 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -5*y - 0*s + 861, -2*s + 177 = y. Let z = y - 171. Put -1, z, -8, -2 in decreasing order.\nAnswer: z, -1, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -8\/11, -2\/21, 16, 0.017, -0.3?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58678781.\nAnswer: 7, 17, 37, 13327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 110212 to the power of 1\/2, to the nearest integer?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 24. Let m(w) = -w**2 + 4*w + 5. Let u be m(4). Suppose u*b - 4*b = r. Is b a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -73018?\nAnswer: 73018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 4118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5*4\/((-20)\/(-33)). Suppose 4*z - w - 23 = 0. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 2*v**2 - 8*v + 7*v + 3*v + 3 to the form q*v + o + f*v**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*i - 211961 - 66895 = 0. List the prime factors of i.\nAnswer: 2, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23*o**3*u**3 - 15*o**3 - o*u**2 wrt u.\nAnswer: 138*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -4*q - 3 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 56 and 1096?\nAnswer: 7672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*j**3 - 5*j**3 - 7*j**3 - 53*j**2 + 7*j**3.\nAnswer: -12*j**3 - 53*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Solve 22*j - 3397 + 10155 = -51*j - 145*j for j.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 59? (a) 0.1 (b) 28 (c) -5 (d) -1\/4 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-21))\/(5 + (-185)\/35)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of -5*f**8\/14 + 5*f**4\/6 + 17*f. Find the third derivative of l(q) wrt q.\nAnswer: -2400*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q - q + 331*q**2 + 41*q**2 - 4*q.\nAnswer: 372*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of 5*h**7\/7 + h**4\/12 - 82*h**3\/3 + 85*h**2 - 3. What is the second derivative of x(g) wrt g?\nAnswer: 1800*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 + 8*p - 6. Let m be 4\/(-3) - 14\/21. Let d be 0*((-2)\/2 - m). Suppose 5*o - 15 - 10 = d. Give c(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -0.6, 1958, -7, 3 in increasing order.\nAnswer: -7, -0.6, 0.1, 3, 1958","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ivvl when four letters picked without replacement from {l: 5, i: 1, v: 11}.\nAnswer: 55\/5712","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24 (base 12) to base 5.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 480 and 4128.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x + 11. Let i be q(-11). Suppose -5*z - 50 = -i. Let l = 12 + z. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2867975, -5735962, -8603949, -11471936, -14339923, -17207910?\n\"Answer: -2867987*s + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 27420, 109656, 246714, 438594, 685296?\n\"Answer: 27411*r**2 + 3*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**(-1\/4)*z))\/((z*z\/z**(-2\/3))\/z))**(-5\/2) assuming z is positive.\nAnswer: z**(85\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6673 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-6)*16\/14?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by -739207.\nAnswer: 11\/739207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**2\/13 + 158294*l\/13 - 6968808\/13 = 0. What is l?\nAnswer: -79191, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 - (2 + -2 - 0) - -28. Find the second derivative of -14*u + l*u + 3*u**2 + 21*u wrt u.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oomkkkokmmkcocmkoo. What is prob of sequence oko?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from {a: 2, m: 11}?\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -4*g - 54. Let q(x) = -4*x - 52. What is -5*h(w) + 6*q(w)?\nAnswer: -4*w - 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 115*x - 38*x - 40*x - 38*x - 100 to d + k*x and give d.\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*p - 23 + 17*p + 27 + (-4 + 5 + 0)*(0*p + 2*p + 0*p) + 2*p - 2*p + 2*p as l*p + i and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/(-138) - 201\/(-69). Solve o - 5*k + 17 = -3*o, 15 = -4*o + a*k for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 5*i**2 - 2*i - 4. Let t(o) be the third derivative of -o**5\/60 + 2362*o**2. Calculate -l(h) - 4*t(h).\nAnswer: -h**2 + 2*h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 n when three letters picked without replacement from hlgnblni?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzzkqkkzqpk. Give prob of picking 1 p, 1 k, and 1 z.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21 - -15 - -13) + (0 + -1 - 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2529 + 2364 - 7260 + 2367 + 3*i.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 357212535?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 20 - (2*-3)\/(-3). Suppose 23*s = d*s. Let b be (-1)\/(-6) - -17*21\/(-2034). Is b < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.08 (b) -1\/47 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11587 + 22689. Round a to the nearest one hundred.\nAnswer: 11100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -4*i, 0 = -5*x + 4*i - 3 + 8. Suppose x*o + 60 = 3*r + 2*o, 0 = -r - 5*o + 14. Is r a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a century in decades?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 40, -5, -9 in increasing order.\nAnswer: -9, -5, -3, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a**2 - 4*a + 5. Let d be b(-4). Let s(t) = -19*t + 34*t + 8 - 17*t. Is 15 a factor of s(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/13)\/(y\/y**(-5\/3)))**(-19\/3) assuming y is positive.\nAnswer: y**(2090\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 3 + 9 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yymyyzymzyyyymyy. Give prob of picking 2 z.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -269762922*f**3 + 280870*f**2 - 1.\nAnswer: -1618577532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2257 is divided by 282?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/12, 19078, 8 in descending order.\nAnswer: 19078, 8, 1\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -986*g - 777*g - 1087*g + 368*g - 3468*g to x*g + u and give x.\nAnswer: -5950","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 6*a**2 + 302 + 75*a - 309 + 67*a**2. Let u(o) = 73*o**2 + 75*o - 6. Let p(m) = -6*n(m) + 7*u(m). Find the second derivative of p(c) wrt c.\nAnswer: 146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u**2 + 3*u - 5*u**2 - 1739 + 446.\nAnswer: -5*u**2 + 3*u - 1293","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -748401990 to the nearest 100000.\nAnswer: -748400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c**2 + 0*c**2 - 3*c**2)*(2*c + 1 - 1) + (-2*c - 8*c + c)*(2*c**2 - 2*c**2 - 4*c**2).\nAnswer: 38*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 5:46 AM?\nAnswer: 3:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32 or -2?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (181380\/(-169288))\/((-3)\/(-70))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21626c (base 14) to base 4.\nAnswer: 10110020020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + 67*t - 1001. Calculate j(22).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zxf when three letters picked without replacement from {q: 1, f: 2, z: 1, y: 1, x: 2}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-46*285\/(-15295))\/(16\/(-7))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1335 + 2?\nAnswer: -1333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -66.125 - -0.125. Let p = 67 + m. Is -2\/7 less than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.17191 * 123.\nAnswer: 21.14493","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-2\/13))\/r**(-22))**(-30\/7) assuming r is positive.\nAnswer: r**(-1290\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11510 - -18042. Suppose -5*d - u = -2193 - s, 4*d = -5*u + 6980. What is the hundreds digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1225?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 4 - 10*n - 7 - 3. Let q(v) = 3*v + 3. Let t(f) = -7*f - 7. Let o(l) = 9*q(l) + 4*t(l). Determine 6*o(b) - p(b).\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -k + 3. Suppose 0 = 3*n - 6 + k. Let x be ((-1)\/(-2))\/(2\/28). What is the greatest common divisor of x and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -13. Suppose -63*g + 68*g = -40. Calculate the least common multiple of w and 664\/64 - (-3)\/g.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*y + 2689 = -783. Suppose 5*z - y = 83. Does 5 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 8469462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*b - 36*b + 14*b + 69*b**3.\nAnswer: 69*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 11*x**2 + 12*x + 2. List the prime factors of c(6).\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -2*g - 5*f, 24*f + 28 = 12*g + 20*f for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 176 - -1?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28 - -19. Calculate the common denominator of (-20)\/132*g - 3 and 41\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 67*t - 18. Let b(j) = -34*j + 8. What is 7*b(p) + 3*m(p)?\nAnswer: -37*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 14a3 + -3?\nAnswer: 14a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 12.8 from 0.96063786.\nAnswer: -11.83936214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + b + 1 + (3 - 2 + 1)*(2*b + 2*b - 2*b) + 2*b + 3*b - 3*b + 5*b - 2*b + 0*b + (-6*b + 5*b + 2*b)*(2 + 3 - 3).\nAnswer: 12*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 77\/30 + -2\/3. Let s = i + -5\/2. Suppose -10 = 2*o - 0*o. What is the second smallest value in o, s, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(28\/(-294) + 5304\/126)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-1*sqrt(98) + -2*sqrt(98) + 2 - (-5 + 3*(sqrt(98) + 2)))**2.\nAnswer: -14*sqrt(2) + 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 2*t**3\/5 - 108*t**2\/5 + 186*t + 15376\/5 = 0.\nAnswer: -8, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) - 1*(sqrt(2) + 0))**2.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -144 or -0.0078?\nAnswer: -0.0078","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 308231538.\nAnswer: 2, 3, 51371923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7626164, -7626140, -7626114, -7626086, -7626056, -7626024?\nAnswer: -7625990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 84\/3024 - (-4)\/18?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a century in decades?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7415 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -4*x. Let t be q(-5). Let u = t + -16. Suppose 48 = u*l + 4*a, 4*l + a = -9 + 51. What is the smallest common multiple of l and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 AM and 7:36 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 0*x + 2. Let w(r) = 4*r**3 + 19*r**2 - 6*r - 13. Let m(s) = -3*s**3 - 18*s**2 + 6*s + 14. Let p(k) = x*w(k) - 3*m(k). Is p(-15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 9*u - 8. Suppose u*f - 6 = 2*m, 0 = 2*f + 2*m + 3*m + 22. Let j = f - 2. Put -4, j, 0 in decreasing order.\nAnswer: 0, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1 - 10 + 1 + 2 + 9*a**4 wrt a?\nAnswer: 36*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-2 + sqrt(5) + sqrt(5) + -3 - sqrt(180)\/sqrt(4)) + (sqrt(5) + 1 - sqrt(5))*-1*-2)**2.\nAnswer: -14 - 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (109 - (-1 - -1))\/(-1). Let t = 14712 - 14706. Let g = t - n. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1068448 - -0.107. Round h to five dps.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6523*w + 1519232 = -11781*w for w.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -22*t + 27. Suppose 2*k = t, -k + 2 = b - 1. Solve 2*q - 3*w = q + 10, 0 = -2*q - b*w - 20 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (72306\/20909)\/(-117)*(-1)\/6*56\/20?\nAnswer: 2\/145","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x**3 - 30*x**2 + x + 16. Let u be s(-15). Let a be (4 - u)\/((-54)\/(-198)). Solve -5*j - a = -b, -22 = 4*b - 0*b + 2*j for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4695 divided by 41?\nAnswer: -4695\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27\/(-35) - -1 - (-7)\/35.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 1\/5, 1, -5, -215, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(1\/(4\/4)). Let h(m) = m - 13. Determine h(t).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1422 to three decimal places.\nAnswer: -0.142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of x**5\/20 - x**4\/6 + x**3\/6 - 19*x. Let i be u(2). Suppose 3*h = -i*h + 445. What are the prime factors of h?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 20*h. Let k(b) be the third derivative of -b**5\/60 + 15*b**2. Determine r(k(u)).\nAnswer: -20*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -7.7. Let o be (-12)\/24 + -2 + (-1)\/(-2). What is the second smallest value in v, o, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1743 (base 11) to base 13.\nAnswer: 1022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2443848 divided by 4?\nAnswer: -610962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -608*f**3*s - 627*f**2*s - f*s + 9*f - 136*s - 11 wrt f?\nAnswer: -3648*f*s - 1254*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164*g - 147 = -185*g. What is the remainder when 527 is divided by g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10872 plus -0.2?\nAnswer: 10871.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**4\/3 + 5488*o**3 - 9714855*o**2 + 13691937002*o\/3 = 0. Calculate o.\nAnswer: 0, 971, 14522","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13711?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 70056\/(-4170)*(-9)\/84?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + d + 7*d)*(4*d**4 - 3*d**4 - 2*d**4).\nAnswer: -5*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/((-42)\/(-9) - 4). Suppose -d*p = 4*p - 1092. List the prime factors of p.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: -11 + (2 + -4 - -7)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/3, 3\/5, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 377*z + 780 = 403*z for z.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*p**2 + 3*p + 4*p - 7*p - 18 - 2*p**3.\nAnswer: -2*p**3 + 22*p**2 - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-6) - (-8)\/(-48).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence umm when three letters picked without replacement from {z: 1, h: 2, t: 3, w: 2, m: 3, u: 1}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23.9 + 45.9. Which is smaller: -4 or j?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/o**(-2\/131))*o)\/(o**(2\/15)\/o))\/(o**(-3\/25))**(5\/7) assuming o is positive.\nAnswer: o**(5329\/2751)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52 and 520.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 4*l + 175 = -154, 5*c + 554 = l. Let u = 112 + c. Let o be (-3)\/(-9) + 26\/3. Solve -o = 2*p - u for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 2\/423, 3\/898.\nAnswer: -3\/4, 3\/898, 2\/423","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/45 - 345\/27. Let u = v - -236. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-363)\/(-77) - 9)*826\/(-295)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/21)\/(m*m\/(m**(7\/4)*m)*m*m*m*m)*m**(6\/11)*m**(-8)\/m)\/((m*m**0*m)**(-21)*m\/(m\/(m**(-1\/2)*m)*m)*m*m**(1\/10)) assuming m is positive.\nAnswer: m**(137633\/4620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.34555*-380.9.\nAnswer: 131.619995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of -3*x**2 - 5*x - 18. Give i(4).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 157303721*j**3*q - 81900518*j**3 - 2*j**2*q**3 + 3 wrt q?\nAnswer: 157303721*j**3 - 6*j**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 112 and 4408?\nAnswer: 61712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -5*o. Let w(c) be the third derivative of c**6\/120 + c**3\/3 + c**2. Let t(i) be the first derivative of w(i). What is a(t(b))?\nAnswer: -15*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 18*d**2 - 1 + 2 to k*d + o + p*d**2 and give p.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 232318758 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 495824?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 plus 30001?\nAnswer: 30005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12233.3 + 12233. Which is the closest to 50? (a) -0.2 (b) o (c) 2\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooonnommmmnmonm. What is prob of picking 3 o?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 372, 825, 1288, 1767, 2268, 2797, 3360?\n\"Answer: l**3 - l**2 + 449*l - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 30787047167 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -21*11436270\nAnswer: -240161670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 96 + -89. Put -1, 2, b in decreasing order.\nAnswer: b, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 2*d**3 + 18*d**2 - 2*d - 18 = 0.\nAnswer: -9, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 5, 3, 694, -5, 4 in increasing order.\nAnswer: -11, -5, 3, 4, 5, 694","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2457.167 + 2461. Let x = b - -0.167. Which is smaller: 11 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*n**2 + 2*n**2 - 7*n**2)*(-14*n + 3 - 3) to f*n + q*n**3 + b*n**2 + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 199.3568037 - -128.\nAnswer: 327.3568037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168382 is divided by 2108?\nAnswer: 1850","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*d = -8*d - 48 - 17232. Calculate the least common multiple of d and 27.\nAnswer: 1728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: -2.42 + -0.062961339493\nAnswer: -2.482961339493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 2*t + 1 = 6, -4*t - 18 = -2*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -2*a + 19, 3*a + 5*o + 15 - 50 = 0. Let x = a + -7. Solve -2*d - 10 = x*u, 0 = -3*d - 0*d - 5*u - 17 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2677484098 - 0.037417\nAnswer: -2677484098.037417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 247801?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-21)\/63 + (-133)\/36 and 35\/64?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 5*l**2 - 9*l + 6. Let q be s(-7). Let y = q - -25. Let j = 14 - y. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16706 and 1820954?\nAnswer: 1820954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 7:48 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -11*c + 4. Let v be 180\/54*5\/((-10)\/(-3)). Let s(w) = -57 + 62 - 4*w + 2*w - 10*w. What is v*z(a) - 4*s(a)?\nAnswer: -7*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 AM and 3:53 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 224634 and 696?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d**3 - 2*d**2 - d - 4. Let o(f) = 4*f**3 - 3*f**2 - f - 3. Let b be (-98)\/34 + (-2)\/17. Determine b*i(x) + 2*o(x).\nAnswer: -x**3 + x + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 0*x + 318 = 5*x, 0 = -5*n + 3*x + 1450. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ixixiiviivvvxi. Give prob of picking 1 x and 2 v.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 14 = -26. Suppose 2*l = 5*l - f. Suppose -8 = -4*d, 0*h - 4*d = 3*h + 1. Which is the second biggest value? (a) l (b) h (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 27*n**3 - 6*n**2 + 11*n - 57. What is the thousands digit of y(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 938, 916, 870, 794, 682?\nAnswer: 528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1\/412 + 829\/2060. Which is the closest to -1? (a) 5 (b) 4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2385.3 + 2384.8. Let w = -2.04 + 0.04. Sort b, w, -0.1, -6 in decreasing order.\nAnswer: -0.1, b, w, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -34*y - 15. What is the remainder when l(-12) is divided by -22 + 20 + 0 + 46?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 19*w**4 - 14*w**3 - 5*w**2 - 3*w + 1914623 wrt w.\nAnswer: 76*w**3 - 42*w**2 - 10*w - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - 1. Let d = q + -8. What is the third derivative of d*y**6 - 11*y**6 - y**3 + y**3 - 5*y**2 wrt y?\nAnswer: -960*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 43\/2 of a millennium?\nAnswer: 215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 10 = 6*n. Find the common denominator of (-4 - -4) + 45\/n and -43\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s**(2\/7)))\/(s*(s*s\/(s\/(s*s\/s**(-2\/9)*s))*s*s)\/s)*(s\/s**9)\/s*(s\/(s*s**(-5\/4)))\/s assuming s is positive.\nAnswer: s**(-3845\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/z**(1\/4)*z\/(z**(-2\/5)\/z)*((z\/z**(2\/13))\/z*z*z)\/z*z**(-1\/3) assuming z is positive.\nAnswer: z**(2857\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of -11*z**4\/2 - 10*z**3\/3 + 117*z**2\/2 + 447. Find the second derivative of r(b) wrt b.\nAnswer: -132*b - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-2\/13))\/(l*l\/((l\/(l\/(l\/l**(-13)))*l)\/l)*l))**(-3\/23) assuming l is positive.\nAnswer: l**(-462\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 10*i**4\/3 + 8*i**3\/3 - 1600*i**2\/3 - 6176*i\/3 - 2016 = 0.\nAnswer: -54\/5, -2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -46182*k**3*x**3 - k**2*x**3 + k*x**2 - 631*x wrt k?\nAnswer: -277092*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1174?\nAnswer: 2, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a - 1. Let c = 2 - 3. Let y(f) = -8*f - 6. Let b(s) = c*y(s) + 6*l(s). Suppose 26*w - 16 + 42 = 0. Calculate b(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 48 = -r + 30, -h + 5 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 1374814?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -460 + 835. Suppose 2*m = -3*t + 447 + o, -2*m = -4*t + 1082. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5 - (-3 - 1))\/(-7 + 0). Put -0.1, -1\/5, p, -2\/5 in decreasing order.\nAnswer: p, -0.1, -1\/5, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215709829 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15005061 and 594.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 8*f. Let v(s) be the third derivative of 9*s**5\/4 - 9*s**2 - 8. Determine y(v(u)).\nAnswer: 1080*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11069 is divided by 221.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 - w + 2. Let t be o(3). Suppose 0 = -3*d - 1 + 7. Suppose 4*q - 74 = -2*v, d*q + 3*v - 31 = q. What is the greatest common factor of t and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 22*n - 77. List the prime factors of t(26).\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1946.02245 + 1946. Round q to three dps.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1667565 divided by 5\nAnswer: -333513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 279*u - 585*u + 280*u. Let s(y) = -15*y. Calculate s(j(r)).\nAnswer: 390*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 38\/265 + 332\/16165. Let q = 1829\/366 - c. Which is greater: 5 or q?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3302, 3301, 3300, 3299, 3298?\n\"Answer: -v + 3303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12571701685 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.8 + 19.2. Let u = -23.9314915 - 3.0685065. Let f = u + r. What is f rounded to seven dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8816 divided by -152.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -50511, -98500, -146489, -194478, -242467, -290456?\n\"Answer: -47989*y - 2522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -38453*b + 47. Let a(h) = -5*h. What is a(f(i))?\nAnswer: 192265*i - 235","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 3\/5, -1\/7, 35\/2, 2\/9?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 + 8. Calculate the highest common divisor of y and 100.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 81*l - 86*l. Let -2*g**3 - 10*g**2 - 6*g + g**l + g**2 + 16*g**3 = 0. Calculate g.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(52)\/sqrt(4) + sqrt(130)\/sqrt(640) - (-1 + sqrt(468) + -4 - (sqrt(468)*-2 + -5)))*-5)**2.\nAnswer: -3375*sqrt(13)\/4 + 5924725\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1756 a multiple of 166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 + 3*q + 2. Let o = 0 + 2. Suppose o*y = 6*y + 28. Let n be 2\/8 + 21\/(-4). Let k(s) = -s**2 - 4*s - 3. Determine n*k(l) + y*h(l).\nAnswer: -2*l**2 - l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -249*y**3 - 7*y**2 + 9*y + 7. Let t be k(9). Round t to the nearest 10000.\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -14*2\/(-4) - 0?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-210)\/49)\/((-6)\/28). Is y smaller than 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/(-2))\/(-2)*1917\/1704?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 3*w = -78, 5*w + 81 = 4*t - 22. Let a = 191 + t. Does 30 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 190211 a multiple of 203?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 354093108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y - 32 = -b - 5, -2*y = -10 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 3*n - 33. Let f(l) be the first derivative of l**2\/2 - 8*l - 10. 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: Let y(k) = -2*k**2 + 3*k + 4. Let g(m) = m**3 - 10*m**2 + 8*m + 15. Let i(u) = -g(u) + 4*y(u). Let p(o) = o**3 - 4*o**2 - 7*o - 2. Determine -7*i(s) - 4*p(s).\nAnswer: 3*s**3 + 2*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 9:55 AM?\nAnswer: 11:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - (3 + -2)*-3. Let a(r) = -707 + 11*r + 708 - 10*r. Give a(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -fa7 (base 16) in base 10?\nAnswer: -4007","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.7224? (a) 3 (b) 4 (c) 31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/20 - (-33)\/15. Let l(t) = -2*t + 5*t - n*t. Let s = -2 + 0. What is l(s)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 432*n**3 + 178*n + 174. Calculate c(-1).\nAnswer: -436","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 4:10 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.09145 + -0.00855. Which is the closest to r? (a) 0.8 (b) 1 (c) -1.34 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = 2*g - 72. Suppose 0 = 2*v - 3*v + g. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4008 - -4011. What is the closest to 0.1 in n, -6\/7, 61, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -37.731235 to two decimal places.\nAnswer: -37.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8 + -1d1b51?\nAnswer: -1d1b59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = u - 42. Solve 0 = -5*j - 3 + u for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2599 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 468151, 468166, 468181, 468196, 468211, 468226?\nAnswer: 468241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/((2 - 1)*(3 - 2)). Put -5, -3, o in ascending order.\nAnswer: -5, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of -2*d**2 - 1. Let m = -55 - -59. Let j(v) = -m*v + 4*v - 2*v**2 + 4*v**2. Determine f(j(i)).\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 7, l: 2, v: 5}. What is prob of sequence vllv?\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (82*m + 15*m - 3*m)*(5 - m - 5) - m**2 + 0*m**2 - m**2 - 3*m**2 - 3*m**2 + 5*m**2 as w*m + b + v*m**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25.07 - -25.170032. Let b = 1 - 1.1. Let v = b + k. Round v to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/7 (b) 2\/13 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -24921? (a) -5 (b) 3 (c) 0.27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21201041 + -1?\nAnswer: -21201042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3*k + 2*k**2 + 0*k - 3*k. Let n = -55 - -85. Let r(q) = n*q + 2*q - 15*q. What is l(r(h))?\nAnswer: 578*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of -u**3\/6 + u**2 + 2*u. What are the prime factors of o(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 12, 5, 4, 264645?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-2 + 9 - 1) - 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 5:55 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 606 - 136. Let h = -219 + b. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -74\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51 - (84 - (53 - 13))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1034.5*0.4.\nAnswer: 413.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 485622 a multiple of 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2 + 45238*r - 27719904.\nAnswer: 2*(r - 597)*(r + 23216)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1521 rounded to two dps?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + -2e9?\nAnswer: -2e7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16550 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/2 (b) -2 (c) 0 (d) -1412\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 11160 divided by -6\nAnswer: -1860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x + 5. What is the units digit of v(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*g**3*j - 21*g**3*v + 2*g**3 + 2*g**2*j**2*v + 3*j**2*v + 2*v wrt j.\nAnswer: -2*g**3 + 4*g**2*j*v + 6*j*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*i**3 + 5*i**3 + 8*i**3)*(3 - 2 + 3 + 1 + 3 - 2 + (3 - 2 - 3)*(-3 - 3 + 5) + 2 - 5 + 4) to the form l*i**3 + d + k*i**2 + u*i and give l.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/9)\/(54\/405).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 429287 is divided by 2717?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.09, -29\/4, -2\/15, -3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or 1596\/397?\nAnswer: 1596\/397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-56)\/6)\/((-2)\/3). Solve -2*y = 4, 4*w - 3*y + 2*y = -p for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 238728\/6090*(47\/28 - (-17)\/(-68))\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -422*a + 169*a - 1265 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 11*t - 1. Calculate k(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -91.2 - -149.9. Let t = y + -59. Put t, -3, 2\/19 in decreasing order.\nAnswer: 2\/19, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 277*b + 131 - 131.\nAnswer: 277*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q**2. Suppose o + 15 = -5*d, 2*d = o - 2*d - 30. Let r(l) = o*l - l**2 - 10*l. Calculate r(m(v)).\nAnswer: -4*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 13425112?\nAnswer: -13425117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h**3 + h**2 + h. Let m(s) = -s**3 + 5*s**2 - 2*s - 7. Let p be m(4). Let a be q(p). Solve 24 = -a*n + 3*z + 10, 2*n + 5 = z for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32 by 12.\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001035987 rounded to seven decimal places?\nAnswer: 0.0000104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/(-2))\/(5\/220). Suppose -3*x + 54 - p = -3*z, 5*z - 23 = 2*x. Solve y + 0*y = 2*m - 6, z*m = -4*y + 28 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-1 + 3\/2). Solve -3*h - 1 = -r*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-110)\/(-12) + (-321104)\/4512\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 3*y**3\/8 - 897*y**2\/8 - 42447*y\/2 + 85785\/2 = 0.\nAnswer: -133, 2, 430","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4\/9 - 2200*n**3\/9 + 30652*n**2\/9 - 34976*n\/3.\nAnswer: n*(n - 2186)*(n - 8)*(n - 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = w + 2. Let y be w\/(-8) + 12954\/24. Let c = 179 + -130. What is the greatest common factor of c and y?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, -17, -14, 1 in decreasing order.\nAnswer: 4, 1, -5, -14, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*o + 4378 = 108. Is 61 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-five halves of a tonne?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**3)**(1\/16)*(o\/(o*o**(-1\/2)\/o))**12 assuming o is positive.\nAnswer: o**(291\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 - (-47 - -19) - 19.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 6*l + 20. Calculate the lowest common multiple of 16 and l.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -9 and 61397?\nAnswer: 61406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(117))*5)**2 + -5.\nAnswer: -150*sqrt(13) + 2945","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*u - u = 115 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 232790 + -158509. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 501 in increasing order.\nAnswer: 1, 2, 501","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of -z**2\/2 + 8. Let k be v(1). Round k to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 5, 10.18, 2\/147?\nAnswer: 2\/147","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*((t\/t**(-5\/4)*t)\/t)\/t)**(-4\/25)*t**(-39)\/t**34)**(23\/2) assuming t is positive.\nAnswer: t**(-21091\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(1300)*2.\nAnswer: 40*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -207\/119 + 13\/7. Sort -2\/3, 5, t in descending order.\nAnswer: 5, t, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5100 and 7300?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -44 + 9.7.\nAnswer: -34.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1651?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 (base 6) in base 3?\nAnswer: 12002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -3854423 greater than -3854424?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 465 - -4?\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or -15625.4746?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 108.5870961 milliseconds?\nAnswer: 0.00000017954215625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 - 2*x - 3. Suppose 0 = 4*n - 2 - 14. Let z be q(n). Suppose 5*m + v = 160 - 34, z*v = -4*m + 105. What is the remainder when m is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 3 (c) -5 (d) -0.3 (e) -3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 s, and 1 e when three letters picked without replacement from {e: 1, v: 6, i: 1, x: 8, s: 2}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b + 1. Let c be l(-11). Let r = c - 3. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 932.\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4404, 4073, 3742, 3411, 3080, 2749?\n\"Answer: -331*y + 4735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -83 times -8?\nAnswer: 664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 488252483 to the power of 1\/6, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 1286*w**2 - 11666*w + 14. Determine k(9).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -6, 2*g - 3*x + 2*x - 19 = 0. What is the greatest common factor of 88 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (73 + 0 - 54) + (-16 - 2) + -42\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1125\/658 + 3\/658. Solve -1\/7*k**5 - 6\/7*k**4 - 13\/7*k**3 + 0 - 4\/7*k - q*k**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2144845, 2144841, 2144837?\n\"Answer: -4*i + 2144849","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 281060 and 455.\nAnswer: 1967420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 5*p - 5. What is m(-3)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, g: 1, o: 2, z: 1}. Give prob of picking 1 a and 1 o.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -22011023 (base 4) to base 9\nAnswer: -62568","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -0.1304\nAnswer: 0.1304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is fa36 (base 16) in base 15?\nAnswer: 13ea4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000019711 to 6 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-3 + -4 - -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 91\/(-52)*88\/(-77)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 + 3*v**2 - v - 111. Let d be k(0). Let l = 123 + d. Suppose -30*a - l = -33*a. Solve -3*x - 2*y + 15 = -8*x, 0 = 2*x + a*y + 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-145)\/15)\/(2796\/(-558) - -5)?\nAnswer: 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2.595, 77 in increasing order.\nAnswer: -2.595, 2, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 254645368 is divided by 463.\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 9670, 19545, 29420, 39295, 49170?\n\"Answer: 9875*j - 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2441 + 12204\/5. Which is the closest to 3? (a) 1\/5 (b) 1\/2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 446394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 3 + 2)*(5*p + 4*p - 2*p + (p - 4*p + 2*p)*(-4 + 1 + 1) + 4*p - 6*p + 0*p) in the form r*p + u and give r.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*u - 41383 = -64*u. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 218, 896, 2024, 3602, 5630, 8108, 11036?\n\"Answer: 225*s**2 + 3*s - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -3*i - 12. Let o(x) = x + 1. Suppose -9 = 12*n - 15*n, 4*j + 5*n + 5 = 0. What is j*o(f) - w(f)?\nAnswer: -2*f + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -5*y - 6. Suppose 4*h - 26 = -46. Let l be j(h). Determine g so that -32*g - 4 + l*g**2 - 2 + 22 - 4*g**3 + g**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**4 + 10*b**3 - 2*b**2 - 10*b.\nAnswer: 2*b*(b - 1)*(b + 1)*(b + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/5)\/h)**(1\/41)\/(h**(-1\/6)\/(h*h**2\/h)) assuming h is positive.\nAnswer: h**(2647\/1230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-178458)\/41496 + (-1)\/(-13). Let a = 4008\/7543 + -2\/397. Let y = a - m. What is the common denominator of y and 91\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 + 3*u + 1. Calculate w(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l**5 - 2*l**5 + 3*l**5 + (2*l**3 + l - l)*(5*l**2 - 5*l**2 + 2*l**2) - l**5 - 3 + 3.\nAnswer: l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.292491741 and -1?\nAnswer: 1.292491741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 21433456 * -4\nAnswer: -85733824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 376914230 to the power of 1\/3, to the nearest integer?\nAnswer: 722","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74, 73, 72, 71, 70?\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 227\/7 + -33. Is -2 >= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 25*c**2 + 1. Suppose -3*m - 3*m - 6 = 0. Let v be t(m). Let o = v + -22. Solve o*r + 2*w = 10, 2*r - 5*w - 8 = -3*w for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21948, 21956, 21976, 22008, 22052, 22108?\nAnswer: 22176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 1. Suppose -2*k + 15 = k. Let y(h) be the first derivative of 0 + 1 + h**2 + h - 2*h**2 - k*h. What is -3*w(a) - y(a)?\nAnswer: 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 84451 - 2955494\/35. Let c = -54\/7 + f. Let y be -8*(-22)\/(-968)*33\/6. What is the nearest to 0 in y, -0.09, c?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 b when two letters picked without replacement from bblbbllv.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 60919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 40026215003 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(4 + (-5 + sqrt(200)*2 + 2 + -5*(-1 + sqrt(200)) + 0)**2).\nAnswer: -720*sqrt(2) + 10848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (6 - 7 - (0 - 1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 363 and 31395771?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 11) to base 15\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -6*n**2 - 7*n - 3. Let i(z) = 13*z**2 + 15*z + 7. Let d(x) = 4*i(x) + 9*r(x). Let u = 4 - 10. Let s be -1*(-3 - u) + 5. Determine d(s).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (87 + (-18511)\/214)\/(2 + (-40)\/18)\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 181206 = -5*w + 2*l, 3*w + 271806 = 2*l. What is w rounded to the nearest 1000?\nAnswer: -91000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 10 - (3 + 10 + -18) - -34 - 5?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(7) + 1 + sqrt(7))*2)**2 + -2*(sqrt(7) - sqrt(7)*2*-6).\nAnswer: 6*sqrt(7) + 452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1105 or -1?\nAnswer: 1105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(57)\/sqrt(12) - ((3*sqrt(190))\/sqrt(10))**2 - 4*(sqrt(684) + -2 + sqrt(684))*2).\nAnswer: -191*sqrt(19)\/2 - 158","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, x: 6}. What is prob of picking 2 x and 2 z?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 279497*b**3 - 5*b**2 + 7090856*b.\nAnswer: 1676982*b - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - y - 18 = 0, 17*y - 21*y - 12 = 5*o. What is the remainder when -1 + o - (-45 + 16) is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -165322 by -631.\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, d: 5, k: 1, r: 1, v: 3, w: 1}. What is prob of sequence vkq?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -677 + 679.53. Let s = d - -0.47. Put 5, -0.035, -0.4, s in descending order.\nAnswer: 5, s, -0.035, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + w = 2016. Let i = w - -1022. Suppose -5*t = -i - 8657. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 843.958 rounded to 1 decimal place?\nAnswer: 844","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a46 + -2?\nAnswer: a44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -7*k + k - 5 + 5*k. Let u be g(-11). Suppose -220 = -t + u*t. Round t to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*b + 57*b = -2*f + 36, -24 = -2*b - 4*f for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11535318*a**2 - 12154336 with respect to a.\nAnswer: 23070636*a","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Is -7 + 128135 + 12 + -12 + -1*2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2418616536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 7 - 3)*(4*f + 2*f - 5*f)*(-1 + 1 - 2*f**3).\nAnswer: 10*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 - 48 = -3*c. Suppose 2*q - 3*w + 3 = 0, 5 = 2*q + 5*w - c. Calculate the remainder when ((-6)\/(-4))\/(9\/60) is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 7143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 33 + -15 + 8 + 0 + 354 + -372\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*j**3 - 10*j**3 - 1 + 8*j**3 in the form x*j**3 + y + a*j**2 + o*j and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8237 - -67?\nAnswer: -8180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + -2 - (0 - -1). Sort 1, -9, a.\nAnswer: -9, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of -71\/3*l**3 + 0*l**4 + 0*l**6 - 17\/35*l**7 + 26*l**2 + 0*l + 0*l**5 + 0. Differentiate d(f) with respect to f.\nAnswer: -408*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.5783445 + 271.5669945. Let w = 271 - i. What is w rounded to three decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2912138?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 200 = -4*x + 3*w, -3*x + w = -140. Calculate the smallest common multiple of 18 and x.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 10 + 4*h**2 - 5*h**3 + 0*h + 4*h**3 - 4*h. Let q be u(4). List the prime factors of (-298)\/q - (-6)\/18.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 29*m**2 + m - 9. Let x(j) = 115*j**2 + 5*j - 35. Let u(y) = -15*w(y) + 4*x(y). Is u(-3) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 + (-2)\/(-1))\/((-5)\/(-105)*-6)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -459\/20 + 39\/2. Find the common denominator of r and 101\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9557496 divided by -12?\nAnswer: 796458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48, -108, -166, -222, -276?\nAnswer: -328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4457\/123080 + 1\/1810. What is the common denominator of 111\/884 and w?\nAnswer: 1768","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -2*s - 5*p, 6 = -8*s + 3*s + 2*p. Let r(h) = -18*h + 1. What is the remainder when r(s) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -86\/95 + 2\/19. Suppose -2*o + o = -3. Suppose -o*g - 2*t + 25 = -0*g, 5 = -g + 2*t. Which is the nearest to 0.1? (a) g (b) 0.5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.401 - -0.121. What is m rounded to 1 decimal place?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1605606 is divided by 479?\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of 10*r**6\/3 - 112*r**5\/5 + 45*r**4 - 24*r**3 - 176. Determine w, given that p(w) = 0.\nAnswer: 0, 3\/5, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1411, 2908, 4405, 5902, 7399?\n\"Answer: 1497*f - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 + 4*y - 2. Let v be s(-5). Suppose k = 2*k + v. Which is the second smallest value? (a) 1\/4 (b) k (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 202, -2539, -9970, -24437, -48286?\n\"Answer: -391*m**3 + m**2 - 7*m + 599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -49439854*l + 61357880?\nAnswer: -49439854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 10:08 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -57 - -99. Let t(c) = -216*c**2 - 5196*c - 8. Let j be t(-24). What is the greatest common factor of r and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 1909309890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 2*d - 14060, -27*n + 31*n - 2*d - 18784 = 0. Calculate the lowest common multiple of n and 30.\nAnswer: 23460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - 4 - (-1)\/(-5)*(-675)\/108. What is the closest to t in 1, 9\/7, -5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 3*w**2 - 3*w + 28. Let f(m) = m**3 - 4*m**2 - 4*m + 27. Let c(l) = -2*f(l) + 3*n(l). Is 7 a factor of c(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6*(5\/(5\/(-3)) + 4). Let k(o) = -5*o**2 + 18*o + 2. Let q(u) = -6*u**2 + 20*u + 3. Let w(y) = c*q(y) + 7*k(y). Determine w(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 882617 is divided by 967?\nAnswer: 713","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -4\/9, 141, 0.07, 4\/101, -0.3?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84072?\nAnswer: 2, 3, 31, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15205.\nAnswer: 5, 3041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15.81 - 16. Let j = o - 0.31. Put -0.1, j, 5 in decreasing order.\nAnswer: 5, -0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3366000 rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 115337 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**3 + 4*c**3 - 4*c**3)*(-c**2 + 2*c**2 + c**2) + 2*c**5 + c**5 - 7*c**5 - c**5 - 4*c**5 + 3*c**5.\nAnswer: -8*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*a**5 - 69293094*a**3 + 10*a**2 - 4129*a - 85?\nAnswer: -120*a**2 - 415758564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3301 (base 4) to base 3\nAnswer: 22221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y + 1. Let c(r) = r + 7. Let i(w) = 27*w**2 - 5*w - 35. Let x(o) = -5*c(o) - i(o). What is x(h(z))?\nAnswer: -108*z**2 - 108*z - 27","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 10. Suppose 864 = g*o - o - 2*n, 5*o = 2*n + 1079. Let f = o + 84. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.07 + 0.57. Let a = -2\/189 - -65\/189. What is the nearest to -1 in c, -5, 0.1, a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7697\/216704 + -6\/1693. Calculate the common denominator of m and 23\/1168.\nAnswer: 9344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q**2 + 9*q - 2. Let d be a(-6). Suppose 0 = -j - 3*j + d. Suppose 4*l - 4580 = 2*c, -3*c - 4580 = -j*l - 2*c. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 208 and 406744?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k**3 + 36*k**2 + 124*k + 61. Let g be m(21). Solve -4*j - 5*v = -g, 18*v + 3 = 19*v for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 1:41 AM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7097018.\nAnswer: 2, 23, 41, 53, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.267, 0.2, -5\/6 in descending order.\nAnswer: 0.2, -0.267, -5\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -72, -108, -120, -66, 96, 408, 912, 1650?\n\"Answer: 7*u**3 - 30*u**2 + 5*u - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28018 to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28 - -30. Suppose f = h - j, 5*f - 7 = -5*h + 23. Suppose -f*r = 3*r + 25, k + 3*r = -8. What is the highest common factor of 49 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 3*y**3 + 7. Suppose -33*w + 10 = -38*w. Let a(i) = -10*i**3 - 21. Let d(u) = w*a(u) - 7*l(u). What is the derivative of d(n) wrt n?\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a + 1. Let d be i(1). Suppose 2*b + 0*b - 42 = d. What is the highest common divisor of 3 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -62934c (base 16) to base 14\nAnswer: -c02456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - 4*v**2 + 1. Suppose 3 = 3*j - 4*m, -10*j + m + 9 = -12*j. Determine s(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of -t**3 + 5 - 3*t + 7\/2*t**2 + 1\/2*t**4. Let u be l(3). Is u < 46?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 14317*n + 4769. Is r(26) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.711975 micrometers in meters?\nAnswer: 0.000000711975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 366216610*q**4*x - q**2*x - 909*q*x + 2*q + 107*x + 3 wrt q.\nAnswer: 8789198640*q*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d4696 - 2?\nAnswer: -d4698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7851 + 26523 = 1175*i - 15403 for i.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*t - 4918 + 48999 + 19762 = 0. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -1 (c) 0.5 (d) 3\/5 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 2:54 PM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**0)**(-19))**17\/((w**1)**(-9\/2)\/(w**(1\/3))**34) assuming w is positive.\nAnswer: w**(95\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*t + 10 + 3 - 7)*(45*t + 704 - 704 - 2*t**2) + (-8 + 4*t**2 + 8)*(-2*t + 2*t - t) in the form y*t**3 + o*t + m + l*t**2 and give l.\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 276800, 43, 0.\nAnswer: -1, 0, 43, 276800","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of -k**5\/60 - k**4\/24 + 21*k**2\/2 - 12*k. Let i(n) be the first derivative of w(n). Calculate i(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 96*o**3 - 16*o**2 - 10*o + 32. What is the tens digit of q(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 235\/514 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + f - 3*l + 32 = 0, -5*f + 3*l - 2944 + 2882 = 0 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2206?\nAnswer: 2, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 4. Suppose 3*c + 2*c = t*g + 215, -c + 46 = -4*g. Suppose -n + 16 = -2*k, -4*n + 3*k - 6*k + c = 0. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -21 - 21*p + 0*p**2 + 6*p**2 + 17*p**2 - 2*p**2 - 9*p**3. Let m(r) = r**3 - 2*r**2 + 2*r + 2. Give 21*m(d) + 2*u(d).\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -5. Let g = -7 - -11. Sort g, y, -5 in ascending order.\nAnswer: -5, y, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 + 6*k**2 + 2*k - 5 + 2*k - 5*k + 2. Let x be a(-6). Factor -3*q**4 - 2*q**4 + 5*q**2 + 6*q**4 + 4*q**x - 2*q + 4*q.\nAnswer: q*(q + 1)**2*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -9\/17269?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5248 - -5374. Solve -4*a - 17*a - n = 0 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 357625873 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(243))**2 + 2 - ((-1*(sqrt(3) + sqrt(48)))**2 + (sqrt(3) + -1)**2*5)) + 1.\nAnswer: -8*sqrt(3) + 152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(51)\/((sqrt(108) - (sqrt(108) + sqrt(108)*1 + sqrt(108))) + sqrt(108) - sqrt(108)).\nAnswer: -sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -3. Let p(x) = 3 - 7 + 2*x + 0*x. Let r be p(4). Solve y*k - r = 0, -l - k - 7 = -2*k for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 997095.\nAnswer: 3, 5, 11, 6043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.013 (b) 13 (c) 2\/19 (d) -1\/3 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 1, -2, -5, 2\/137, 2?\nAnswer: 2\/137","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 620 + 1?\nAnswer: 621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 54068629 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + d = -38, -2*d = -2*t + 2*d + 8. Calculate the highest common factor of t and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h - 15*h + 462 = 0. Suppose d - h = -6*d. Let a = -25 - -38. Calculate the remainder when d is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2\/5, 5, 931, 2\/31, -0.3, 0.3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-129)\/18 - (-1)\/6. Let g = h - -13. Solve 3*o - 4*k - g = -2*k, 12 = -3*o - 4*k for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 5904706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1574\/3179 - -38\/289. What is the common denominator of -29\/280 and d?\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 874529865?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 27 (b) 0.08 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 38.788 and 3.\nAnswer: 116.364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 - k**2 - 1. Let v(h) = -2*h**3 + 15*h**2 + 8. Let l(m) = 3*s(m) + v(m). Give l(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b**2 + 36*b + 4. Determine n(-18).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 - -29. Let v(b) = -17*b - 3. Let q be v(-6). Calculate the greatest common factor of d and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 PM and 10:14 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 925176947?\nAnswer: 925176947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -4*n**3 + 42*n**2 - 95*n + 75. Let b(u) = 15*u**3 - 163*u**2 + 380*u - 298. Let x(l) = 6*b(l) + 22*s(l). Suppose x(g) = 0. What is g?\nAnswer: 1, 3, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 787.7456l to millilitres.\nAnswer: 787745.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 1, -5, -1615, 5 in decreasing order.\nAnswer: 7, 5, 1, -5, -1615","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42, 81, 120, 159?\nAnswer: 198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -17 - ((-25 - -8) + 4 + -22)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 42\/(-9) + 2 - 0. Let m = 21088 + -632723\/30. Let o = m - u. Which is the second smallest value? (a) 3 (b) -0.4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + 170\/165)\/((-2)\/12). Let y be (2\/(-2))\/((-14)\/5). Let i = y + 8\/7. Which is the third smallest value? (a) i (b) u (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2758141 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 + 9*k + 3. Let l be s(-4). Let m be l\/68 + (-1137)\/(-4). Suppose 2*d + 114 = 2*q, m = 6*q - q - 4*d. Is 14 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34 and 44075662.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -3*t. Let f be j(-2). Suppose -f*v + v - 85 = 0. Let y = 13 + v. Which is the second biggest value? (a) -1 (b) 1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 1 + 29 = 0. Solve -j = 2*j - 5*q + c, 9 = -4*j - 3*q for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.23 + 0.77. Let g be (-5)\/10*4\/(-9). Let i = 0.3 + -0.1. Which is the closest to d? (a) g (b) i (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of n**5\/5 - 7*n**4\/3 + 28*n**3\/3 - 16*n**2 - 181*n. Factor t(q).\nAnswer: 4*(q - 4)*(q - 2)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 29*m**2 + 265*m - 749. What is j(8)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of 33*a**4\/4 - a**3\/3 + a**2 + 100. Does 22 divide z(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1d81 - -16?\nAnswer: 1d97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 22, -4, 4.\nAnswer: -4, -2, 1, 4, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4815.177l to millilitres.\nAnswer: 4815177","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1011111 (base 2) to base 16\nAnswer: -5f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13134?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 77 + -28. Let b = n - 33. Find the common denominator of -85\/22 and (94\/(-6))\/(b\/6).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -74 + 77. Suppose -115 = -7*z - o. Let l(k) = -2*k**3 - 4*k**2 - 3*k. What is the remainder when z is divided by l(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -5) + -70*1\/22.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o = -1749 + 6195. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 3) to base 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29391.\nAnswer: 3, 97, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 - 2*c + 8. Let q be d(-9). Let k = q + -121. Suppose 24 = -4*r - 28. Is r at least k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 64 in 11, 2, 1\/26, -1?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -318*g - 42444 = -249*g + 2289*g for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.0007736ns to minutes.\nAnswer: 0.00000000001667956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 16) to base 14\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7386435 a multiple of 131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of -19*q**5\/20 - 7*q**4\/12 - 95*q**3\/2 + 2*q + 79. Find the second derivative of i(t) wrt t.\nAnswer: -114*t - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 18*p = s - 0*s - 17*p, s - 4*p - 272 = -259 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 272.568 milliseconds to seconds.\nAnswer: 0.272568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 2833022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 166393853 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2605*k**3 + 5*k**2 - 5*k + 3. Let m(u) = -2652*u**3 - 6*u**2 + 6*u - 3. Calculate -6*c(q) - 5*m(q).\nAnswer: -2370*q**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 132015263 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 386269993 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 5373915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 5*k - 89, 0*l - 59 = -3*k + 5*l. Let j(n) = 48*n. Let h be j(1). Suppose -2*q + h = q. What is the lowest common multiple of q and k?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 5.348164 years?\nAnswer: 0.5348164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 934 - (4\/46 - 128\/1472). Which is bigger: a or 2801\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12*11\/(-198))\/((-17)\/(8568\/16)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 6 = -3*i, -2*i - 14 = -12*r + 10*r for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c**2 - 192*c - c**2 - 309*c - 545*c as d*c**2 + r + b*c and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.18358 to three dps.\nAnswer: -0.184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 423\/12 - (54\/24 - 2).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 3. Suppose 0 = h*g - 4*g. Let k = -88\/3 + 29. Which is the third biggest value? (a) -5 (b) k (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/6 + 10 + 1. Find the third derivative of 0*j**2 + 3*j**2 + j**4 + 0*j**2 - i*j**4 wrt j.\nAnswer: -240*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*x = -738718 - 81143. What is the ten thousands digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 166042294?\nAnswer: 166042294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50, -180, -314, -452, -594, -740, -890?\nAnswer: -1044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 32 = 5*w, -2*w + 135 = 2*h + 47. What are the prime factors of h\/5 - 21\/(-35)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4060\/657 - -78\/73. What is the common denominator of m and 37\/10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 20 = 6*w + 2*o, -3*w = o - 20. Suppose 2*i - 8 = 3*i + 2*x, -4*i = x - 3. Let h be i\/(10\/4*(-16)\/(-60)). Solve h - w = j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 257 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 2*s - 18, -4*q + 2*s = 3*s - 86. Solve 0 = o - q + 19 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -48421 (c) 4\/7 (d) 7 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 - ((3 - -2) + 9).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 10:01 PM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0*(-4 - 42\/(-12)). Suppose 4*n + 5*h - 2282 = p, n - 6*h - 566 = -5*h. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -2*i**4\/17 + 590*i**3\/17 - 32760*i**2\/17 - 176360*i\/17 - 143008\/17 = 0.\nAnswer: -4, -1, 82, 218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*0.2519.\nAnswer: -0.10076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 take away 25.1581602214?\nAnswer: -25.6581602214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 3. Let f(h) be the third derivative of -h**5\/60 + h**3\/6 + 4401*h**2. What is f(y)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 237*a**5 - 4803*a**4 - a**3 + 5448202*a**2 wrt a.\nAnswer: 14220*a**2 - 115272*a - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 r, and 2 q when four letters picked without replacement from {q: 7, d: 2, t: 1, r: 4, m: 3, j: 1}?\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -4*n**2 - 6*n + 1 + 12*n - 12*n - 2*n**2 + 5*n**2. Let f be q(-4). Solve -6*z - f = -21 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w + 9. Let y be n(-6). Suppose -5*b + y = -0*b. Suppose z - 2 = -1, 2*m + 1 = -b*z. Put 1\/5, 1, m in decreasing order.\nAnswer: 1, 1\/5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of -j**8\/2800 + j**7\/1680 + j**6\/3600 + 18*j**3 - 17*j. Let d(y) be the second derivative of u(y). Factor d(s).\nAnswer: -s**2*(s - 1)*(6*s + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-o**3 + 3*o**3 - o**3)*(86*o - 2 + 3 - 88*o)*(-1 + 0 + 2) to g*o**2 + t*o**4 + p*o + l + s*o**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 11. Let h = -2 - -4. Let f = 2 - 4. Which is the third smallest value? (a) f (b) h (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1281584, 1281582, 1281578, 1281572, 1281564?\n\"Answer: -h**2 + h + 1281584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, y: 1, v: 5, c: 5, z: 1, x: 1}. What is prob of sequence ycz?\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*y = -271*y + 241984. What is the remainder when y is divided by 39?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 2) + (-3 + 7 - 1)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v**(-2\/129)\/v*v)\/(v*v**(-29\/3)*v*v) assuming v is positive.\nAnswer: v**(372\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 699520 rounded to the nearest 10000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 4*h**2 - 696*h + 14900 = 0.\nAnswer: 25, 149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yvizvwvizzvvzzzk. Give prob of picking 2 z and 1 y.\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 21 + (-1 - -1). Suppose 0*u + 2*u = w. Suppose -62 + 818 = 126*g. What is the smallest common multiple of g and u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 210 and 35?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1100) - (2 + (sqrt(1100) + -1 - sqrt(1100)))) + 3 + sqrt(1100) + sqrt(1100)*1)**2 - (0 + ((sqrt(539) + 0)*-5)**2).\nAnswer: -3571 + 120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a3ce3 (base 15) to base 14.\nAnswer: 3b0a22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of -t**9\/1512 - t**8\/840 + t**7\/420 + t**6\/180 + t**3 + 2. Let f(x) be the third derivative of w(x). Factor f(s).\nAnswer: -2*s**2*(s - 1)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010110101 + 1000101?\nAnswer: 10011111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + y + 50 = 0. Suppose -5*p = y - 105. Let g = p - 8. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9329 (base 10) to base 15.\nAnswer: -2b6e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*t**2 - 1 - 16*t**2 + 20*t + 3*t**3 + 6*t**2 to z*t**2 + p*t**3 + x + d*t and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1022 (base 7) to base 10\nAnswer: -359","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 21 (b) 1 (c) 0 (d) -55\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 10 + 3. List the prime factors of x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**34*r*r**(-1\/39)\/r assuming r is positive.\nAnswer: r**(1325\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/100*4\/(-46). Let w = -367\/230 + j. Let k = -23 - -21. Is w smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -304122502 (base 6) to base 7.\nAnswer: -62336426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*b**2 + 22755*b + 41065 wrt b?\nAnswer: -6*b + 22755","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3250 + 5?\nAnswer: 3255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 1) + -2 + 32 + -36 + 59.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*x - 15 + 91*x + 4.\nAnswer: 55*x - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1567 + 1566. Let z = 8\/9 + 23\/45. Which is the fourth biggest value? (a) x (b) 4 (c) z (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 41881110?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 60393000 divided by -7549125?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 23*r**2 + 93*r - 17. What is i(-4)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1053 and 90792?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**3 + 11446*p**2 - 22856*p**2 + 11410*p**2.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/11)*n\/(n\/(n\/(n*n**5))))\/((n*(n\/((n\/(n\/(n*n**13\/n)))\/n))\/n)\/n**(-3)) assuming n is positive.\nAnswer: n**(34\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -415\/4 + 104. Which is the second biggest value? (a) 0.4 (b) d (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -497228 (base 10) to base 3.\nAnswer: -221021001212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 10:43 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -47476 divided by -4316\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -7*((-210)\/(-49))\/5\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(((-2)\/42)\/(36\/(-126)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (84\/(-189)*3\/(-2))\/((-4)\/66)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2 (b) 0.28 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**7*j\/(j*j**(-4\/9)*j) assuming j is positive.\nAnswer: j**(58\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s + 2*s + 2*s**2 + (4 - 4 - 5*s)*(-316*s + 51*s + 96*s).\nAnswer: 847*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + -1 - (17 + -15)) + 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 - x - 1. Let w(r) = 3*r**2 - 4*r. Let h(a) = a**3 - 3*a**2 + a + 2. Let s be h(2). Suppose s*q + q + 2 = 0. Calculate q*k(z) + w(z).\nAnswer: z**2 - 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 779319 to the nearest integer?\nAnswer: 883","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4508 - 4506. Let l = -6 - -11. Put 3\/2, 0.2, l, y in ascending order.\nAnswer: 0.2, 3\/2, y, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -13*a**3 - 25*a**2 - 12*a + 12. Let q(f) = -3*f**3 - 6*f**2 - 3*f + 3. Let x be 27\/(-9)*(-4)\/(-6). Let b(r) = x*n(r) + 9*q(r). What is b(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 731551 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of -9*p + 221 + 39 + 2*p**3 - 42*p - 17*p**2 + 67 + 5*p**2. Find the first derivative of f(y) wrt y.\nAnswer: 12*y - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by (4\/(-6))\/(6 + 436\/(-72))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2, -6, 0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*k = 23*k + 105 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4663704 divided by -1\nAnswer: -4663704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 19995*(14 - 12 - (-1 + 542\/(-6))). What is c rounded to the nearest 100000?\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*c**2*j*z - 2*c**2*z**2 + 16*c*z**4 + 2*j**3*z**2 + 3*j**3*z wrt z?\nAnswer: -4*c**2 + 192*c*z**2 + 4*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154 is divided by 47?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 764472.8 millilitres to litres.\nAnswer: 764.4728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in -0.1, 5\/341, 809?\nAnswer: 5\/341","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 11:36 AM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -680730095*j**2 - 919867984*j.\nAnswer: -1361460190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10 is divided by (-1 + 3\/4)\/(2\/(-56)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 931640033 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15895620611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, o: 5, p: 7}. Give prob of sequence ppoy.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2179973?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 14872, -44, -1, -4 in decreasing order.\nAnswer: 14872, -1, -3, -4, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, t: 6, d: 3}. What is prob of sequence dsds?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1731 divided by 1?\nAnswer: -1731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 130174, 260355, 390544, 520747, 650970, 781219, 911500, 1041819?\nAnswer: 1172182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171) + sqrt(171) + -2 + -5 - (sqrt(38)\/((sqrt(28)\/sqrt(7))\/sqrt(2)))**2.\nAnswer: -26 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -59\/1278 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 2. Suppose u*o = 6*o - 244. What is the remainder when o is divided by (-309)\/(-15) - 2\/(-5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l = 2*l - 36 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 286224 divided by -67.\nAnswer: -4272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1692*k - 1704*k - 24. Sort -11, -22, k in ascending order.\nAnswer: -22, -11, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**3 + 87*p**2 - 87*p**2.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 94597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (5 + -2 - (-146)\/(-50))*(8 - (-50 + 38))\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 5*v - g - 23 = 0, -36 = -5*v + 4*g. Solve 2*q - v + 10 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 268*o**2 - 14*o - 248. Let y(b) = 179*b**2 - 10*b - 165. Let t(l) = -5*a(l) + 7*y(l). Find the first derivative of t(q) wrt q.\nAnswer: -174*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 511 greater than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/32 of a kilogram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 186*u - 190*u + 13 = 0, -3*u + 12 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*r + 72*r = 3*c + 110*r - 30, 3*c - 2*r + 13*r = 7*r - 26 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000001010 - -1101?\nAnswer: -111111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**4\/7 - 26800*b**3\/7 + 7656*b**2.\nAnswer: 2*b**2*(b - 13398)*(b - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -60\/11, -3, 6\/5, 1, -2.1, 0.2 in increasing order.\nAnswer: -60\/11, -3, -2.1, 0.2, 1, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - 16 - -2 - (-2 - 5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + 2*m + 2. Let f(b) = -7*b**2 - 303*b - 4. What is f(g) + 3*r(g)?\nAnswer: -4*g**2 - 297*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11472 and 1?\nAnswer: 11472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 20 - 12. What is the derivative of 11 + c*o + o + 8*o - 21*o wrt o?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 8*k = 6. Suppose -3*x - k = -4*x. Solve -7*q + x*q + 16 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrghrrgrfrgrgrrrr. Give prob of sequence ggrh.\nAnswer: 11\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 9, v: 2, t: 8}. What is prob of picking 1 t and 1 e?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u + 57 + 272 = 0. Let f = u - -144. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 167.492945 to the nearest integer.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 383 + 148 - 39*y + 37*y + (y + 5*y - 4*y)*(0 + 2 + 0) to i*y + l and give l.\nAnswer: 531","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*u**2 + 26*u**2 + 20*u**2 - 98*u**2 + 14*u**2.\nAnswer: -19*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 311*i**3 - i + 4070 with respect to i.\nAnswer: 933*i**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -30.59 (c) -159\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -96*u**2 + 353199*u - 55185 = 0.\nAnswer: 5\/32, 3679","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1139, -1142, -1147, -1154, -1163?\n\"Answer: -g**2 - 1138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -78, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 641158837\/779880 + 1\/97485. Let p = -820 + a. Find the common denominator of -101\/10 and p.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 15*l**2 - 15*l + 30. Let f be g(14). Suppose 2*x = -2*x - f. Find the common denominator of -41\/5 and (x\/(-3) - 1)\/(4\/108).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185*b + 170 = -96*b + 2418 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 59 and 472.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1432 = -4*l + 3*c, -2*l - 5*c = -6*l + 1424. Let m = 365 - l. Solve -h - 2*h = 3*s + 3, m*s + 5*h = -7 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -69, -64, -55, -42?\n\"Answer: 2*d**2 - d - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5917726117 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r - 3497 + 2*r**2 - 3*r - 1512.\nAnswer: 2*r**2 - 4*r - 5009","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -3*d**2 - 2*d + 1. Let z be h(1). Let q = z + 5. Let k = 2\/63 + -23\/63. Which is greater: q or k?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -4\/7 (b) -7 (c) -2\/7 (d) -4.6 (e) 0.06 (f) 3 (g) 589\/4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37 - 33 + 70 + x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 1 (b) 2\/23 (c) 4 (d) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 5*o**2 - 372480*o - 7078925 = 0.\nAnswer: -19, 74515","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 + 14.87. Let u = 0.17 - f. Which is the nearest to 1? (a) 2\/7 (b) u (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3800 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 166 = -5*a, -a - 3*y = 3*a - 139. Calculate the remainder when a is divided by 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2\/7, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -115.1 take away 91?\nAnswer: -206.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do 774228 and 22\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.02 and 241?\nAnswer: 4.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 0 + 0*v - v - 2 + 0*v. Let g be q(-4). What is the third derivative of -19*c**2 + 2*c**3 - 2 + 25*c**g + 2 wrt c?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(5\/2)*k\/(k**(8\/3)\/k))\/(k**(1\/9)\/(k\/(k*k\/k**5)*k)))**(-11) assuming k is positive.\nAnswer: k**(-1331\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 5*g**2 + 127*g + 50. Let m be v(-25). Solve m = 80*i - 70*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = m + 4. Suppose 0 = -m*h + 2 + 4. What is the second derivative of u - 13*u**h - 8*u**4 + 13*u**2 - 4*u**4 wrt u?\nAnswer: -144*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.495 - -0.005. Let c = 0 + y. Let m = -3.5 - c. What is the nearest to 3\/5 in m, -2\/21, 2?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 - 17*f**2 - 28*f**2 + 49*f**2.\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, -230 in increasing order.\nAnswer: -230, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 h when four letters picked without replacement from {t: 7, h: 5}.\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 114 - -1?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 67 - 49. Suppose 5924 = 20*p - a*p. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 7 = -3*j + 10, -5*w + 34 = -2*j. Suppose -7*d = -w*d. Solve -h + 18 = -d*p - 5*p, -2*p + 4*h - 18 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 546.2 and 0.1.\nAnswer: 54.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2507236751 to 3 decimal places.\nAnswer: -0.251","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 12:21 AM?\nAnswer: 8:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 796 is divided by 42.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sw when two letters picked without replacement from iwtyccicwtwccsciiw.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.017 + 1.017124. What is b rounded to 5 dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 4*r + 28 = 0, -2 = -2*s - r - 6 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11560561 (base 8) in base 9?\nAnswer: -4713271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 35?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/3*(-564)\/(-47)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - -6 - (2 - -2) - (-2 - 35)) + -4.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 5*z - 22 = -2*n, -z + 5*n = 21. Suppose -z*r - 9638 - 21962 = 0. What is r rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 = -4*m + 2*m. Let n be (m\/(-28) - 2)*7. Suppose -21 - 15 = -n*t. Is 2 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6*1\/(-8) - (-40220)\/80?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96311 is divided by 19257.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 1244 = -4*y, -573*a - 4*y = -575*a + 612. List the prime factors of a.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*p + p + 0*p)*(-7*p - 1519 - 1526 + 3008) to y*p**2 + u + w*p and give y.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + 2\/(-4))*-34. Suppose 4*n + 16 = o, -n = 7*o - 2*o - x. Suppose 4*v = 5*i + 203, 0*v + 4*i = -o*v + 176. What are the prime factors of v?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17125350 to the nearest 1000000.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a factor of 500017?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**26\/y)\/y)**(-4\/11)\/(y*y**3)**34)**28 assuming y is positive.\nAnswer: y**(-44576\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8\/7 + -5\/14. Let t = 29 - 25. Which is the fourth biggest value? (a) t (b) -1\/3 (c) h (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - (-1 + 4 + -3). Let h = u + 7. What is the tens digit of h\/(-10)*135\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 q when three letters picked without replacement from skwsqasqcaaqas?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -427 + 424.6. Let k = -0.06 + -0.54. Let v = z + k. Which is the closest to -1\/4? (a) -2\/13 (b) 2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4 (b) -1\/2 (c) -2 (d) 1816\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 AM and 5:23 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 15 = -3*q, 25*j - 46*j = -3*q - 26*j + 24 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) 0.5 (c) 4 (d) -2\/17 (e) 2\/21 (f) -2\/1905\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-215)\/(-65) + -3)\/((-4)\/(-26)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 149*q - 12. Let y be s(3). What is the highest common factor of 58 and y?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**3 + 3*p**3 + p**3)*(-4 + 1 + 5)*(3 + 1 - 3)*(3 + 6 - 1)*(-p**2 - 4*p**2 + 7*p**2).\nAnswer: 32*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = 5*g - 338. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 n when two letters picked without replacement from ntonthd.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 0 + 1\/6*a**2 + 0*a = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -40 and -923.\nAnswer: 36920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.3 (b) 1\/3 (c) 3 (d) -77784 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i**2 + 3*i + 1. Let r(u) = -4*u**2 + 6*u + 3. Let q(l) = 5*n(l) - 2*r(l). Let j be q(3). List the prime factors of 78\/15 - (-2)\/j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(342)\/sqrt(96))\/(sqrt(12)\/sqrt(4)*1) + (sqrt(1900) + sqrt(1900) + 1 + 0 - (-1*-2*sqrt(1900) - sqrt(1900) - sqrt(1900))).\nAnswer: 1 + 81*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/22)\/(18\/(-54)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 AM and 11:05 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 59122 and 3034.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 9, u: 3, x: 7}. What is prob of picking 2 u and 2 x?\nAnswer: 21\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 406 is divided by 41.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/2 of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6235249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 35*l**2 - 8*l - 1. Let p be v(-1). Let z be (0 + (-330 - 0))*p\/(-105). What is the greatest common factor of 9 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -l - 78. Let x(m) = 33*m - 45. What is the remainder when x(6) is divided by l?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, -62, -188, -390, -686, -1094, -1632?\nAnswer: -2318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 PM and 6:22 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-40)*j*j**(-21)*j assuming j is positive.\nAnswer: j**(-59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -388*c**2 - 13 + 5147*c**5 - 5563*c**5 + 13 wrt c?\nAnswer: -24960*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29 - -12. Let p = h + 16.97. What is the third smallest value in -2\/25, p, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mma when three letters picked without replacement from mmmammmam?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211892 is divided by 42211.\nAnswer: 837","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 104\/39*(30\/4)\/5. Let w be (-2)\/s + (-4)\/(-8). Suppose -6*b + 26 = j - 3*b, w = -j - 2*b + 21. Calculate the remainder when j is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4881027 to the power of 1\/3, to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 24*a**3*j*p - 4*a**3 + 47*a**2*j - a**2*p + 13*p**2 wrt p?\nAnswer: 24*a**3*j - a**2 + 26*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 - 5*p - 24. Let b be x(8). Solve b = -a + h + 4, -7*a + 5*a + 5*h = -11 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v + 281308 = -10*v - 2*n, 0 = 7*v + 3*n - 984628. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4207?\nAnswer: 7, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24057 is divided by 24022.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 44203 (base 5) in base 7?\nAnswer: 11621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/b**(2\/7))**(-35\/2)*(b**2\/b)**(-31) assuming b is positive.\nAnswer: b**(-61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (2 - (0 - -4)) - -4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 176 = -5*b, -5*b = -2*i - 107 - 81. Suppose -10*t - b = -76. Solve t - 8 = -4*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - (20 + (-2 + (-23 - -8) - -7))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 9:20 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -162 at most -161?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 5, -1, -209, 0, -1\/3, -39.6?\nAnswer: -209","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(16\/(-8)*105\/60)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*g - 42*g + 101*g**2 - 29*g**2 + 78*g - 44*g**2.\nAnswer: 28*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -133451 and 0.5.\nAnswer: -66725.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1395, 1399, 1403?\nAnswer: 1407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/5)\/(22\/440).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 136 and 25126?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1569963*f**3*y**2 - 7*f**3 + 2*f**2*y - 3*f*y + 6207*y + 3 wrt y?\nAnswer: 3139926*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 23 - 101 = 0. Let m = 20 + -29. Let s = m - w. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 890 is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = 5*l - 214. What is the remainder when l is divided by (1 + 1)*-1 + 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/17, 7615, -5, 16\/3?\nAnswer: 7615","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 7*f**2 - 20*f - 11. Let r be g(-9). Let t(i) = r*i - 6 + 2*i - 5*i - 2. Let l(q) = -13*q + 25. Give -2*l(v) - 7*t(v).\nAnswer: -2*v + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -150 + 148. Find the common denominator of (-1)\/75*19*j and -59\/35.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 315 a factor of 447300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 - 16. Which is the closest to -2\/5? (a) f (b) 0.3 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2100\/2940*-4*126\/(-1920).\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88903 + 77903 = 345*c + 2744*c for c.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, n: 1, r: 2, t: 1, i: 7, s: 1}. Give prob of sequence iii.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 257375, 0 in ascending order.\nAnswer: -3, 0, 257375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 - 8*v**2 + 205*v - 383. Give a(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 - 2 - 5*h**2 - 1)*(-7 + 7 - 7*h + (1 + 3 - 5)*(2*h + 0 + 0) - 3 - h + 3 + 0*h + 2*h + 0*h).\nAnswer: 32*h**3 + 24*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k**2 - 92*k - 1365 = 0. Calculate k.\nAnswer: -13, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -954 + 114. Let y be g\/(-96) - (-3)\/(-12). Sort 0.2, 4, y in decreasing order.\nAnswer: 4, y, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 12 = 4*o, -187 + 181 = 5*z - 2*o for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 33.6? (a) -2\/5 (b) 0.5 (c) 1.2 (d) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-63)\/27*(24 - (-77679)\/(-3234))?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 2)*(z + z - 3*z) + (0*z - z - 2*z)*(4 - 4 - 1) + 176*z - 136*z - 184*z.\nAnswer: -139*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 39766.\nAnswer: 7\/39766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*d + a + a, a + 5 = -3*d. Suppose -2*h = 2*h. Let y(s) = 3*s + h*s + 5*s - 7*s. What is y(d)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 - 20*g + 92. Let i be k(-24). Let q be i\/(-6) - 7\/(-2 + 9). What is the closest to 0.2 in 0, 2\/3, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -3*p**2. Let y(i) = 8*i - 6. Let c(j) = -j**3 - 2*j**2 + j. Let v be c(-3). Let w(n) = -n + 1. Let d(a) = v*w(a) + y(a). Determine s(d(u)).\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-52) - (-45)\/(-39). Let w = -0.09 + 7.09. Let b = 6.7 - w. What is the second biggest value in 1\/7, b, x?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 101374754?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 20463, 40927, 61393, 81861, 102331?\n\"Answer: a**2 + 20461*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + w = m - 16, -2*w = 4. Suppose -f = -11*f + m. Determine l so that -4*l**3 - 55*l + f + 2*l**5 + 2*l**4 + 116*l - 4*l**2 - 59*l = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12438433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -4*z + 616, 2*s + 0*s - 2*z - 250 = 0. Factor 28 + 108*j**2 - 20*j - 36 - 7*j + 44*j**4 + 7*j - s*j**3.\nAnswer: 4*(j - 1)**3*(11*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20378, 20412, 20446, 20480, 20514, 20548?\nAnswer: 20582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 1) + (-3)\/6 + 3\/2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**2 + 4*t**2 - 4*t**2)*(1 - 13 + 2 - 20718*t - 13417*t + 10).\nAnswer: 68270*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 813 (b) 133\/15 (c) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 6 - 1 - u - 6*u + 7*u**2 + 6. Let n(z) be the third derivative of 0 - z**3 - 1\/15*z**5 + 1\/6*z**4 - 2*z**2 + 0*z. Give 11*n(p) + 6*r(p).\nAnswer: -2*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 725349271.\nAnswer: 233, 3113087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 29955 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 2\/1085468069?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 577 + -215. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -30*h - 3. Let s(r) = -796*r**2 + 2*r + 3. Determine d(s(c)).\nAnswer: 23880*c**2 - 60*c - 93","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 - 8*t + 9. Let m be (-14)\/(-3)*(-6)\/(-4). Let x be j(m). Let q(f) = 18*f + 1. What are the prime factors of q(x)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33*j + 103*j + 24*j)*(-4*j + 0*j + 2*j).\nAnswer: -188*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 5*f**2 + 2*f + 3. Let w = 1 + 2. Let j be v(w). Let q = -6 - j. Solve -y = 4*c + 13, -q*y - c + 12 = -6*c for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136032 is divided by 299?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23064553 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/(-1) + 8946\/2160 and 67\/4.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*s**2 - 2*s**2 - 3*s**2)*(-s + 4*s - 2*s) - 4*s**3 + 0*s**3 + 2*s**3 - s**3 - 2*s + 2*s)*(-1 + 0 + 2).\nAnswer: -5*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 850899547 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -119 + 105. Let c(m) = 9*m + 2*m + s*m - 9*m. Let v(l) = -2*l**2. Determine v(c(u)).\nAnswer: -162*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 845*k + 187199 - 162694 for k.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*k = 10585 - 38925. Let l = k - -21269\/15. Calculate the common denominator of 237\/(-2)*(-2)\/(-36) and l.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of -3969*a**5\/20 - 284*a**2 - 12*a - 79. Find the first derivative of q(f) wrt f.\nAnswer: -11907*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -141?\nAnswer: -1\/141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2054962782 rounded to three decimal places?\nAnswer: 0.205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/10 + (2 - (-9)\/15). Is 613*(-3 - -12) + y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 34 = -3*b + 11, 202*b + 2*i + 265 = -737 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - 1. Let a = u - -7.00000038. What is a rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*(2\/(-2) - 4). Suppose 3*y - 4*c + 453 = 61, -5*y - 660 = -j*c. Let x = y - -223. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-6))\/(3\/477). Let h = 9 + k. Suppose -152*b + 16 + h*b**2 - 490*b**3 + 173*b**2 + 241*b**2 = 0. What is b?\nAnswer: 2\/7, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2581\/91 - 261\/13. Suppose 0 = 3*f - 8*f - 30. Let l(u) = u - 6. Find the common denominator of l(f) and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -4*t + 4. Suppose -36 = t*q + 2*q. Let s = q + 6. Let x(w) = -w**3 - 3*w**2 + 2*w + 3. Give x(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-3445)\/624)\/(-53))\/(12\/(-48)).\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 112659?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5114076 divided by 53.\nAnswer: -96492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + r = -20. Solve 8 = 2*q - r*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express p**2 - 22 + 22 in the form a*p + d + w*p**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -66 - -68. Suppose 2*y = 4 - 0. Let q(g) = -y*g + 1 - d + 1. Let f(a) = -a**2. Calculate f(q(m)).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/2 + 1486569*g**2 + 5946273*g\/2 + 1486568.\nAnswer: (g + 1)**2*(g + 2973136)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 2 - 2*h**2 + 0 + (-4*h + 3*h + 5*h)*(-2 + 3*h + 2) - 2*h**2 - 3*h**2 + 3*h**2 to the form q*h + j + a*h**2 and give a.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-165)\/(-132))\/((-10)\/(-8)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, f: 7, s: 1}. Give prob of picking 1 g and 1 f.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-4282029)\/(-955))\/(9\/120).\nAnswer: 2, 3, 47, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 4 = 4*o, 5*r - 55 = o + 20. Suppose 5*b - 89 - r = 0. Is 9 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*f**4 + 11472*f**3 + 241938*f**2 + 1141560*f + 1557225 = 0. What is f?\nAnswer: -15, -3, 3845","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 3)*(-2*q**3 + 2*q**3 + 2*q**3) - 10 + 18 + 16*q**3 - 17*q**3.\nAnswer: q**3 + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 - 45*p + 236. Let d be l(6). Suppose 0 = -2*y - 3*v + 2875, -20*y + 7178 = -15*y - d*v. List the prime factors of y.\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26250, 52501, 78752, 105003, 131254, 157505?\nAnswer: 183756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(1\/2)*k**(-6\/13))**43)**2)**(15\/4) assuming k is positive.\nAnswer: k**(645\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wss when three letters picked without replacement from {i: 1, r: 3, f: 7, w: 2, s: 5}.\nAnswer: 5\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -14843, -14737, -14569, -14345, -14071, -13753?\n\"Answer: -h**3 + 37*h**2 + 2*h - 14881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/1075590 and 97\/537795.\nAnswer: 1075590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-65 + 65 + 63*r)*(5 - 2 - 1) + (-2*r - r + 6*r)*(2 + 0 + 0).\nAnswer: 132*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3455\/6, -1, 0.2 in increasing order.\nAnswer: -1, 0.2, 3455\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 75 - 43. Let j = g - 89. Let x = -34 - j. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 93549385504 and -7?\nAnswer: 93549385511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3*y**2 + 0)*(133 - 308 - 19 - 191).\nAnswer: -1155*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4006 and 914?\nAnswer: 1830742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 46, 70?\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j**2*k*l**2 - 10397*j**2*l**2 + 623*j*k*l**2 - j*k*l - 9*j - k*l**2 + 9*k*l wrt j?\nAnswer: 2*k*l**2 - 20794*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 g when three letters picked without replacement from {h: 3, g: 15}.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35 and 2667?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - o - 1. Let l(r) = r**3 + r**2 + 2*r + 2. Let j(i) = -l(i) - 2*x(i). Let j(p) = 0. Calculate p.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-145 - -31) + (242 - 215).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 - -22.05. Let l = -0.18 + 0.03. Let d = l - -0.25. Which is the biggest value? (a) m (b) d (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 - 5)*(2*i + 3*i - 7*i) - 3*i + 0*i + 4*i.\nAnswer: 13*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2995 is divided by 2986.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13641494*x**2 + 7749538 with respect to x.\nAnswer: -27282988*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 50 + -47. Solve -u*v + 5 = -4 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43624249 divided by -43624249\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 818?\nAnswer: -813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92727 is divided by 29260?\nAnswer: 4947","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**8\/((g*g*g\/(g\/(g**(-2\/13)\/g))*g*g*g)\/g))\/((g*g**(3\/2)*g*g)\/g**2) assuming g is positive.\nAnswer: g**(69\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48873792 divided by -803.\nAnswer: -60864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/9)\/(16\/96). Solve -s = 2*k - 3*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((231\/(-14))\/(-33))\/(9\/30))\/((-20)\/216).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a millennium in centuries?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 13*h**2 + h - 1. What is the smallest common multiple of 12 and r(13)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.03595 and 0.5.\nAnswer: 0.017975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jaj when three letters picked without replacement from jaaaajaaaa?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 - 7*o - 2. Suppose -y = 2*z - 27, 5*z + 24 = 2*y - 3. Suppose -4*j = y - 33. Calculate the least common multiple of b(-6) and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((2*sqrt(1100)*4 + sqrt(1100) + sqrt(1100) - sqrt(1100)) + sqrt(1100) + -4)**2.\nAnswer: -660096 + 4800*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1763050.\nAnswer: 2, 5, 37, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 29382 - 2?\nAnswer: 29380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1206, -2, -4 in descending order.\nAnswer: 1206, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-35*j - 2*j - 24*j)*(39750 - 39750 + 220*j**3) in the form o*j**4 + f + k*j + w*j**3 + m*j**2 and give o.\nAnswer: -13420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8 - -1)\/3 - 0. Suppose 0 = -v + 2*x - k, 31 = 3*v + x + 3*x. Let h(i) = 11*i**2 - 9*i - 5. Let o be h(-1). Solve -v - o = -4*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.8 + -0.8. Let p = -272 - -268.97. Let y = p + 0.03. Which is the nearest to 1? (a) y (b) m (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -303024 - -321242?\nAnswer: 13213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is c (base 15) in base 3?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -5*f - 219. Determine m(-21).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 5 (b) -2\/9 (c) 3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 602 and 430.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -5\/6, 2\/13, -0.421, -4, 3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 50 + -3 - 1*(-2 + 3). Let b = x + -41. Suppose -b*t - 116 = -7*t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3061756, -3061753, -3061750?\n\"Answer: 3*f - 3061759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36379 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 24*g**3 + g. Let a = 2 - -1. Let l = a - 2. Is d(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + 2 + -8)\/(-2). Suppose x*d + 45 = 2*y + 3*y, 3*d = y - 9. Suppose -4*l = -7*l + y. Solve 3*h - 11 = -2*k - 4, 0 = l*k + 2*h + 2 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 249 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1263?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2724 and 4097804?\nAnswer: 908","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13379*g*z**2 - 270737*g*z + 13*z**2 wrt z.\nAnswer: -26758*g + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000610934638 to 6 dps.\nAnswer: 0.000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = b + 12 + 11, -4*o - 3*b = -26 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -1045\/4 and -260 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1442 or -1439?\nAnswer: -1442","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448) - (sqrt(2448) - (sqrt(2448) + (sqrt(2448) - (sqrt(2448) + 0)*-6)) - sqrt(2448)) - sqrt(2448))**2 + sqrt(2448).\nAnswer: 12*sqrt(17) + 156672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03 * 1144.\nAnswer: -34.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 2*a - 18, -n - 4*a = -0*n - 8. Is 1015\/25 + n\/10 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 191 = 79. Suppose j*u = 23*u - 17773. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -187164 (base 13) in base 16?\nAnswer: -963f3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26 - -21. Let c = 1350 + -1346. What is the second biggest value in s, 2\/7, -1, c?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ksrtpykkksksysyrsysy. What is prob of picking 1 t and 1 k?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -4 + (6 - 3) + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2876 - 3*d**3 - 5747 + 217*d + 2871.\nAnswer: -3*d**3 + 217*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113*o**2 + 111*o**2 + 7*o + 2*o**3 - 12*o + 5*o.\nAnswer: 2*o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 26043819 divided by -234629?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 7*j + 19*j - 2*j**3 + 6*j to the form q*j + t*j**3 + z + f*j**2 and give q.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -3188 < 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.1? (a) -1 (b) -2\/7 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 2:22 PM?\nAnswer: 4:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a**4 - 2*a**3*c - 119*a**3 + 127*a**2 - 2*c wrt a.\nAnswer: -24*a - 12*c - 714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3591\/(-1425))\/63*(-10)\/(-35).\nAnswer: -2\/175","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1116, 3, 11, -2, -81 in increasing order.\nAnswer: -81, -2, 2, 3, 11, 1116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2670*g**2 + g - 3. Let m be f(-3). Let i = m + 38586. Let p = i + -10250. Round p to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (2 - 1)\/(3\/99) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*c + 1585 = -2*z - 182*c + 1153, -3*z - 48 = c for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 + 40*t + 314. Let s be r(-30). Solve 5*j - s = -34 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 4*c = -29320, -5*b - 37*c + 36643 = -41*c. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 16 = 0, 0 = -4*s - 17*w + 12*w + 100. Solve 0 = -2*o - 2*t, -16*t + 12*t = -s for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6680 + 10497. What is the hundreds digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 57019627 or 57019626?\nAnswer: 57019626","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -30*g + 2 + 3 + 31*g - 2. Let t be v(11). Let i be (t\/3 - 4)*(5 - -1). Put i, 0.5, -1 in decreasing order.\nAnswer: i, 0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 91839658.8 + -91839652.79999993. Let u = n + -6. Round u to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4460 + 1251*t**2 + t - 3773*t**2 - 4460 in the form c*t + b*t**2 + q and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 15 - 4 - 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*g + 2206180 - 2206428 for g.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 158417929.\nAnswer: -158417926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, 4487 in descending order.\nAnswer: 4487, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 0.6, 1572382, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.1448 to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -25*p + 381. Calculate the least common multiple of 1790 and a(15).\nAnswer: 5370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*z - 4*z + 780 = 69*z for z.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.18868 - -0.58868. Let r = 0.2 - -0.8. Which is the nearest to r? (a) y (b) 0 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 461 or 451?\nAnswer: 451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (5 + sqrt(180) + (-4*sqrt(40))\/sqrt(8))**2.\nAnswer: 20*sqrt(5) + 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**5\/3 - 8*l**4\/3 + 8*l**3\/3 + 4*l**2\/3 - 10*l\/3 + 4\/3.\nAnswer: 2*(l - 2)*(l - 1)**3*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -12d549 (base 14) in base 3?\nAnswer: -1020002111221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 110475325?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10441533 (base 6) to base 14.\nAnswer: -83573","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 90 + -89.971. Let x = q + 0.171. Which is the closest to 0.1? (a) 3 (b) -1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -2\/15 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 2:22 PM?\nAnswer: 9:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22221 - -222?\nAnswer: 100220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16339304963 prime?\nAnswer: True","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 {u: 3, g: 5, w: 3, r: 3, t: 4}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1 and 446.\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 2:37 AM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jwv when three letters picked without replacement from {e: 2, n: 1, i: 3, v: 1, w: 3, j: 1}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5474 divided by -2.\nAnswer: -2737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 10. Let n be (-6)\/x - 1 - 0. Which is the biggest value? (a) 3\/2 (b) n (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36730000 rounded to the nearest 1000000?\nAnswer: -37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hccc when four letters picked without replacement from {c: 15, h: 3}?\nAnswer: 91\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -737411, -1474774, -2212137, -2949500, -3686863?\nAnswer: -4424226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.218 and 152.\nAnswer: 152.218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, p: 6}. Give prob of sequence pfpf.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (27\/(-567))\/((-3)\/18). Factor 8\/7*y + 3\/7*y**2 + 3\/7 - a*y**3.\nAnswer: -(y - 3)*(y + 1)*(2*y + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 5*m - 810, 4*t - 657 = 13*m - 8*m. Solve 11*b - 130 + t = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a centimeter in micrometers?\nAnswer: 85000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(198)*2)\/(sqrt(98) - (sqrt(98) + 1*sqrt(98)) - sqrt(2)).\nAnswer: -3*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/18 and 79\/306?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide (0 - 3) + (106 - -8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 263 + -157. Let d = -1168\/11 + f. Let p = -629 - -629. What is the nearest to p in -1, -13, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/3124 and -52\/11.\nAnswer: 3124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 6*k**2 - 3*k + 5. Calculate l(2).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r**3 + 722*r - 749*r + r**3 to y*r**3 + z + c*r + i*r**2 and give c.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7347573 + -2?\nAnswer: 7347571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1400801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - 87060?\nAnswer: -87063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110010110110010000000110000 - 10?\nAnswer: -10110010110110010000000110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 2*r + 3. Let b = 8\/9 - 19\/18. What is the closest to r in -5, b, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -60 + -17. Let s = 85 + m. Let b = s - -13. What are the prime factors of b?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 1, -26, 11 in increasing order.\nAnswer: -26, -7, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 458328.8 days in microseconds?\nAnswer: 39599608320000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeue when four letters picked without replacement from {k: 1, u: 5, e: 3}.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.079 (b) 2\/5 (c) 0 (d) -3 (e) -9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 177 + -175. Let t(i) = 5*i - 2. Let c be t(2). Calculate the greatest common factor of c and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 - 191*p - 7777. Determine x(-132).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 28*r. Let a(j) = 22*j. Calculate g(a(k)).\nAnswer: 616*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203*h = 140*h + 266*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fjf when three letters picked without replacement from {j: 2, f: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003964224443 to four dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -6. Suppose -4*h - 4 = -n. Is 2\/561 less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + 14. Suppose b - k = -b. Let t = b - 4. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3801*a**4 + 61735*a**2 wrt a.\nAnswer: 91224*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32136 and 5252.\nAnswer: 3245736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {r: 1, c: 1, y: 1, i: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r**2 - 4*r + 4. Let c = -34 + 46. Suppose -c = 6*k - 3*k. What is the tens digit of a(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313304 divided by -2?\nAnswer: -156652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 - -3 - (78 + -84).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 3*v = -k, -k + 0*k - 5*v = -34. Let n(m) = -3*m + 9. Let d(p) be the first derivative of p**2 - 8*p - 2. What is k*d(b) - 5*n(b)?\nAnswer: 3*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 20 = h, h = -x - 0*x + 10. Solve s - i - 15 = -4*s, 3*i = -h for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/8)\/(3\/(-54))*146*18\/73?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 29\/5 of a tonne?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1\/2, 2\/488483.\nAnswer: -1\/2, 2\/488483, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23421 + -24?\nAnswer: -24000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = -3*v - 21 + 4, -4*v = 2*g + 16 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - (-8)\/((-40)\/591). Let m = 119 + g. Factor -2\/5*x**2 - 2\/5 - m*x.\nAnswer: -2*(x + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -51228, -4, 2 in decreasing order.\nAnswer: 2, -4, -51228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -47646 divided by 20\nAnswer: -23823\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (174 - 455 - 168)*(3 + 13*r**3 - 3).\nAnswer: -5837*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 8*w. Let r(y) = -155 - 2*y + 155. Give k(r(i)).\nAnswer: -16*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + 12*r**2 - 11*r + 20. Determine s(-13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -57290, -57288, -57286, -57284, -57282, -57280?\n\"Answer: 2*g - 57292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7472.4729352 minus -74?\nAnswer: 7546.4729352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 8 + 9 = 3*j, 0 = j + 5*t - 7 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/(-10))\/(17\/(-1360)*16)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 108 - 104. What is the tens digit of l + (-45)\/(-10)*30?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*24\/66)\/((-472)\/(-236)).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2013 a multiple of 160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -4*i - 39 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4 + ((-4 + sqrt(833)*-2 - 3*sqrt(833)*1) + sqrt(833)*-2*-6 + sqrt(833) + 1 + 1)**2.\nAnswer: -224*sqrt(17) + 53318","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 6, -330 in descending order.\nAnswer: 6, 1, -330","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -5*f - 5. Let m(h) = 9*h + 10. Let i(g) = 5*a(g) + 3*m(g). Let s(v) = -2 - 3 + 4 - v. Give -i(u) - 4*s(u).\nAnswer: 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**3 - 17212*d**2 + 17212*d**2.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**3 - 1 - 2*l**2 + 8*l**3 + 2)*(4 + 2 + 0).\nAnswer: 42*l**3 - 12*l**2 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b. Let f(k) = k. Suppose 0 = -7*a - 43 - 6. Calculate a*f(n) - 5*o(n).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 3*r**2 + 13*r - 12. Suppose 4*j + 40 - 16 = 0. Is 6 a factor of k(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 87 + 3*z + z - 104 as w*z + p and give p.\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.07 or 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of x**3\/2 - 2*x**2 - 4*x. Let q be a(3). Suppose -2*l = -q*l + 27. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.5 + -1.5. Let k = -67 + 1141\/17. Which is the second biggest value? (a) f (b) k (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t**2 + 91*t + 659. What is n(52)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 186 (base 15) to base 12\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9276)\/(-21) - 2\/(-7). Suppose 4*q - 2*r - o = 0, -3*q + 334 = -r + 2*r. What is q rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v - v**2 + 0*v)*(-9 + 9 - v**2 - 7*v).\nAnswer: v**4 + 7*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 57 = 63. Let g be -10*(-2 - x\/(-15)). Which is the third smallest value? (a) -2 (b) g (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -784639 - -784659.03348. Let o = q + -0.07048. Let s = o - 20. Round s to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(792) - sqrt(792)*1)*-3)\/(-1*sqrt(2)*4*4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195*t + 52 = 193*t, 4*s = -2*t - 48 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -2*z + 7*z - 9*z + 2*l - 1, -l = 3*z - 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -17*m*t*y**3 + 35*m*t - m*y**3 + 290*m wrt t?\nAnswer: -17*m*y**3 + 35*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2664 is divided by 127?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u + 5. Let a be d(11). Suppose -3*l + 26 = -a. Calculate the lowest common multiple of 14 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.9 + -1.85. Let y = w + -3.05. Let g = 3.97 + -4. What is the closest to g in -5, y, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = -592*c + 583*c + 10, 4*z + c = -6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (30 + 5)*(-3)\/(5\/5). Let p = -121 - z. Sort 1, p, -1, -5 in ascending order.\nAnswer: p, -5, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 - 2*l**2 + 2*l**3)*(1 + 2*l - 1 + (-5 + 4 - 2)*(-4*l - 9*l + 5*l))*((l - 3*l + 0*l)*(1 - 1 - 1) + 3*l - 3*l + 2*l + 0 + l + 0).\nAnswer: 260*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 551314413?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2307312 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16.42, -3\/2, 148 in increasing order.\nAnswer: -16.42, -3\/2, 148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3)*q**(-4))**(7\/6)\/((q**2\/(q**(-3\/7)*q))\/(q**1*q)**(-4\/5)) assuming q is positive.\nAnswer: q**(-2351\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65682 is divided by 947.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 4*q**2 - 7*q + 6. Calculate g(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/66 and 27\/10.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -3842*a**2. Let l(k) = 2*k - 351. Calculate l(g(b)).\nAnswer: -7684*b**2 - 351","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 200435 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5826534, -5826524, -5826514, -5826504, -5826494, -5826484?\nAnswer: -5826474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (204\/10659)\/((-4)\/132).\nAnswer: -12\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -86554, -173917, -261274, -348625, -435970, -523309, -610642?\nAnswer: -697969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12441864 less than -1.14248599?\nAnswer: -12441865.14248599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of 35\/6*a**6 + 0*a**5 + 0*a**3 - 18 + 0*a - 109\/2*a**2 + 0*a**4. What is the second derivative of y(z) wrt z?\nAnswer: 700*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/26)\/((-4)\/(-52)). Solve 2*f = -4*m - 14, -m + f - 2*f = w for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 1:34 PM?\nAnswer: 3:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 2, -d = -m + 6 - 1. Suppose c + 20 = 5*z, -m*z + 0*z = -4*c - 29. Put z, -2, -3 in decreasing order.\nAnswer: z, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -236 + 96 = -5*f. Calculate the least common multiple of 28 and f.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 j when three letters picked without replacement from {u: 1, j: 2, z: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y + y + y**2 + (2 - 4 + 0)*(0*y**2 - 2*y**2 + 3*y**2) + 0 + 0 - y**2 + (-4 + 4 - y**2)*(-10 + 0 + 40) - y**2 + y**2 - y**2 + 2*y**2 + 0*y**2 - 5*y**2.\nAnswer: -36*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 8 = w. Let k be (-2)\/((-4)\/(-3))*w. Let v = -1 + k. Which is the biggest value? (a) v (b) 1\/3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 3) to base 4\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from gooqooogggggoooooq?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5902 is divided by 819?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -33*d - 72. Let w(o) = -84*o - 177. Give 12*k(f) - 5*w(f).\nAnswer: 24*f + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 80b4 + 15?\nAnswer: 80c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (25*j**3 - 10*j**3 - 14*j**3)*(-17*j + 2*j - 79*j) to the form z*j**2 + m*j + i*j**4 + t*j**3 + q and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x + 1 - 1)*(3*x - 3*x - 3*x)*(-4 + 1 - 12).\nAnswer: 135*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-5*1\/(-5))\/(-1))\/1. Sort h, -2, -7 in descending order.\nAnswer: h, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -197 + 537. Calculate the remainder when t is divided by 86.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.2711 + 1.2707229. Round f to four dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 12.24, 1\/3, -2\/9, 5.\nAnswer: -2\/9, 1\/3, 3, 5, 12.24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**4 + 78*g**3 + 342*g**2 + 4*g - 454. Let v(q) = -6*q**4 - 141*q**3 - 684*q**2 - 6*q + 907. Let l(p) = 10*h(p) + 4*v(p). What is d in l(d) = 0?\nAnswer: -2, 1, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3010, -3389, -3768, -4147, -4526, -4905?\nAnswer: -5284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -2*v + 6, 3*r - 52 = -v. Suppose m - 4*g - 39 = 0, 3*m - 3*g - 21 = 114. What is the remainder when 0 + 1 + (m - -5) is divided by r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*c**3 + 7197*c**2 - 7197*c**2.\nAnswer: -57*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*(-5)\/(-140))\/((-3)\/12)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 647 + -679. Is 528\/(-6)*44\/m a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105012310 - -1.8.\nAnswer: 105012311.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 25*k**2. Let z(u) = 14*u + 170. Determine w(z(a)).\nAnswer: 4900*a**2 + 119000*a + 722500","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 62665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 74 + 1. Suppose -26 = -3*c + w. What is the remainder when 48 is divided by c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 249 - 248.67. Let t = n - 0.18. Round t to 2 decimal places.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 235*z = 32*z - 157*z - 1080. Let n(v) = -1 + 0 - v + 0. Let o(i) = -6*i - 4. What is z*n(j) + o(j)?\nAnswer: -3*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 24\/1*(-2)\/(-4). Let z = 32692 - 32668. What is the greatest common divisor of u and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -6*q + 16. Suppose -4*k + 168 = -4*v, -q*k + 55 = -3*v - 110. Is k a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14592957?\nAnswer: 3, 4864319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -143 divided by 1.\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of n**4\/2 - n**3\/3 + 11*n**2 + 16*n - 47. What is the tens digit of o(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = 23 + 43. Let n = x - 14. Let s(y) = 4*y**2 + 5*y + 5. Let a be s(n). What is the greatest common divisor of a and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**2 - 864*l + 1712.\nAnswer: 4*(l - 214)*(l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -211322*d**3 - 4*d + 6289 wrt d.\nAnswer: -1267932*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17195\/11 - 1569. Are m and -4.3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -703*i + 3704. Calculate q(6).\nAnswer: -514","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of 5*z**3\/3 + 13*z**2\/2 - 11*z + 156. Is b(14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one tenth of a gram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.09019459 + 0.090902. What is g rounded to 5 decimal places?\nAnswer: 0.00071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/240*-984)\/((-1)\/5)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.103 + -0.021. Let h = k + -0.0937. What is h rounded to three decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-19*r - 42*r + 4*r + (1 + 3 - 2)*(4*r - 2*r - r))*(-3*r - r + 0*r)*(r + r - 3*r) as u*r**3 + v*r**2 + n*r + d and give u.\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09190404289 rounded to 2 decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2207 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 128\/12*6\/(-2). Let n be -4*4*(-12)\/h. Let t(q) = -q**3 - 5*q**2 + 3*q - 1. List the prime factors of t(n).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 16*j**5 + 3572*j**4 + 52604*j**3 - 252032*j**2 - 66240*j = 0.\nAnswer: -207, -20, -1\/4, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/7 (b) -459 (c) -5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.4432 + 2.5568. Let v = -0.1 - -0.16. Which is the fourth smallest value? (a) -1\/3 (b) q (c) v (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - 2*x**2 + 2*x + 1. Let m be u(-3). Suppose i - 115 = -m*i. Let j = 38 - i. List the prime factors of j.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -149\/36, 1, 4, 3\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 39886 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 84.7 minus -15331?\nAnswer: 15415.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -14*i**2 + 17*i + 14. Let a(o) = 5*o**2 - 6*o - 5. Let u(h) = 17*a(h) + 6*c(h). Let u(x) = 0. Calculate x.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -25117.1768 to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0509329486 rounded to 4 decimal places?\nAnswer: -0.0509","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6388 + 6580 = 24*z for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2 - 2*y - 267*y**2 - 3 + 7*y**3 + 267*y**2. Let v be j(-1). Which is the third smallest value? (a) 3 (b) v (c) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.37295 (b) -2\/13 (c) 1\/2 (d) 2\/5 (e) 33 (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and ((-4)\/7)\/((-14)\/49) + 0?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 87693 and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -262*z + 3875 = -258*z - 5*x, -2*x = -4*z + 3890. List the prime factors of z.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 480 (b) -1 (c) 2\/3567\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0774 to three dps.\nAnswer: -0.077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/(-3))\/((-2)\/8). Let a be h*-1 - (1 + -5). Solve 0 = -a*k - k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8493 + 8489. Let z = 578\/5 + -114. Which is the smallest value? (a) 0.2 (b) z (c) -5 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -480734, -961793, -1442852, -1923911, -2404970?\n\"Answer: -481059*l + 325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffttfovfssitfs. What is prob of sequence osvf?\nAnswer: 5\/8008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6349, -7, 8.\nAnswer: -7, 8, 6349","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqf when three letters picked without replacement from fffflqfqqfffllfllfql?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/21 + (4 - 150\/35). Suppose 5*g - 6*g + 3*r + 223 = x, -5*r - 225 = -g. What is the remainder when g is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23223231 - 1?\nAnswer: -23223232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18*y + 5*y**2 + 42*y**5 - 6*y**2 - 26*y + 260*y wrt y?\nAnswer: 840*y**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69 - 101 = 28*r - 58 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 318.19 and 0.1?\nAnswer: 31.819","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2058 = -14*z - 28*z. Suppose -3*j + 4*j = -q + 33, -5*q + 3*j = -125. What is the remainder when z is divided by q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7*60\/112)\/(210\/(-96))\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 64*v**4 - 12*v - 2 wrt v.\nAnswer: 768*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-64)\/(-58) + -1)\/(-2110 - -2111))\/(-15)*-15?\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -9444.\nAnswer: 1\/9444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -2) + 4 - (-2 + 5).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*q - 62 + 35 = 0. Which is bigger: 6\/77 or q?\nAnswer: 6\/77","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 7:28 AM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -2*sqrt(891) + 0 + -2 + sqrt(891) + 0 - (-4*sqrt(891) + 2 - 4*(sqrt(891) + -3)))**2 + -1.\nAnswer: -2646*sqrt(11) + 44099","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 18, 4\/5, -0.2 in ascending order.\nAnswer: -4, -0.2, 4\/5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - 6*t**2 - 7*t + 2. Let s be p(7). Suppose -2*l + 6 = -2. What is the second derivative of s*k**3 - k - k + l*k wrt k?\nAnswer: 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 9*l + 35. Let x be o(-4). Let s be 57\/(-76)*2*x. Let g = -250\/7 - -36. What is the fourth smallest value in g, -3, -6, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 AM and 12:51 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3063 divided by 6806.\nAnswer: 3063\/6806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 AM and 7:37 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3 + 0.31. Let v = f - 2.01. Let i = 1 - 1.5. Sort v, 2\/9, i.\nAnswer: v, i, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of 0*y**5 + 5*y + 0*y**2 + 0 - 1\/2*y**3 - 1\/21*y**7 + 0*y**4 + 0*y**6. Find the second derivative of c(f) wrt f.\nAnswer: -40*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63128 divided by -6?\nAnswer: -31564\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus 18385?\nAnswer: -18385.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r**3 - 8193 + 8193 - 1038*r.\nAnswer: r**3 - 1038*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2 + 1)*(-6 + 0 + 2)*(-v + 6*v + 5*v) to x*v + f and give x.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6764, -7056, -7544, -8228, -9108?\n\"Answer: -98*i**2 + 2*i - 6668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 101466?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38443 + 93767. What is m rounded to the nearest 1000?\nAnswer: 55000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 6. Suppose t = r - 4 + 5, t + r + 9 = v. List the prime factors of 3 + 10*(-2)\/t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12.81 + -72.71. Let k = 63 + j. Let d = k - 3.9. Which is the closest to 0.1? (a) -3 (b) d (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by 1*60*13\/39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-267)\/2)\/(15\/(-20))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = h + i, h - 2*i = 2*i + 16. Suppose h*z - 8*z = 8. Which is the nearest to -7? (a) -1 (b) z (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fdxxmxmxbxxmdx. What is prob of sequence df?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 + 9*g - 56. Let y be i(-9). Let k = y - -933. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2 and -413.516.\nAnswer: -413.716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 13) to base 4.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**3 + 3*s**3 - 3*s**3)*(229*s + 27 - 2*s**2 - 229*s).\nAnswer: -4*s**5 + 54*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/5 (b) -2.3 (c) -2 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 6*t**2. Let v(d) = 2*d + 26. Let b be v(-11). Let x be ((-6)\/(-8))\/(b\/16). Let u(j) = 8*j**2 + 0*j**2 + x*j**2. Determine w(u(i)).\nAnswer: 726*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 AM and 1:17 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/3)*c*c)\/(c\/(c\/(c*c**(-2)*c)))*(c\/c**(-1\/2)*c)**37)\/((c**(-2\/7))**(-3\/17)\/(c\/c**(-2\/7)*c)**(-34)) assuming c is positive.\nAnswer: c**(1639\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -3*n - 6. Suppose 0 = w + 6. Let k be a(w). Is 3118\/k*4 - 3\/9 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -155*l**2 - 821*l - 396. Give x(-5).\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -143902, -144793, -145672, -146533, -147370, -148177, -148948, -149677?\n\"Answer: g**3 - 898*g - 143005","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of q**4\/4 + 7*q**3 - 75*q**2\/2 - 29*q - 46. What is the remainder when 257 is divided by g(-24)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1124970 times 3?\nAnswer: -3374910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l = 52 + 60. Solve n - 2 = -l for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(459)*4)\/(1*sqrt(108) + sqrt(3)).\nAnswer: 12*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 1043*z. Let q(v) = -v - 25323. Give q(m(b)).\nAnswer: -1043*b - 25323","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 535740749 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xifiq. What is prob of picking 1 f and 1 q?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 167 - 158. Let i be (g\/6)\/((-6)\/16). Put 2, i, 1, -5 in increasing order.\nAnswer: -5, i, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of ((-1417)\/3)\/((-1)\/(-9)*-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 d when three letters picked without replacement from {t: 2, d: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/(44\/(-6)))\/((-45)\/(-4)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -47*g**3 - 34*g + 17772?\nAnswer: -141*g**2 - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -324 * -42281.\nAnswer: 13699044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 23285963 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(245) + (sqrt(245) - sqrt(245)*-2) + sqrt(245) - sqrt(245)) + sqrt(245))\/sqrt(7) - sqrt(35))\/(sqrt(40)\/sqrt(72)).\nAnswer: -48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 3492908?\nAnswer: 6985816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = -5*y - 16762*g + 16757*g, 0 = -5*y - g - 12 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -49068948820070 + 7556650929888839\/154. Let t = u - 213063078. Let j = t + 5262\/7. Calculate the common denominator of j and 125\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -83076, -166851, -250618, -334371, -418104, -501811?\n\"Answer: v**3 - 2*v**2 - 83776*v + 701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(270)\/sqrt(6))\/sqrt(9))**2.\nAnswer: 2*sqrt(5) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + 10*f**2 + 27*f - 32. Let z be r(12). Suppose 16 = z*m, -3*x + 5*m + 1 = -6. Solve -n - 3*n + 4*w = 0, -4*w = 5*n + x for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 66*f**3 - 100*f**3 - 1 + 69*f**3 + (2*f**2 - 2*f + 2*f)*(0 + 0 - f).\nAnswer: 33*f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of c**3\/3 + c**2 - 22*c - 34. Let d be f(4). Suppose -8 = -d*q - 0*q. Solve 0*j + i - 9 = 2*j, -2*j + q*i - 6 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*d**3 - 13*d**3 + 255*d + 41*d**2 + 24*d**3 - 254*d.\nAnswer: 31*d**3 + 41*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 70*w**2 - w - 317. Let f be x(-70). Is f at least -247?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 10444 and 15.1?\nAnswer: 10428.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 23560 = 5*h, 5*j = -4*h + 25000 - 1439. List the prime factors of j.\nAnswer: 3, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 5*t = 3 - 19, -3*u + 3*t = 18. Which is the smallest value? (a) u (b) -1\/4 (c) 0.5 (d) 0.3 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 49100.955 to the nearest 1000.\nAnswer: 49000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.892 - -1.192. What is the biggest value in 1.5, -9, 2\/11, s?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4*(10\/(-80))\/(3\/126). Suppose r - u + 4284 = 0, 0 = 20*r - n*r + 4*u - 4296. Round r to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/4*4\/2. Let j(h) = -5 + 20 - 9*h - 2 - 18*h - 7. Is j(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((10\/8)\/(4675\/2040))\/(276\/1452*11).\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16107 - -16239. Let l(o) = 5*o. Calculate the remainder when k is divided by l(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -277 greater than -2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from njwjwjkwwkwnn?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2772576*s**3*z**3 - 75*s**2 + 4*s*z - 368*z**3 wrt s?\nAnswer: 16635456*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-152)\/133*(108\/16)\/9?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14)\/3*72\/28. Let s be ((-3)\/4)\/(3\/f). Suppose -2*v + 7*v + 5 = 0. Sort 4, v, s in descending order.\nAnswer: 4, s, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + -5 + 28 - (-7 + 0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 + 10*x - 5. Let d = -36 - -25. What is the units digit of n(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f + 6. Let p be n(0). Solve u = p*u - 25 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 450?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -48.5 and -1025.913.\nAnswer: 49756.7805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d233 + -2d95?\nAnswer: -121c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140604.\nAnswer: 2, 3, 11717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5827.64 days to weeks.\nAnswer: 832.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 3*b + 3 = 0, 4 = 2*b - 3*b. Let l(x) = -x**2 + 2*x - 2. Let g be l(4). Let q = -8 - g. Calculate the remainder when c is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, e: 1, s: 2, z: 2, p: 2, g: 1}. Give prob of sequence zz.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.185 + 76086024379.\nAnswer: 76086024378.815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -35.094634 times -0.5\nAnswer: 17.547317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 3. Let f(m) = 39*m + 154. Let w(d) = 5*c(d) + f(d). Find the first derivative of w(t) wrt t.\nAnswer: 39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 - 2. Let m be v(2). Let n(j) = 3*j**2 - 4*j + 10. Let i be n(3). Suppose 0 = -5*k + 5*h + i, -3 = k - 5*h - 4. Solve -k*l = -m*l + 8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 - 6*w**2 - 28*w + 150. Suppose 15*o + 210 = 45*o. Let q be k(o). Solve q*p = -p - 12 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-336)\/378*12\/80.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - -2. Let y(q) = q**2 + 7 + 1 + 4 + 10*q. Let h be y(-9). Solve -a = -h*s - 8, z*a = -3*s + 2*s - 8 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7)\/(-14) - 2\/(-4). Does 14 divide -1*(35 + 2)*(d - 4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -85 + 128. Let r = t + -83. Which is smaller: r or -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 757041.5l to millilitres.\nAnswer: 757041500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8009202)\/(-18) - -11 - (-1)\/3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/12 and -79\/2632202.\nAnswer: 15793212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2558 less than 0.1?\nAnswer: -2557.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 + 38. Suppose -4*w - 4*w + c = 0. Solve -w*m + m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 7 + 7 + (-4 + 2 + 1)*(-4 + 3 + 0) - 1 - 1 - 2 + 0 - 1 + 3 + (-2 + 1 + 3)*(0 + 1 - 2))*(10*h - 14*h + 16*h) to the form w + q*h and give q.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 138*f. Let n(x) = -3*x. Calculate n(o(z)).\nAnswer: -414*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b8 + -c?\nAnswer: -c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4636 - 2476. Does 48 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 588766.\nAnswer: 2, 294383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1069404?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1072*b + 2657*b**3 - 3579*b**3 + 2952*b**3 wrt b.\nAnswer: 12180*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2251.\nAnswer: 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6282.042kg?\nAnswer: 6282042000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.212531558 - -1.2125. What is f rounded to six decimal places?\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/17, 10, 6, -11, 1\/21.\nAnswer: -11, -2\/17, 1\/21, 6, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5732551 divided by -521141.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/1*-2*(-32)\/(-16)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 0 + -6 + 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -11*u**2 + 124. Let i(c) = 10*c**2 - 186. Let g(m) = 2*i(m) + 3*s(m). Let l(b) = b**2 + 22*b. Calculate l(g(z)).\nAnswer: 169*z**4 - 286*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(80)*-2*-1)**2.\nAnswer: 2880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 163 + 80\/(-8) + 2. Let c be 4 - -8*(w\/(-30) - -5). Determine l so that 2 + c*l + 2\/3*l**2 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 4*z - 26*z + 14*z + 0*z. Let i(y) = y**2 - y. Let p(x) = x**2 - 2*x. Let q(n) = -6*i(n) + 3*p(n). What is f(q(a))?\nAnswer: 24*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + 1 - 2 - 1)*(12 - 23 + 17).\nAnswer: 6*s - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(560\/36)*200\/(-240)*(-1)\/(-24)\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m - 15, -13 - 5 = -4*a - 2*m for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + 2 + r + 3*r)*(17 + 14*r - 17).\nAnswer: 14*r**2 + 28*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 6, 2018 in ascending order.\nAnswer: -1\/2, 6, 2018","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 17, 0, -2 in descending order.\nAnswer: 17, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*l - 23*l + 576 = 0. Which is the closest to -0.1? (a) 0 (b) 3 (c) l (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2646, 2632, 2610, 2574, 2518, 2436?\nAnswer: 2322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*a**4*p + 212480*a**3 + 338*a**2*p - 47849 wrt a?\nAnswer: -144*a*p + 1274880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8.2 + 8. Let h = 2\/33 - 8\/33. Let w = -6 - -4. Put w, h, q in descending order.\nAnswer: h, q, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 204*y + 3439 + 516 + 941 for y.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -4887\nAnswer: -977.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/1708 and 15\/112.\nAnswer: 6832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 1. Let k(w) = 6*w + 6. Let i(d) = k(d) - 24*x(d). Let s be i(4). Let o(g) = g**2 - 8*g + 6. What is o(s)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 16*f + 14*f = -3484, -2*y = -2*f - 1742. What are the prime factors of y?\nAnswer: 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-17)\/f**(-9))\/(f**8*f)**(8\/15))**(-2\/45) assuming f is positive.\nAnswer: f**(128\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 530 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -4*i + 32. Determine x(-8).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -637, -1278, -1915, -2548, -3177, -3802, -4423?\nAnswer: -5040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/3)\/(z\/((z*z**(-2\/83))\/z)))**(-26) assuming z is positive.\nAnswer: z**(4472\/249)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 2\/23, -1\/4, -2\/11?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -165.32.\nAnswer: -495.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 60472 to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 13227\nAnswer: 39681","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of -l**7\/12 - l**6\/12 + l**5\/20 + 5*l. Factor n(o).\nAnswer: -o**3*(o + 1)*(7*o - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2387769?\nAnswer: 3, 17, 46819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 5*h**3\/3 + 4740*h**2 - 42725*h\/3 - 18980 = 0.\nAnswer: -2847, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/66597 and -25\/27?\nAnswer: 599373","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6\/25 of a milligram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -126712 or -126719?\nAnswer: -126712","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2686681?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.96717 + 0.03283. Put -1\/2, 2, 1\/10, p in ascending order.\nAnswer: -1\/2, 1\/10, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 + 17.19. Let t = f - 1.24. Let y = t + 0.993. Round y to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 bigger than -56\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -41554*f**4 + 42*f**2 + f + 20?\nAnswer: -997296*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1166900 and 456.\nAnswer: 133026600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 4\/23, 2, 4?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 4*o = -12, -5*y + 24 = -3*o + 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3350 - -412?\nAnswer: -2635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1326 - -30763?\nAnswer: 32200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - (-38 + -42) - 52.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j + 75 = -15*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85.55453mm to centimeters.\nAnswer: 8.555453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/3, -12.3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15.2 - -15. What is the nearest to -1 in -7, q, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200*p - 194*p = -358*p + 900 for p.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11972 + -11972.2. Put -1\/4, 2\/133, -4\/3, l in descending order.\nAnswer: 2\/133, l, -1\/4, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (9 + -1 + (-8 - -3) + 8).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.2, -2, -1\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15056250 and 4215750.\nAnswer: 105393750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 0.222.\nAnswer: 0.111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - 142*u**2 - 71 - 38*u**2 + 27 + 16.\nAnswer: -180*u**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2088*p - u - 1 = 2092*p, -3 = -p + 3*u for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ys when two letters picked without replacement from {y: 4, l: 1, m: 6, s: 3}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.004357 - 0.0043598517. What is g rounded to seven decimal places?\nAnswer: -0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 203767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -869658*b**2 + 700*b - 49 wrt b.\nAnswer: -1739316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-3 + sqrt(432)) + sqrt(432) + sqrt(432) + 2 + 4 + -6*((sqrt(432) + 1)*-6 + sqrt(432) + -1*(0 + sqrt(432))))**2.\nAnswer: 32472*sqrt(3) + 727281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -131343.00104 - -131354. Let f = k - 11. Round f to 4 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -8. Let j(k) = -17*k. Determine j(w).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 + 14*j + 70. Let m be b(-4). Put -20, m, 1, 2 in descending order.\nAnswer: 2, 1, m, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n**4 + 3*n**2 + 34*n - 46*n + 0*n**3 - 2*n**3 to the form o + b*n**2 + k*n + s*n**4 + i*n**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 680 and 425?\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**4 + 30480*f**3 - 77113800*f**2 - 1551432000*f - 7772430000.\nAnswer: -3*(f - 5090)**2*(f + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 55\/22*(-56)\/770\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -0.542, -1\/2, 1, -2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n**14\/n)\/n)**(13\/7)\/(n\/(n*n**(-3)\/n)*n*n**(3\/4)) assuming n is positive.\nAnswer: n**(81\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -44\/51 and -1\/306.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/40 and -17\/64.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-307)\/3)\/(6\/(-18)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -p + 36. Calculate the remainder when 4\/5*(2 + 2493\/p) is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 5*x - 227, 3*z + 2*x = 3*x + 173. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*w**2 - 62*w**3 + 65*w**3 - 10*w**2 + 49*w**2 to i + d*w + b*w**2 + a*w**3 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 317812 and 64108.\nAnswer: 1364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4772 + 274022 = 3*c + 2*a, 4*a = -3*c + 269250. What is c rounded to the nearest 1000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1280461.\nAnswer: 7, 13, 14071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 + 8*x**2 + 4*x - 17. Let j be (-1 - (-225)\/(-35)) + (-24)\/(-56). Let a be w(j). Solve 0 = -3*n - 2*i - 4, 6*n + 12 = a*n + i for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 4) in base 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -7*(4\/(-21))\/(10\/1005). Which is smaller: v or 135?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 3 a when four letters picked without replacement from {a: 4, j: 1, w: 2}?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that c**2\/2 + 73*c + 5329\/2 = 0.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23.7 - -24. Let q = -0.3 - -1.3. Which is the closest to 0? (a) q (b) h (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*m - 3941 = -50*m. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 954 divided by -3\nAnswer: -318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + 3 + -2 - 0. Suppose 12*y - d*y - 18 = 0. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -290, -70 in decreasing order.\nAnswer: 0, -70, -290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011111001011001 + -1011010010000?\nAnswer: 1010011111001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8792811, 8792798, 8792785?\nAnswer: 8792772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -5*f + 8*f. Suppose -7*r = -2*r - 80. Solve 0 = -5*u + f + r for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - (-15 + -1 + -9)) + -3 + 0\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 4511*f - 221106. What is a(49)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 9:51 PM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -6) + -8 + 10\/12?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -600 = 63*s - 868 + 2032 for s.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 + 1. Let k = -7 - -13. Suppose 0 = 4*y - 2*c - 6, -2*y - 5*c + 15 = -k. Let h(r) = -r**y - 9 + 9*r**3 + 0*r**3. Calculate 2*h(j) + 18*u(j).\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -6 times 0.02\nAnswer: -0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -391540 rounded to the nearest one thousand?\nAnswer: -392000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*4\/24)\/((22\/(-2))\/165)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 2)*(57 + 38 - 77 + (-3 + 1 + 3)*(-1 + 0 - 1))*(0*r**4 - 3*r**4 + 2*r**4 + (-2 + 2 + r)*(0 + 0 + 2*r**3) - 2*r**4 + 2*r**2 - 2*r**2).\nAnswer: -16*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 373*q - 4245. What is m(14)?\nAnswer: 977","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7053*p + 14 = 4*l + 7051*p, 2*l - 5*p - 43 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 - 2) + -1*4. What are the prime factors of 6\/(-9)*c + 16?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x**4 - 4*x - 3*x**4 - 4*x**2 + 6*x**2 + 2*x + x**3 as c*x**4 + l*x**2 + o + s*x**3 + t*x and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40*((-414)\/(-621))\/((48\/9)\/4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -185906491*l**2 + 317342234*l wrt l?\nAnswer: -371812982","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nr when two letters picked without replacement from vdnvrfvmvmmmvvd?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -71540, -71164, -70772, -70358, -69916, -69440?\n\"Answer: p**3 + 2*p**2 + 363*p - 71906","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 14) to base 15.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 15*f + 20. Let q(y) = -y - 8. Let c(w) = -k(w) - 3*q(w). Calculate c(5).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1536 is divided by 253.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 2*b = 3*a + 28, 5*a = 3*b + 114. Let r be 398\/14 + a\/(-56). Suppose 26*t - r*t + 8400 = 0. Round t to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**0)**(3\/8)*s**5\/(s*s**(-1)*s) assuming s is positive.\nAnswer: s**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 76 = 2*x, -5 - 38 = -x - 2*c. Let s = 41 - x. Let p = s - 1. Solve -p = 3*h + 2 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((4 + sqrt(128))**2 - sqrt(128)))*3 + 2 + 3 + sqrt(128) + 2.\nAnswer: 176*sqrt(2) + 442","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-187)\/221 - (-6)\/(-39)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3933 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3.1 (b) -5\/3 (c) 34 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 d when three letters picked without replacement from {w: 2, d: 1, a: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -6*d**2 - 12*d + 45. Calculate p(6).\nAnswer: -243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -119 + 127. Let b(z) = 11*z - 71. What is the units digit of b(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/6 and 15\/13012582?\nAnswer: 39037746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 32 + -25 + (-4 - 0). Solve -7*r - i*b = -2*r - 5, 5*r = b - 15 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/(14616\/882)*6\/(-4)*-8?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1114942 is divided by 1114904?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**5\/2 - 88467*x**4 - 2476587*x**3\/2 - 2918712*x**2 + 353850*x + 3891624 = 0.\nAnswer: -58964, -11, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that h**3 + 11711*h**2 - 1312132*h + 1300420 = 0.\nAnswer: -11822, 1, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 672 and 35.\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = v + 2*w, -29*v + 28*v - 5*w = 16 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 186816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h + 2. Let x be i(-2). Let g be (-27)\/6*(-8)\/x. Suppose g*z = 2*z + 16. Solve -3*k = q + 16, z*q + q = 5*k for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 1 - 3)*(t + 0 + 0 + (4 - 2 + 0)*(-2*t - 1 + 1)).\nAnswer: -18*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - -2 - (4 + -2 - 3). Is 21 a factor of 2 - (-2)\/(p\/306)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2346, 2352, 2358, 2364?\nAnswer: 2370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 - -8. Let g = r + 12. Let q = g - 2. Sort -3\/5, q, -0.3 in decreasing order.\nAnswer: -0.3, -3\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -343 (base 5) to base 13\nAnswer: -77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2199 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -719 + 30332*x - 15165*x + 2373*x**5 - 15169*x wrt x?\nAnswer: 47460*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-38 - (4 - 35)) + (-1 - (-7 - -1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h - 1330 = 774. Let j = -191 - h. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.2424 + 7.06. Round o to two decimal places.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-14))\/((-2)\/14*9)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 2*x = -11, 7 = 11*r + 2*x + 78 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33*h*p**4 - 59*h*p**3 - 5*h*p**2 - 603*p**2 wrt p.\nAnswer: -792*h*p - 354*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20351*b**3 - 42684*b**3 - 86766*b**3 - b**2.\nAnswer: -109099*b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 451*j**4 - 7042*j**2 - 4822*j**6 - 2217*j**6 - 451*j**4 wrt j.\nAnswer: -844680*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 4*w - 6 = 0, -4 = -8*d + 6*d + 3*w for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/8563104 and -79\/4488.\nAnswer: 8563104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2 - 10*v + 12.\nAnswer: 2*(v - 3)*(v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 83220 and 3504.\nAnswer: 332880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28*x + 245 + 371 for x.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-2 - 6) - 1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2 - 1 + 4*f + 7*f**2 + 3*f**2 - 6*f**2. Is w(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, -3, -19, 2\/19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 - 15*g**2 + 5*g + 5. Let i be d(15). What is the greatest common factor of 30 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110100101010101111 (base 2) in base 4?\nAnswer: -310222233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/18*-2*-2. Suppose -3*o + 81 = 4*h, -2*h = -5*o - 46 - 27. Let f be 16\/h*2\/(-8). What is the nearest to 0.3 in f, -0.3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + i + 13*i)*(-1 - 2 + 5 + (-1 + 3 - 3)*(261 - 199 + 198)).\nAnswer: -3612*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 8*b + 23. Solve 4*n - 6 = b*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 - 5*b - 177. What is the remainder when 60 is divided by a(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000489928697 rounded to 6 dps?\nAnswer: 0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2190 - 269 + 4*d - 826)*(14 - 14 - 7*d) to f + q*d + p*d**2 and give p.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2753454201?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 379\/5 - 76. What is the nearest to -12 in 2, b, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -60, 350, -0.194?\nAnswer: 350","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l - 145. Let m(i) = -i - 73. Give 9*m(q) - 4*w(q).\nAnswer: -q - 77","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/12 and 107\/108?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-3) + 10\/(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 28 + 5?\nAnswer: 2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 + 13*k - 2\/3*k**2 - 1\/3*k**3 = 0 for k.\nAnswer: -8, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 + 15*q + 31. Let p be o(-2). Let y be (-9)\/(-6)*64\/24. Suppose p*d - 5 = -t, -3 + y = d. Solve 5*s - 2 - 3 = t for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) -0.079 (b) 13 (c) 1 (d) -0.5 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 11 = -3*u, 4*u - 8 = 5*t - 2*t. Let h be -7 - ((-96)\/30 - u). Which is the second smallest value? (a) 2\/33 (b) 2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-4)*(-14)\/(-3). Let a(l) = -2*l + 6. Let t be a(5). Let y = c - t. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 + 18*y - 24. Let g be d(14). Let c = g - 29. Let a(p) = p**2 - 9*p + 9. Let x be a(8). What is the highest common divisor of x and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - k - 14 = 0, 0 = 6*b - 2*b + k - 13. Suppose 0 = -4*h + 11 - b. Factor 1\/3*c + 1\/3 - 1\/3*c**h - 1\/3*c**3.\nAnswer: -(c - 1)*(c + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -348 - -350. Which is the nearest to 0? (a) 0.2 (b) 0.06 (c) -1\/11 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4440 and 1796424.\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n - 8. What is d(0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(171))**2 - (-1 + sqrt(684)))*-3.\nAnswer: -528 + 54*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rhkrkrkkhkph. What is prob of sequence hrp?\nAnswer: 3\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 - 12. Suppose -m*g - 4 = -169. Let a = g - 29. Solve -5 = 5*z - 4*t, 0 = -a*z - t - 3 - 22 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 11\/((-924)\/98)*(-6)\/56. Let l(j) = -j + 5. Suppose 9*n - 30 = 4*n. Let p be l(n). Which is the second biggest value? (a) u (b) p (c) -0.4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11587336 to the power of 1\/2, to the nearest integer?\nAnswer: 3404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(((d\/(d\/(d*d**24*d)))\/d)\/d*d*d*d))\/(d**(1\/6)\/d*d))**(-4\/3) assuming d is positive.\nAnswer: d**(314\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -6*t**2 + 37*t - 28. Let n be j(4). Suppose 5 = 3*f - 0*f + c, -8 = -2*f + 4*c. Solve -f*p = -2*v, -n = -5*v - 5*p - 74 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1288a43 (base 11) to base 15\nAnswer: 2dd89b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -163384, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.5 - 4.46. Let u = d - -0.16. Let v = 4 + u. Round v to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 233*m + 731*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -489*y + 138*y + 150*y + 43*y.\nAnswer: -158*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 0. Let g be h\/1 - (-2 - 0). Suppose -4*l = -g*u - 20, -3*u = -3*l + u + 17. Solve -3*c = l*p + 2 + 1, -6 = 3*p + 4*c for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1018753\/42 - 24260. Let b = -2\/25651 + -1898120\/692577. Find the common denominator of i and b.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 254.1859126 from 1231.\nAnswer: 976.8140874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 18 and 29 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4494677.\nAnswer: 11, 408607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 107a - 220?\nAnswer: 95a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5688 (b) 0.1 (c) 5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 349 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*s + 32*s + 1596. Let u = -391 + s. Calculate the greatest common factor of u and 116.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 + 21. Does 8 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/(-7) + 1320\/(-105)*-1541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*i + 170324 = -8*i. Does 18 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 684 + 0.63.\nAnswer: 684.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 s when three letters picked without replacement from vvvvvsvvsvvvsv.\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85257?\nAnswer: 3, 9473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of -2*h**6\/3 + 22*h**3\/3 - 25. Find the third derivative of t(a) wrt a.\nAnswer: -240*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -4*g**2 + 246*g - 3432. What is k(40)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 15. Let i(k) = -2*k + 3. Suppose -37 = 3*a - 2*v, -2 + 14 = -2*a - 5*v. Let c(y) = 6*y - 8. What is a*i(l) + j*c(l)?\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of -z**6\/45 + 2*z**3\/3 + 5. Let t(u) be the third derivative of f(u). Give t(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p - 2. Let r(b) = b - 1. Let x(d) = -3*r(d) + 4*w(d). Let o be x(4). Let s be -13*-7*(2 + o). Calculate the greatest common factor of s and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 854\/5031 or -1?\nAnswer: 854\/5031","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-52)\/(-234))\/(11\/9). What is the nearest to -0.2 in y, -13, 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of v**3\/6 + v**2 + v. Determine d(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -132506537*i*n**3 + 16*i*n**2 + 233*i + 2*n**3 + n**2 - 4311 wrt n.\nAnswer: -795039222*i + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 324 and 10748.\nAnswer: 870588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + d. Let j be b(1). Solve -5*m = -j - 13 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 3*a + 60 = -2*k, -5*k + 9*k - 34*a = 239 + 381 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 31 = 4*z, 0*z = 3*h + 4*z + 7. Solve n = h*p + 12, -1 = n - 4 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 4*x**3 + 3*x**2 - 2*x - 2. Let r be n(-3). Let p = 253 + -142. Let o = r + p. List the prime factors of o.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 7:04 PM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12.46 - 13.7. Let g = 1.64 + s. What is g rounded to 2 decimal places?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = v + 13, -l - 3*v = -5*v - 1. Let q = 351.5 - 351. Which is the nearest to q? (a) l (b) -3 (c) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ht when two letters picked without replacement from hhttuwhwhwuh?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/4)\/((-25)\/(-20)). Let s = 0.3 - 0.3. What is the nearest to s in -1, t, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2480 - -2503. Calculate the remainder when 769 is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*m + 0*m + m + (-4*m + m + 2*m)*(1 + 1 - 1) - m - 2 + 2 - 2*m + 4*m - 3*m - 35 + 0*m + 5*m + 37 + m - 3*m + 4*m as s + k*m and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4712 and 1829?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -u**2*w**2 + 3*u**2*w + 6644*u**2 + 2*u*w**2 + 5*u + 83*w**2 - 7*w wrt u.\nAnswer: -2*w**2 + 6*w + 13288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1141363, -2282726, -3424089, -4565452, -5706815, -6848178?\nAnswer: -7989541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -66, -5, 1\/8022?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 13, o: 6}. What is prob of picking 1 o and 2 d?\nAnswer: 156\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 5*f = 32. Let g = -9 + f. List the prime factors of g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 66\/9*(10\/(-3))\/(788\/(-1773)).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -345, 1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -22056, -42583, -63110, -83637, -104164, -124691?\n\"Answer: -20527*a - 1529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6360329 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of (-4 - 76\/(-16)) + 4795\/28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 22*b - 18*b - 9 = 0, 2*p - 14 = b. Solve -5*u = -2*g + 15, 0*u + 15 = 4*g + p*u for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2, -9, -20, -35, -54?\n\"Answer: -2*l**2 - l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39 + 3093*d**2 - 9*d - 3084*d**2 + 10*d)*(-d**3 + 0*d**3 + 4*d**3).\nAnswer: 27*d**5 + 3*d**4 + 117*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -0*f - 128. Suppose -3*j - 3 = -6*j + t, 15 = -5*t. Suppose 23*v - 20*v - 48 = j. Solve 5*b = -z + v, z - 5*z - f = -4*b for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fxxx when four letters picked without replacement from fxwwffffwxffx?\nAnswer: 7\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 2035 = -4*l + 449, -501 = -k - 5*l. Calculate the highest common factor of k and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3*l**2 - 47*l + 89. Let g be n(2). What is the remainder when 26\/g - (-6)\/21 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 2*w - 3*w)*(35932*w - 1 + 6 - 35945*w).\nAnswer: 13*w**2 - 5*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87 = 3*x + 5*x - 24*v + 31 + 18, 3*x - 40 = -4*v for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10748 (base 9) to base 16.\nAnswer: 1c04","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.3431, 4, -2.78?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -1 (c) 21 (d) -0.1 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (182\/6)\/(2886\/1332)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*y + 9 - 9)*(y + 0*y + 0*y) - 2*y + y**2 + 2*y + (-6 + 4 + 3)*(-y**2 + 1 - 1) - y**2 + 2 - 2 as c + a*y + d*y**2 and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in 4, 1.5, 0.8, -7\/5, 8\/5, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 5*z = -10, 1 - 5 = -2*z. Let q be (-3 - h)\/(6\/(-80)). Suppose -22 = -2*r + m, -r + 5*m = -6*r + q. Is 10 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14580161797 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x**2 + 140*x - 15. Give k(-73).\nAnswer: 423","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 23227*k - 119. Calculate r(0).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42378*p**2 - 14135*p**2 - 14112*p**2 - 14127*p**2.\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 967539761.\nAnswer: 59, 16398979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1268 - 899. What is the highest common divisor of k and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87.42163 millilitres to litres.\nAnswer: 0.08742163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 8*y + 81. Calculate p(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - 21033?\nAnswer: -21023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*2*6\/(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 18\/1*302\/42. Let m = -129 + f. Which is the closest to -0.1? (a) m (b) 2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 12634 = n + 2797, -4*w - 5*n = -9825. Calculate the greatest common factor of 15 and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1.5, -153, -1\/4?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 11826*h + 5901215. What is u(-499)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -0 + 8. Let u = -1 + h. Suppose -27 + u = -2*v. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 9*p + 2 - 36 - 7*p - p - 5*p. Calculate l(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2016) + 2*sqrt(2016)*-4 + sqrt(2016))\/((6*(sqrt(21) + sqrt(84)\/sqrt(4)))\/sqrt(3)) + 3 + -4.\nAnswer: -6*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 2 + 2 + (sqrt(1100) - -6*sqrt(1100)*2)*-6)**2.\nAnswer: -4680*sqrt(11) + 6692409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - 12*o**2 - o - 10. Let h be x(-12). Suppose -3*z + 5 = -h*z - 3*w, -77 = -5*z + 2*w. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-1*sqrt(114))\/sqrt(6).\nAnswer: 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 - 6*x + 8. Let s(p) = -p**2 + 6*p - 8. Let u(f) = 4*m(f) + 5*s(f). Let d(v) = -v - 2. Let z be d(-8). Give u(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 + 2 + 0)*(-6 + 2 + 3) - 2 + 4 - 4 + 2 - 1 + 0 - 4 + 6 - 4)*(l - 5*l + 2*l) to the form p + y*l and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -464*n = 492 + 6830 + 6598 for n.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2, -4, -16, -34, -58, -88, -124?\n\"Answer: -3*h**2 + 3*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w, 1 y, and 1 x when four letters picked without replacement from xxxxxwxyyxwwwyyx?\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -87 greater than -90?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-three quarters of a litre?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -3*r + p, -2*r + 6 = -2*p + 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 85 - 84.9999945. Round n to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o - a - 34 = 0, -5*o + 581*a - 35 = 583*a for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1187590589, -1187590590, -1187590591, -1187590592, -1187590593, -1187590594?\n\"Answer: -r - 1187590588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -438d4 (base 14) to base 10.\nAnswer: -163650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*y**3 + 10*y - 102*y + y**2 - y**2.\nAnswer: -47*y**3 - 92*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(-1)\/12)\/(4\/(-3)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/(-4))\/(9\/6)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 1:56 AM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13107952 a multiple of 442?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -216\/295 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 6:25 AM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1060, -1067, -1076, -1087, -1100?\nAnswer: -1115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2627432 is divided by 746?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -1682510.7?\nAnswer: 3365021.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.7*-716137\nAnswer: 501295.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-2*sqrt(95))\/(sqrt(5) + (sqrt(125) - (2*sqrt(125) + sqrt(125)))).\nAnswer: 4*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 619353017 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 - 104 = 5*i. Let k be (-4)\/(-10) - 2\/3. Is i less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (8 - 2) + -4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -6*z - 17. Let k = -457 + 282. Let j be 2400\/k - (-4)\/(-14). What is the units digit of h(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 9 + 23 - 2742714*z.\nAnswer: -2742714*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2892, 2953, 3014?\n\"Answer: 61*y + 2831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 192 and 132672.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 9*a - 3. Let k be g(6). Suppose 3*v - 7*y - k = -4*y, -3*v + 21 = 3*y. Suppose -o + v = -58. What is the highest common divisor of 10 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3283991954 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23*-19052.\nAnswer: -438196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152748 is divided by 125.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 22413547 (base 8) to base 16\nAnswer: 4a1767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475)*1 + -4 + sqrt(19)*1 + (sqrt(114)*-1*5)\/(sqrt(6) + sqrt(42)\/(sqrt(7)*-2)))**2.\nAnswer: 32*sqrt(19) + 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32 (base 5) to base 3.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -1.51?\nAnswer: 7.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -43 + (-125 - -127) + 129\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 2*k - 12 - 6, -3*y + 3 = 0. What is the remainder when (11 + -6)\/(-1) - -33 is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*u - 71*u - 186*u + 6263 + 3053 for u.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1132\/3, 3\/11, 3?\nAnswer: 1132\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 51 - 62. Let g = p + 10.854. Let w = -0.358 + g. What is w rounded to two dps?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -467 * -1.\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -1100101000100001011?\nAnswer: 1100101000100000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -45, -84, -121, -156, -189, -220, -249?\n\"Answer: g**2 - 42*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(3\/7)*s**3)\/((s**(12\/5)\/s)\/s*s*s**1))**35 assuming s is positive.\nAnswer: s**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 17543\/7 greater than 2507?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 827 + 414*b - 1642 + 815.\nAnswer: 414*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54279?\nAnswer: 3, 37, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h + 5*h - h**2)*(4 + 2*h**2 - 4) + (27*h - 37 + 37)*(3*h**3 - 4*h**3 + 0*h**3).\nAnswer: -29*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*3\/18*120\/(-15)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*j, j = u + u - 7. What is the second derivative of -2*s + 3*s + u*s**5 + 0*s**5 - 3*s**5 wrt s?\nAnswer: 60*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of 0*y**4 - 8\/15*y**5 + 15*y**2 + 0 - 3\/2*y**3 + 0*y. Differentiate u(b) with respect to b.\nAnswer: -64*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - 3*b + 3*b)*(-82 + 166 + 155).\nAnswer: 239*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*j - 18*j = -50 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -105061 (base 10) to base 4.\nAnswer: -121221211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*r - 58*r - 287 = 4*h - 44*r, -5*r - 278 = h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -414, -415, -416, -417, -418?\n\"Answer: -a - 413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 - ((11 - 23) + -1 + -3).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13890 and -0.1?\nAnswer: 1389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -33 + 21. Let c = -8 - u. Solve -c*d = 2*b + 16, -2*b = 2*b + 4*d + 12 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 8832336480183 and -0.25.\nAnswer: 8832336480182.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 + 19*t + 5. Let j be g(19). Suppose -5*v + 12 + 3 = 0. Solve -j*m - 3 = -2*c - 0, -v*c - 5 = 2*m for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(sqrt(72) - (sqrt(72) + sqrt(72) + 3*sqrt(72)))*5.\nAnswer: -5*sqrt(11)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-1 - (5 + -2))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 - 2*i**2 + 3. Let q be j(2). Suppose -q*v - 9 = -0*v. Is 15 a factor of (32\/(-3) - 3)*v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = x + 2119, 3*x - 676 = -3*m + 917. What is the remainder when m is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 193324?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 22 (b) 18 (c) 4 (d) 6\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -300*d**3 - 2*d**2 - 182*d + 2. Let k(r) = 598*r**3 + 4*r**2 + 371*r - 5. Let p(c) = -2*k(c) - 5*y(c). What is the third derivative of p(w) wrt w?\nAnswer: 1824","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 4*o, -4*d - 9 = -5*d + 4*o. Suppose 7*k + 68 = -4*h + 4*k, 0 = -4*h - 4*k - 64. Let u be 10\/h*d\/((-3)\/(-10)). Is u < 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1155656126 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*z - 2*z. Let y(p) be the first derivative of -5*p**2\/2 - 3*p - 34. Let n be y(-6). Calculate the highest common factor of z and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -201546980 to the nearest 10000.\nAnswer: -201550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*(3 + 0 - 42\/12). Let a(t) = 7*t - 15. Let i(z) = 1. Let j(u) = f*a(u) + 4*i(u). What is the first derivative of j(k) wrt k?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -133, -812, -2647, -6214, -12089, -20848, -33067, -49322?\nAnswer: -70189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yh when two letters picked without replacement from {v: 2, t: 6, e: 2, y: 4, h: 1}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 56*w + 95. What is k(-2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = 4*d - 13. Let b = -20 - -40. What is the remainder when d is divided by b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 500 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2304 divided by 4329\nAnswer: -256\/481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 885 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (16 - 14)) + -1 + (20 - 3)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 812068, 1624137, 2436206, 3248275, 4060344?\n\"Answer: 812069*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/sqrt(2)*4 + sqrt(99) + (sqrt(99) - (-1 + sqrt(99))))**2.\nAnswer: 14*sqrt(11) + 540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 449150 and 12610.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -x - 4*x - 42, 5*x - 10 = 0. Solve 8*f - z*f = -25 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -9*s. Let w(r) be the second derivative of 0 + s*r**2 + 1\/48*r**4 - 3*r + 1\/24*r**3. Factor w(i).\nAnswer: i*(i + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6389561 or 6389562?\nAnswer: 6389562","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a millimeter in micrometers?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) 0.0243 (b) -2\/37 (c) 0.5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.371 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*i - 163*i = -211035. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 4 + 6. Let k(f) = f**2 + 3*f - 5. Let y be k(-5). Let g be n\/y - 161\/(-35). Is g smaller than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 713717, 1427447, 2141185, 2854931?\n\"Answer: 4*u**2 + 713718*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -5*s + 19*s + 6*s + 6 + s. Let q(l) = -4*l - 1. Determine 11*q(z) + 2*w(z).\nAnswer: -2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 140 and 30.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1395 - 5*a**3 + 696 - a**2 + 2*a**4 + a**3 + 694 - a to k*a + t + z*a**2 + o*a**4 + m*a**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*r = -65*r - 257*r + 8069427. What is the thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 + 1)*1526\/8 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 - 23*o - 78. Let j be v(26). Suppose j = -3*k + 95 + 94. Let c = 15 - 8. What is the highest common divisor of c and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -111162?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 986?\nAnswer: 2, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -2*b + 121 - 321, -5*b - 5*h = 525. Let u be (-2655)\/118*(1 + (-51)\/(-5)). Let r = b - u. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 + 12*q - 4. What is m(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w. Let j(f) = f**2 - 17*f + 27. Let b(l) = j(l) - 4*k(l). List the prime factors of b(20).\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1400 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-100)\/(-6))\/(134\/388131).\nAnswer: 5, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -208306, 242, 5?\nAnswer: 242","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + n - 16 = 5*n, 2*n + 8 = 3*y. Suppose y*f - f = 75013. Let k = 24013 + f. Round k to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 44, 139, 294, 515, 808?\nAnswer: 1179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + 3 + -14 + 40\/5. Let z(x) = -3*x**2 + 7*x + 5. Let p(b) = b**2 - 1. What is l*z(v) - 4*p(v)?\nAnswer: -v**2 - 7*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**3 + 140*z**2 + 356*z - 2220.\nAnswer: -4*(z - 37)*(z - 3)*(z + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + -1 + (4 - -1). Let s be (-20)\/(-125)*u\/2. Let j = 0.06 + -0.46. What is the third smallest value in s, j, 1\/4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/(-15)*(-25 + 27). What is the third smallest value in m, -5, -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 b, and 1 p when three letters picked without replacement from pybzzb.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.6 - 13471.8.\nAnswer: -13476.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/6))**(-2\/61)*(y\/(y\/y**0))**(-4\/13))**15 assuming y is positive.\nAnswer: y**(-5\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -618623442 by 5.\nAnswer: -618623442\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2828 divided by -345\nAnswer: 2828\/345","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -282*a - 19. Suppose 21 = -8*i - 3. List the prime factors of y(i).\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2160005 is divided by 42339.\nAnswer: 716","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/33462647 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0, 0.16, -0.03, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 29\/5 of a second?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + (4 - 4) + 2. Suppose -2*a = -4*r - 6*a + 56, -2*r + a = -13. Let x be r + (-2)\/(-6)*-1*12. Calculate the greatest common factor of x and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggemegg. What is prob of sequence emg?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3234294 and 17949.\nAnswer: 579","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-36 + 9)\/((-1)\/5). Let a = c + -1253\/9. What is the common denominator of -103\/10 and a?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3 - 17189*a**2 + 73805232*a + 517479228.\nAnswer: (a - 8598)**2*(a + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of f**5\/10 + f**4\/3 + f**3\/2 - f. Let c be z(-2). Is 335\/15 + (-4)\/c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 69092 and 828.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 67 - 107. Let y = 29 + b. Let g(z) = z + 2. Calculate g(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -610 at least -609?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-8)\/16*(-8)\/(-54)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zpo when three letters picked without replacement from {o: 1, z: 9, p: 4, l: 1, h: 3}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 24 = -5*z, 3*s + 2*z - 1551 = 0. Suppose 5*r - s - 656 = 0. What are the prime factors of r?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 81*x = -80*x + 164*x + 21, 2*y = -443*x - 621 - 700 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3668 to the power of 1\/2, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5862, 2262, -1342, -4950, -8562, -12178, -15798?\n\"Answer: -2*v**2 - 3594*v + 9458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10574232 a multiple of 894?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -315 + 3504\/11. Let l = -40\/11 + q. Find the common denominator of (-621)\/(-165) - 4\/10 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 9 = -2*m + 1, 2*m - 4 = 0. Calculate the common denominator of 23 + 3\/g + 1 and (4\/(-18))\/(-2) - 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (8 - (2 + 4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from egeg?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.020552 + 36.067552. Let b = 0.047 - k. Let l be (-80)\/(-50)*10\/(-4). What is the third biggest value in -5, -3\/7, l, b?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.2 and 0.7721488?\nAnswer: 0.9721488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 9) + 283 + -252.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 111 = 5*v, -2*o - 2*v + 90 = -0. What is the remainder when o is divided by -2 - (-11 - -13) - -9*2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -3. Let l be 4\/c - (-4)\/(-8). Suppose -318 + 281 = -37*u. Is l != u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1681*l + 1955*l - 55032 - 155856 for l.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8aa (base 11) in base 6?\nAnswer: 5012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3620798.\nAnswer: 2, 23, 78713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -254 - -289. What is the first derivative of 21*p - p**2 + 167 - 2*p**2 + 21*p + p**2 + i*p wrt p?\nAnswer: -4*p + 77","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -11, 240.\nAnswer: -11, -7, 240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l + 9*l = 72. Suppose -4*f = g - 2636, 3*f - l*g + 6*g = 1972. Does 22 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -0.3, -2, -3, -506, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10.5 - 10. Let q be (-2)\/(-3) + 1\/(-1). Let o = -6.7 + 6.5. Which is the closest to q? (a) -2\/13 (b) v (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/91500 and 37\/42757950.\nAnswer: 427579500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3541900 and 1062570.\nAnswer: 10625700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 9:42 AM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g - 7. Suppose -5*b = -5*k + 55, -5*k = 5*b - 7 - 8. Let w be v(k). Find the third derivative of 5*p**2 + 5*p + 2*p**4 + w*p**2 - 5*p wrt p.\nAnswer: 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/27 - (-16)\/9. Suppose -a - 1 - 6 = -n*m, 3*a = -3*m + 6. Solve 5*i - 2*w - m*w - 20 = 0, -6 = 2*w for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5529366 divided by 59.\nAnswer: 5529366\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**4 - 2*n**2 + 2*n**2)*(4*n + 12 - 29 - 24).\nAnswer: -12*n**5 + 123*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 282834.\nAnswer: 282834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.060918 + -235415.060918. Let t = 235398.0041 + n. Let o = -17 - t. What is o rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.933736 nanograms?\nAnswer: 0.000000933736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u - 27. Let d(q) = 40 - 2*q - 8*q + 5*q + 7*q. Calculate 5*d(i) + 8*l(i).\nAnswer: 2*i - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4753 + 5658?\nAnswer: a1ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -3*v + 20, c - 4*v + 22 = 3*c. Let w be 3\/(-1*1\/c). Let n(k) = k**3 + 2*k**2 - k + 1. Give n(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of n**2*w**3 + 321*n**2*w**2 + 92*n*w**3 + 2*n*w**2 - 7*n - 91*w**3 wrt w?\nAnswer: 6*n**2 + 552*n - 546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 624 + -675. Let p be 3\/(-30) - 2\/(20\/m). Solve v - p = -10 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7 (b) -5\/6 (c) 17\/3 (d) -2\/5 (e) 38\/3 (f) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -0*h + 4. What is the units digit of 70\/h*(-42)\/(-35)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = -1216*u + 1215*u + 1, -45 = -11*u - 5*l for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 36 = -0*l. Suppose s + 2*d + l = 0, -6 = -2*s + 3*d - d. What is the units digit of (-2 + 3)\/((-1)\/s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o - 3. Let x = 6 - 6. Let z be y(x). Do z and -3 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -194? (a) 1\/4 (b) 5 (c) 0.4 (d) -1 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kekmwji. What is prob of picking 1 m, 1 i, and 1 w?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 916620590*y - 1257205558.\nAnswer: 916620590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-10)\/(-15) - (-257)\/(-66) and -107\/44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9 minus -61785149017?\nAnswer: 61785149016.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 3)*(-2*l + 3*l + l) + (2 - 4 + 0)*((-l + 3 - 3)*(0 + 5 - 3) + 246 - 246 + 33*l).\nAnswer: -66*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 + 3*o + 1. Let s be x(-3). Let h = 1.6 + -1.8. Is s <= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26 or 616\/23?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6468\/(-686) + (-6)\/(-14). Let q(v) = v**2 + 5*v - 10. Let f be q(-7). Sort f, 5, -4, m in descending order.\nAnswer: 5, f, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10020 (base 5) in base 13?\nAnswer: 39b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 11.91476 and 0.426079.\nAnswer: 12.340839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - -7. Suppose 0*o = 5*o - 285. Let y = 99 - o. Calculate the smallest common multiple of a and y.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1788?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*w + 8*w - 1430. Let p be w\/(-33)*(5*-3)\/1. What is the smallest common multiple of 15 and (-1)\/4 + p\/(-8)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - (-3 - -3))*32. Suppose -4*z + 6*q = q - 19, 2*z = -2*q + u. What is the third derivative of 3*w**2 + z*w**2 + 3*w**5 - 20*w**2 wrt w?\nAnswer: 180*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 288 = -0*w - m, -288 = -3*w + 2*m. Let a be 12\/18*(0 + w). Suppose -2 = -2*y + a. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 248*i**5 + 3*i**4 - i**2 - 223073*i - 1 wrt i.\nAnswer: 4960*i**3 + 36*i**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 299860.\nAnswer: 299860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {a: 5, z: 2, g: 5}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11125548 and 28084.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -230, -543, -1074, -1823, -2790, -3975, -5378?\nAnswer: -6999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*k - 15*j + 12*j + 6, k + j - 6 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) -5 (b) 0.2 (c) 0.32346\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 582301 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 5*c - 6, -j + 2 = -0*c + 4*c. Suppose c = 5*o + 4*k - 1183, 3*o + 469 = 5*o + 3*k. Is o*(-4 - 5\/(-1)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -10. Suppose 5*t - 2*w - 5 - 22 = 0, i*t + 5*w = 15. Suppose 2*l - 4*l + t = -3*f, 5*f - 50 = -5*l. What are the prime factors of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 2*y - 13 = 5*b, -4*y - 11 = b. Let s(u) = 5*u**3 + 5*u**2 + 5*u + 5. Let m(f) = 2*f**3 + 3*f**2 + 3*f + 3. Determine b*m(r) - 3*s(r).\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*a**2 - 253*a + 6*a**2 - 319*a + 572*a + 1270*a**3.\nAnswer: 1270*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 142475 - 569897\/4. Factor 27\/2 + r*y**2 + 33\/4*y.\nAnswer: 3*(y + 2)*(y + 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1\/29649 - -7708729\/326139. Let i = 2479\/110 - w. Find the common denominator of 97\/14 and i.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, b: 7}. Give prob of sequence bppp.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lz when two letters picked without replacement from elleezezelz.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of 2*g - 2\/3*g**3 + 0*g**2 + 3. What is the derivative of r(n) wrt n?\nAnswer: -4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18.08 + -23.08. Let g = 12 + -8. What is the third biggest value in -2, g, k, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2. Suppose -11*x - 10 = -21. Determine r(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.3 (b) -260 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 171898560*a**4 - 273150170 wrt a?\nAnswer: 687594240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 56 - 57. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3120 - -3169)\/(6\/(-10) - (-8)\/(-20)).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 10, 0*f = -2*h + f + 67. What is the remainder when 121 is divided by h?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.06946 + -5.06946. What is the biggest value in 1, a, -2\/17, -2\/15, 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200 is divided by 21?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 11*p**3 - 3*p**2 + p + 1. Let n be h(1). Is 457\/((5 - n) + 6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - c + 701, -3*c + 4*c = 2*k - 349. List the prime factors of k.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 3*j**2 - 28*j**2 - 9*j**3 - 10*j**2 - 2*j + 14*j**2 to w*j**2 + k*j**3 + i*j + z and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 58*s**2\/13 + 3550698*s\/13 - 244876\/13.\nAnswer: 2*(s + 61219)*(29*s - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/((-30)\/36)*(-20)\/24. Let t(r) = 2*r - 4. What is t(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 50\/29733 and 127\/430254.\nAnswer: 7314318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(57)\/(sqrt(108)*1).\nAnswer: sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 631059920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 6000?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8850, 76545, 261874, 623655, 1220706, 2111845, 3355890?\nAnswer: 5011659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 311.33 from -2.\nAnswer: -313.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 387*x - 30377 + 7994 = -836*x + 394*x for x.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9*l**2*m**2 - 21777*l - 2*m**2 - 2893277 wrt l?\nAnswer: 18*l*m**2 - 21777","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*u + 2. Let h(y) = 11*y + 1 + u - 5 - 2*y. Calculate h(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000366 to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -13033123 (base 4) in base 9?\nAnswer: -44614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 9) to base 7\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 37960 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 66807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(-4))\/((-16)\/(-8)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*l - 2 + 59*l - 32*l as u + o*l and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1930*i + 1929*i - 5791*i + 4*i**3 + 1932*i.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 4 + 3)*(-2 + 2 - 2)*(79*q**2 - 4*q**2 + 242*q**2)*(0 + 1 + 0) to a*q + m*q**2 + u and give m.\nAnswer: -1268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 7*c = -5*c - 78, 3 = -3*c. What is the lowest common multiple of 32 and x?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 922154.3 millilitres?\nAnswer: 922.1543","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*y + 9*y + 14*y**3 - 16*y.\nAnswer: 14*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**3\/4 - 3130*m**2 - 31425*m.\nAnswer: 5*m*(m - 2514)*(m + 10)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12.43907 years to months.\nAnswer: 149.26884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2448) - (sqrt(2448) + -1))**2 - 3*sqrt(1700)) + -3 + 3.\nAnswer: -30*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -400, -1614, -3644, -6490?\n\"Answer: -408*x**2 + 10*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(242) - (sqrt(242) + 3*sqrt(242))) + sqrt(242) + 5 + -1*(2 + sqrt(242) + sqrt(242)) - (4 + -1*sqrt(242)*-1*3)))**2 + -3.\nAnswer: 154*sqrt(2) + 11856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22689 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30204510 by 14.\nAnswer: -2157465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by ((-6)\/(-9))\/(12\/306)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 12:12 PM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**11\/(j**(1\/12)\/j))**(-31))**(-1\/65))**(-40) assuming j is positive.\nAnswer: j**(-682\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 96 and 3194312?\nAnswer: 38331744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38609241?\nAnswer: 3, 11, 37, 103, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16365, 131040, 442395, 1048800, 2048625, 3540240, 5622015?\nAnswer: 8392320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 3*s. Suppose 2*v - 15 = -v. Let g(n) = 3*n + 2*n - 3*n**2 + 2*n**2. Let i(a) = v*q(a) - 3*g(a). Let t(c) = 2*c. Calculate i(t(l)).\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 223440 by -12.\nAnswer: -18620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 5, -2\/15, -0.856313?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2419000 rounded to the nearest ten thousand?\nAnswer: 2420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(4 + (-1*2*sqrt(2299) - sqrt(2299))) + 2*-4*sqrt(2299) + (3 + sqrt(2299))*6)*2)**2.\nAnswer: 3696*sqrt(19) + 450748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -32\/5*b + 4\/5*b**2 + 32\/5*b**3 - 4\/5*b**4 + 0 = 0.\nAnswer: -1, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10095*o**2 + 10676*o**2 - 1 + 1.\nAnswer: 581*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**4 + 3*v**4 - 2 - 2*v - 4*v**4 - 2*v**3 to w + q*v + o*v**4 + y*v**3 + u*v**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.7 in 0.4, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/10308 - -177145\/1968828. Find the common denominator of m and -35\/1719.\nAnswer: 3438","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t + 3. Let x be g(-1). Let z(n) = -n**3 + 6*n**2 - 3*n. Let r be z(x). Find the second derivative of r*h**3 - 1 + 7*h - 2 + 3 wrt h.\nAnswer: 60*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*r + 14*r = -10*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 277\/5 or -1.3?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32649 + -20373. Calculate the highest common divisor of 297 and g.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1218.9 - 3188.3. What is o rounded to the nearest one hundred?\nAnswer: -4400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 264*h = 260*h + 16 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5868694.\nAnswer: 2, 13, 97, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -2*x + 5, 2 = x - 0*j - j for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 219892657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 29741375.59 to the nearest 1000.\nAnswer: 29741000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 639936 and 144.\nAnswer: 639936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 + 30*u**2 - 34*u + 146. Suppose -k - 11*f = -12*f - 24, 73 = 2*k + 3*f. Let n be t(k). Solve -n + 27 = 13*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -253*d**3 - 241*d**3 + 78*d**3.\nAnswer: -416*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 172734 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 92 + -94. Let t(y) = 10*y**2 - 6*y - 7. Let q be t(i). Determine j so that -23*j**2 - 10*j**4 - q*j**3 - 15*j - 14*j**2 - 13*j**2 = 0.\nAnswer: -3, -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -21, -1 in descending order.\nAnswer: -1, -4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1017 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-3))\/(3\/36*4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2232 and 1956.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*b + 282 - 270 = 4*p, 11 = -3*p + b for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-14*y + 77*y - 11*y)*(-4 - 1 + 4) - 21*y + 36*y + 21*y)*(5 - 5 - 4*y**2) to the form j*y**2 + c*y + t*y**3 + i and give t.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 27\/36*-1*4. Let f be 6\/1 + (3 - (-9)\/i). Does 9 divide ((-60)\/(-8) - f)\/(1\/30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30\/4*(-101)\/(-30300)*-15\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - i**4)*(-50*i - 59*i - 276*i)*(-2 + 4 - 1).\nAnswer: 385*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1404)*-3 - sqrt(1404))\/(3*(6*sqrt(15)\/sqrt(5) + sqrt(3))).\nAnswer: -8*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**6*x*x\/(x*x**(-5)))**47 assuming x is positive.\nAnswer: x**564","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0\/3 - 0)\/(-2). Suppose k = y + 2*y - 3. Let o be y\/30*12\/(-9). Which is smaller: -1 or o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-11))**(1\/8) assuming h is positive.\nAnswer: h**(-11\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 850 divided by 85?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 3)*(-622*h**3 - 615*h**3 - 409*h**3 - 435*h**3 - 92*h**3).\nAnswer: 2173*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -h + 389, -16*h + 13*h - 4*a = -1232. What is the tens digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + (2 - 1) + 2. Suppose i = -3*n - 3*l + 53 + 22, 0 = -l + 5. Suppose 3*s = -4*b - 222 + 250, 3*s + 8 = 5*b. Solve 0*o = -b*o + n for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f*y**2*z**2 - 595*f*y**2*z + 2*f*y**2 + 20*f*z**2 - y**2*z**2 - y**2 wrt z.\nAnswer: 2*f*y**2 + 40*f - 2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v**2 + 3*v - 631. Let b(d) = -3*d**2 - 4*d + 622. Give -3*b(z) - 4*t(z).\nAnswer: z**2 + 658","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*z + 20*z + 30 = 0. Let t = 3 + -1. List the prime factors of (-3)\/z*t - -24.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = j - 18, 5*j + q = 2*j + 10. Suppose 42 + 58 = 5*m - j*r, 3*r = 2*m - 51. What is the least common multiple of m and 1*3\/3*(5 - -17)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444406 to the power of 1\/2, to the nearest integer?\nAnswer: 667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, -0.104, -0.2, 3\/7, -82.\nAnswer: -82, -0.2, -1\/8, -0.104, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2723393*a*f + 4141262*a + 17*f + 3 wrt f?\nAnswer: -2723393*a + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2980\/(-296)*(-116)\/120. Let z = 2\/111 + q. Let g = -1364 - -10929\/8. What is the common denominator of z and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 2*f - i, -2442*f + 2446*f - 4*i - 16 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00062 rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((-2*sqrt(55))\/sqrt(11) + sqrt(320)*-1) + (-1*sqrt(3630))\/(sqrt(726)*1))*1.\nAnswer: 19*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*f + 348 - 348 to the form s + t*f and give t.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 205.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -9 in ascending order.\nAnswer: -9, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00063903306 to five dps.\nAnswer: 0.00064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7330387 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 95*y**4 - 56070*y**3 - 403700*y**2 + 3925830*y - 6637995 = 0.\nAnswer: -13, 3, 11347\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3, -4, -1, -73, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 0 - (14 - 11) - (-1 - 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.32 (b) -55 (c) -2\/3 (d) -71 (e) -5 (f) 0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12144 and 12282.\nAnswer: 1080816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 5*s**2 + 3*s - 1. Determine r(2).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 501 + 123?\nAnswer: 1024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 273843261 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 294086?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of -z**7\/2520 + z**5\/120 - z**4\/12 - z**2. Let q(l) be the second derivative of a(l). Factor q(i).\nAnswer: -(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dgddmmdmmmmqaqmadg. Give prob of picking 2 d and 1 a.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1228 a factor of 47099940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, 2\/5, 25, -4, -0.5, -59?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-4))**23*(r**(2\/93)\/r)\/r**(-14) assuming r is positive.\nAnswer: r**(-7345\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*n + 2 + 5*n**3 - 6*n**3 + n**2 + 16*n - 20*n to v*n + s*n**3 + p + c*n**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.09 and 0.1119994 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02654 times 837.7?\nAnswer: 22.232558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 + r + 4. Let i be f(-3). Let m be 38\/i + 2\/10. Is 31\/(2 + (3 - m)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/2*16416\/1368*5\/(-78).\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13472 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13417, 3\/5, -2\/3, -9, -0.2 in ascending order.\nAnswer: -13417, -9, -2\/3, -0.2, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 5 = 4*c - 25, -4*c + 144 = -7*p + 124 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 4*f + 2*f - 10, 4*m - 8 = -3*f. What is the remainder when m is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3104606, -3104607, -3104608, -3104609, -3104610?\nAnswer: -3104611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2242889 to the nearest integer?\nAnswer: 1498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 50*c - 5. Let l be h(-8). Let b = l + 252. Calculate the common denominator of 89\/10 and (-1)\/(30\/b) + 1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 62320385?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 565501550.\nAnswer: 2, 5, 89, 127079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 2*m + 153. What are the prime factors of m?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l**2. Let c(a) = -199269470*a**2. Determine v(c(f)).\nAnswer: 79416643348161800*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*j + 46*j = 127*j - 25*j - 1150 for j.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 + 1078*r + 14792. What is z(-14)?\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, x: 7, g: 10}. Give prob of sequence xg.\nAnswer: 35\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 230091492, 460182986, 690274478, 920365968, 1150457456?\nAnswer: 1380548942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 6*l - 1. List the prime factors of c(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.061, 2\/101, 2\/5 in descending order.\nAnswer: 2\/5, 2\/101, -0.061","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 445\/237373?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 147525 to the nearest integer?\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4446078 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one fifth of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49 - (-18 - (-17 + 19)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/8*((-51)\/6)\/17?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -38 + 18. Suppose 2*i + 2*u + 2 = 16, i + 2*u - b = 0. Suppose -4 = -i*f + 4. Solve -4*x = 4*n - 12, -f*n - x + 7 = 2*x for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(5\/6)\/(h*h**(-1)))\/((h*h**(1\/16)*h)\/h**(-15)) assuming h is positive.\nAnswer: h**(-779\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.52 and -191?\nAnswer: -99.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 2*n - 74 = 4*p, 4*n - 5 = p. Let r = -9 - p. Factor 6*k**4 - 3*k**4 - 5*k**3 + r*k**3.\nAnswer: 3*k**3*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -355 - -378. Is 4 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -651*d - 1715*d + 94*d - 37*d - 302*d.\nAnswer: -2611*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 129\/94 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 196*r + 5*r**3 + 205*r - 427*r in the form b + n*r**3 + j*r + f*r**2 and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -22*i**2 + 2*i + 1. Let g be o(-1). Let t = g - -24. Suppose 42933876 = 2*b + 2*n + 4533878, t = -n. Round b to the nearest 1000000.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2034 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 l(r) = 2*r**3 + 13*r**2 - 9. Let u be -1*(-3)\/(-4)*(-4)\/(-1). Let n(z) = -z**3 - 7*z**2 + 5. Let a(j) = u*l(j) - 5*n(j). What is a(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6733 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15087?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121)\/sqrt(176) + 2)**2 + -1 + 5*(sqrt(11)*1 + sqrt(11)).\nAnswer: 59\/16 + 11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 AM and 5:43 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of 5*v**2 + 1\/40*v**5 + 0*v**3 + 1\/8*v**4 + 0 + 0*v. Factor s(b).\nAnswer: 3*b*(b + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 - 15*l**2 - 23*l + 115. Let y be r(16). Sort 2, y, 11 in decreasing order.\nAnswer: 11, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 2*v + 10 = 0, 2*m = 4*v - 0 - 4. Let n be (32\/(-3))\/(-8)*(m + -1). Solve -n = -3*y + s, -4 = -2*s - 0*s for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) 1.7 (c) 1 (d) -5 (e) 0.5 (f) -7\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 4) to base 2\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 515063?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x + 8 = -7*x. Suppose -z + 16 = x. Suppose 0 = 5*j + 2*l - z - 14, 0 = -3*j - 4*l + 28. Solve 11 + 9 = j*s + 5*i, -5*s = -3*i - 25 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (99 - 15 + 14)*(j - 3*j - j).\nAnswer: -294*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*c + 10. Suppose 0 = 9*o - c*o - 56. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2736 - -2780 - (0 - -29)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1209*h + 3698*h + 67444 = -27138 for h.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 AM and 8:40 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 9106*j. Let r(u) = u**2. Calculate n(r(o)).\nAnswer: 9106*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/4 + 559\/(-26) + 20?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 - 2. Let n = 2 - 2. Let d be x(n). Let w = 1.1 - 1. Which is the nearest to w? (a) -1 (b) 0.2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 - -60. What is the remainder when 1224 is divided by n?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 248*g - 231*g - 68765 = 0. What are the prime factors of g?\nAnswer: 5, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 + 7*m + 3. Let r be k(6). Find the third derivative of -107*s**4 - 99*s**4 - r*s**2 + 217*s**4 wrt s.\nAnswer: 264*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*j*m**4 - 3*j + 3*m**3 - 115*m**2 + 505 wrt m.\nAnswer: 24*j*m**3 + 9*m**2 - 230*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeel when four letters picked without replacement from {l: 1, f: 6, e: 3, w: 4, i: 1}.\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, 233, 674, 1291, 2084, 3053, 4198?\nAnswer: 5519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/56)\/(3\/(-12))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 231934756\/95973 + -2\/31991. Let u = -2441 + n. Calculate the common denominator of 65\/9 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of u**8\/56 + 81*u**5\/10 - 641*u**4\/4 - 1396*u**2. Find the second derivative of w(y) wrt y.\nAnswer: 120*y**3 + 972","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 102 by 51.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8093417659?\nAnswer: 31, 261077989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.154 + -7.146. Let q = -7 - b. Let j = 1 + -0.9. What is the nearest to j in 0, q, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 10340 = -4*l, 5180 = -2*n - 0*l - 3*l. Let y = n - -20659\/8. Calculate the common denominator of y and -1\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eal when three letters picked without replacement from {l: 1, a: 1, e: 1, f: 1, k: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -112, 0, 4\/9, 4, -21214?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(1008)*-4)**2 + (0 + sqrt(14)\/sqrt(72))*2.\nAnswer: sqrt(7)\/3 + 96768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((12\/(-14))\/((-2185)\/161 + 9))\/(3\/8)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10 - 2) + -2 + 1. Find the third derivative of 7*k + 2*k**2 - a*k + k**3 wrt k.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 25 + -2d97?\nAnswer: -2d72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06 * -874.388.\nAnswer: 52.46328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-5) + (-1316)\/(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (43677\/(-690) + 64)\/((-7)\/(-1)).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of -t**7\/21 + 2*t**6\/15 - t**4\/3 + t**3\/3 - 20*t. Factor j(m).\nAnswer: -2*m*(m - 1)**3*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -6*l - 2. What is the remainder when (-17 + 6)*l\/2 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 less than 80?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-216)\/(-756))\/((-4)\/(-14)))\/((-3)\/33).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 64 = -328. Let t = 63 + n. List the prime factors of -3 + (-6)\/t - (-1 - 48).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 24387 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y**2 - 50*y. Let f(d) = -266*d. Determine f(w(j)).\nAnswer: 532*j**2 + 13300*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ybyyybytytyf. What is prob of picking 2 b?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10541103 to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3173, -2916, -2659, -2402, -2145, -1888?\n\"Answer: 257*z - 3430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004058642 rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(147) + -4*sqrt(147)*-4 + 5 + 5)**2.\nAnswer: 1904*sqrt(3) + 42547","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3. Let y(c) be the second derivative of -c**5\/5 + c**3\/6 - 3*c**2\/2 - 74*c. Give -3*g(u) - y(u).\nAnswer: u**3 - u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3912*j**3*s**2*x - 2*j**2*s**2*x - j**2*x - j*s**2 - 7*j*x wrt j.\nAnswer: -23472*s**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3*g = -4, -37*g = -41*g + 12. Calculate the remainder when 86 is divided by w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3459357 and 198?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 6 = 2*w. Let j be (-2)\/7 + 2\/w. Solve j = -t - 4*t - 15 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76 = -19*i - 57 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a hour in minutes?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 193481 to the power of 1\/2, to the nearest integer?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 - 6*l**2 + 6*l - 5. Let m be x(5). Suppose p - 64 - 17 = m. What is the third derivative of p*y**3 - 2*y**2 - 81*y**3 - 12*y**6 wrt y?\nAnswer: -1440*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 284, 241, 198, 155?\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/x**2*x**6)**(-4\/7) assuming x is positive.\nAnswer: x**(-24\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -35*m - 79. Let t(o) = 10*o**2. Calculate t(f(l)).\nAnswer: 12250*l**2 + 55300*l + 62410","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -99 - 36. Suppose -w - y = -4*w. Let d = 78 - w. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 6 - (45 + 10 + -34)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 4354679115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yrqyrqrrsyryr. Give prob of picking 2 q and 1 s.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2465.7656 * -0.2.\nAnswer: -493.15312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2152710?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one quarter of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (15\/15)\/(7\/(-70))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -12*l**2 + 0*l - 6*l**2 + 9*l**3 + 11*l**2 + 7*l. Let o(i) = 5*i**3 - 4*i**2 + 4*i. Suppose -12 + 4 = 2*g. Give g*d(n) + 7*o(n).\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7171 + 7163. Which is the third smallest value? (a) 3 (b) k (c) 1 (d) -1 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -3*g + 12. Let a be d(4). Suppose 2 = 2*m - 2. Let w = m + a. Solve -w*y + y + 1 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**2 + 0*k**2 - 3*k**2 + (-2 + 2 + 5*k)*(-5*k + 6*k - 5 + k) + 0*k**2 + k**2 - 3*k**2.\nAnswer: 7*k**2 - 25*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 15744 to the power of 1\/2, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-536)\/(-6))\/(6\/9). Suppose 0 = 2*y - o - 20, 0*o + 2*o = -y + 20. Calculate the remainder when p\/6 - 4\/(-6) is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 0.2 (c) 0.4 (d) 0.1064\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 142.42 rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3*y**3 + 160*y**2 - 1571*y - 18. Determine n(13).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a century in months?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -52*j**3 - 1696*j**2 + 660*j.\nAnswer: -4*j*(j + 33)*(13*j - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**4\/4 + 27*z**3\/4 - 97*z**2\/2 + 42*z = 0. Calculate z.\nAnswer: 0, 1, 12, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -21*g - 24. Let i(p) = 5*p + 6. Let q(c) = -2*b(c) - 9*i(c). Suppose -2*a = 2*a + 24. What are the prime factors of q(a)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 o, and 2 a when four letters picked without replacement from {d: 1, a: 2, o: 1, j: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 16712 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 - 27*z + 156. Let v be u(16). Let s be (4\/v)\/(1\/(-10)). Solve -s*k + 9 = k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9531?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 86017 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 u when three letters picked without replacement from {q: 1, d: 1, s: 2, z: 4, u: 11}?\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 160 - 190*v**4 - 69*v**4 - 243*v**2 - 245*v**2 + 488*v**2 wrt v.\nAnswer: -1036*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 7583 (b) -17 (c) 0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fourty-five eighths of a milligram?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 5*s - z, -s = -2*z - 0 - 7. Sort 5, s, 2 in ascending order.\nAnswer: 2, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 574 is divided by 312?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 5*b - 25. Is m(11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 208 = 2*g. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/16 - 42\/(-8). Let j(f) be the first derivative of -f**2\/2 + 11*f - 82. Does 4 divide j(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3621 bigger than -3532.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -16 + 2*p**4 + 11*p - 7*p - 5*p in the form i*p**3 + b*p + z*p**4 + a + r*p**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2237911 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of u**7\/504 + u**6\/36 - 2*u**5\/15 - u**4\/2 + 22*u**2. Let g(b) be the second derivative of r(b). Is g(15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 3, 1, -2\/5, 3\/20?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 + 5*q**2 - 4*q**2. Suppose 2*l - j + 5*j = 6, 19 = 4*l + j. Let n(u) = -l*u**2 + 5*u**2 - 5*u**2. Determine o(n(s)).\nAnswer: 50*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - -3) + 3 + 1 - -2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1881 is divided by 41?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, t: 17}. Give prob of picking 2 t.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/9)\/(a\/(a*a**5)))\/((a\/(a*a**(1\/3)\/a))\/a)**(3\/14)*(a**(-2\/7)*a**4)**(-8) assuming a is positive.\nAnswer: a**(-3133\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 58744610*t**4 - 2*t**2 - 18636732 wrt t.\nAnswer: 1409870640*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 21*w**3 - 30*w**2 + 2. Let f(o) = -21*o**3 + 31*o**2 - 3. Let c(v) = 2*f(v) + 3*z(v). What is the third derivative of c(t) wrt t?\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**2 - 2*v**2 + v**2)*(-v + 2*v**2 - v**3 + v)*(9 + 14 - 26 + (0 - 1 + 0)*(3 + 2 - 4))*(-10 - 41 - 26).\nAnswer: 616*v**5 - 1232*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 e when two letters picked without replacement from toeov.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 2:26 AM?\nAnswer: 11:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-2))**(9\/13))**50 assuming j is positive.\nAnswer: j**(-450\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aq when two letters picked without replacement from gnanqnmna?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3482834 and 213.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14283456?\nAnswer: 2, 3, 11, 6763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of 48053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 135 + -95. Let p = -40.091 + g. Round p to two decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-33)\/(-5) + (-6)\/(-15). Solve 3*a = -x + 10 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -v + 10. Suppose 26 = v*n - 2*x, 2*n = 7*n - 3*x - 29. What is the first derivative of 1 - q**4 + q**4 + 4*q**4 - n wrt q?\nAnswer: 16*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 4*s + 6 = -2*q, 4*q + s = 6. Suppose 2*b + 12 = -4*p, p = 2*b - 14 + q. Put 5, 3, p in decreasing order.\nAnswer: 5, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**4\/13 + 122*h**3\/13 + 2030*h**2\/13 + 5046*h\/13.\nAnswer: 2*h*(h + 3)*(h + 29)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 15?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-985*v**2 - 2486*v + 2486*v)*(1 + 0 + 0) to j + n*v + y*v**2 and give y.\nAnswer: -985","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -594*v + 584*v + 10 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -68*r**2. Let m(c) = 3 - 3 + 15178*c**2 - 15176*c**2. Calculate m(l(a)).\nAnswer: 9248*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fzl when three letters picked without replacement from {m: 1, l: 4, f: 1, g: 3, h: 1, z: 4}.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + 31640161?\nAnswer: 31640154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 smaller than -26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 - -24976?\nAnswer: 24970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126322448.\nAnswer: 2, 7, 179, 6301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 2 + sqrt(272) + -1 + sqrt(272) + (-4*-1*sqrt(272))**2 + 3.\nAnswer: 8*sqrt(17) + 4351","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2359 is divided by 2344.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j = 7*j. Let m(w) = w + 2. Let x be m(j). Differentiate -x*v**4 + 2*v**4 - 3*v**4 - 1 wrt v.\nAnswer: -12*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 1\/894?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 208*g + 75*g + 6481 - 15477 = -63*g for g.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -692*r + 9120 = 25036 for r.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 + 3*j + 1. Let u be r(-4). Suppose 7*o - 16 = u*o. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/3*16\/(-16)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/15, 0.01, -21, 1\/4, 149, -0.1, -6?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 286441 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -219, -9, 2, -3?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-3 + (sqrt(44) - sqrt(3564)*-1))**2.\nAnswer: -120*sqrt(11) + 4413","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (7 - 1)*(-3 - -11 - (-647691)\/22) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1118560 (base 9) to base 3\nAnswer: 1010122122000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l + 1. Suppose 0*j = j - 4. Suppose j*x - 16 = 8*x. Let v be 0*(-1 - 0) + x. Determine s(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/5)\/((-18)\/((-5670)\/21)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = 4*h + 3*o, 3*o + 6 = o for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -5295348 smaller than -5295305?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -217, -197, -149, -61, 79?\n\"Answer: 2*v**3 + 2*v**2 - 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -131\/7105 - 2\/1015. Let f be (18 - 32)*(-2)\/28. Is y > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/22*-1*3\/(-9)*-4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 3*n - 13 = 3*t, n = -2*t - 7 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/(-6))\/(3\/(81\/(-6))). Let g(f) = 2*f - 1. Calculate g(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x. Let p(o) = o**3 - 2*o**2 - 5. Let m be p(3). Let y be (m\/(-10))\/(14\/(-15) + 1). What is j(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.1 - 0.6. Which is the fourth biggest value? (a) 5 (b) 3 (c) o (d) 1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-7)*(q*q**(1\/7))\/q*(q**0)**(-44))\/((q**(2\/7))**(-4\/19)\/(q*(q**0\/q)\/q*(q**(-5\/2)\/q)\/q)) assuming q is positive.\nAnswer: q**(-3271\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*5*(-5*sqrt(1944) + sqrt(1944) + sqrt(24)))\/(sqrt(300)*-1 - sqrt(48)\/(sqrt(4) + (sqrt(4) - sqrt(64)))))**2.\nAnswer: 245000\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 1. Let g(p) = 34*p + 6. Calculate -g(q) + 2*u(q).\nAnswer: -34*q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*t = 74*t - 69584. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5.929526 millennia?\nAnswer: 71154.312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 + 10*d - 4. Let x = 319 - 310. Give s(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 334 - 338. Let t be 464\/24*(-6)\/f*1. Calculate the greatest common factor of 29 and t.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 6 + 18 = 5*s, 9 = 3*t + 2*s. Let n = -4777.1 - -4775. What is the closest to t in n, 5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 32\/2 - (-8 + -11 - -11).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*y + 2. Let k(h) = 3 + 16*h - 18*h - y. What is k(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-18)\/36)\/((-2)\/(-8)). Let y be o + (-13)\/(-3) + -3. Let g = 0.2 - 0.4. Is y smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/504455 and -3\/58.\nAnswer: 1008910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0120999 to five decimal places.\nAnswer: -0.0121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -69*c**3 + 4*c**2 + 4*c - 2. Let m(x) = -70*x**3 + 5*x**2 + 5*x - 5. Determine 5*l(t) - 4*m(t).\nAnswer: -65*t**3 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((-6)\/110)*(-55)\/275.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/3)\/(4\/94). Let p(l) = 5*l + 10. Let k be p(-5). Let f = z - k. Which is greater: -1\/5 or f?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 8*k = 3. Let r = -4 - k. Is (-2 - r)\/((-2)\/(-442)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {r: 5, h: 1, f: 1, l: 9}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 719505 and 990.\nAnswer: 15829110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -5*p - 7, 2*p - 2*a - 8 = -4*a. Let y be p + 1 + 2 + 56. Let f = y - 29. Calculate the common denominator of 93\/8 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 532?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 58733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 5*z - 6. Suppose -153*u - 12 = -159*u. What is o(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 - -18.5. What is the nearest to 1 in 0.4, d, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -39 greater than or equal to 686965?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76\/266*28\/4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16 - 7 - (1 - 4). Let y = 38 - r. Let g be 0 + y\/22 + -1. Is g >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 205 - 526*v**3 - 4*v**2 + 7*v**2 - 3*v**2 + 1070*v**3 - 546*v**3.\nAnswer: -2*v**3 + 205","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -133 + 933\/7. Let k = 59.8 + -60. Which is the closest to d? (a) k (b) 2\/5 (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6987632 a multiple of 221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of 2*y**6\/15 - 62*y**5\/5 + 292*y**4\/3 - 268*y**3 + 342*y**2 + 77*y - 3. Determine u, given that t(u) = 0.\nAnswer: 1, 3, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 18*x + 6. Let v be p(7). Suppose 3*t + t - v = 0. Calculate the remainder when t is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - p + 9 = 0, -4*g + 19 = 13*p - 18*p for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*d + 14*d = -8*d + 1950. Solve 34*v - d = 21*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8640)*4 + sqrt(8640) + sqrt(8640) - sqrt(8640) - sqrt(8640))*3 + sqrt(8640))\/(sqrt(12) + sqrt(900)\/sqrt(3) - -1*sqrt(432)).\nAnswer: 13*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 221*f + 76 = 223*f + 24*y, -5*f - y + 13 = 0. Suppose -1 = -5*d + 4. Sort 5, f, -2, d in descending order.\nAnswer: 5, f, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -7, 0.2, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - (-1 - 1)\/1. Suppose -2*o = 10, 4*g - h*o + 10 = 80. Solve -2*j - g = j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3*r**2. Let h(q) = 4*q**2 - 2*q + q + q. Calculate h(n(w)).\nAnswer: 36*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 6, -91 in increasing order.\nAnswer: -91, -3, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - 1)\/(-17 + -15 + 30) - -6?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13231506 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 1173?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 45872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 5)*(j + 3 - 3) + 751*j - 1 - 784*j + 3.\nAnswer: -35*j + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 46 = 4*x - 30, 0 = 2*y - 5*x - 10. Suppose 0 = -2*b + 5*h + y - 4, b + 4*h = 38. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/(1920\/36))\/((-18)\/(-8)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -2*s**5\/9 + 4*s**4\/9 + 8*s**3\/3 - 76*s**2\/9 + 74*s\/9 - 8\/3 = 0.\nAnswer: -4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6232 + -6217. Solve -25*q + 20 = -t*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -5*d**2 - d + 1. Determine x(-2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50614 = 188*p + 10570. What is the highest common factor of p and 50907?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -822 divided by -340.\nAnswer: 411\/170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 12\/7 of a week?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8233693 to the nearest integer?\nAnswer: 2869","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 11, i: 5}. Give prob of picking 1 x and 1 i.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*z + 2*z - 2*z)*(z + 3*z - 2*z)*(-18*z**2 - 81*z**2 - 48*z**2) to the form c*z**2 + k + m*z**3 + v*z + a*z**4 and give a.\nAnswer: -588","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -23216, -23186, -23118, -22994, -22796, -22506?\n\"Answer: 3*u**3 + u**2 + 6*u - 23226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-15)\/((t\/(t\/(t*t**(-2\/7)\/t*t*t)))\/t))\/(((t*t\/(t*t**(-8)\/t))\/t)\/((t\/t**(6\/13)*t)\/t)) assuming t is positive.\nAnswer: t**(-2200\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (6\/(-3))\/(((-138)\/1044)\/23)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 5*l**2 - 2*l - 11. What are the prime factors of k(5)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 12841 = -4*v + r, -2*v - 3*r + 6425 = 0. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from vvvvvvgvvvvvv?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12645?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -340 + 116520?\nAnswer: 116150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -105603.41.\nAnswer: -422413.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one sixth of a hour?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5 - ((-2)\/9)\/((-56)\/126)*-14. Sort 10, -5, 5, -4, h in decreasing order.\nAnswer: 10, 5, h, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a century in months?\nAnswer: 2100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 PM and 3:23 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53799*z**3 + 0 - 5 - 53797*z**3 - 6.\nAnswer: 2*z**3 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - 9*z + 2. Determine r(13).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 16 = -2*m, -6*m = 3*k - 7*m - 32. Solve -11*p + k = -14*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - 30*y - 32. What is c(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -5287, -5703, -6117, -6529, -6939?\n\"Answer: k**2 - 419*k - 4869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 34 = -4*f, -s + 2*s - 2*f = -2. Let d = -11 - s. Let v be -14 + 8 - (-2 - d). Put 5, -3, v in ascending order.\nAnswer: v, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -4*s + 5*c, -8 = 2*c + 2*c. Let q be (2\/s)\/((-1)\/(-10)). Suppose -q*l = 2*z - 8, 5*z - 10 = 5*l + 10. What is the closest to l in -0.2, 4, -0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 w when two letters picked without replacement from {s: 1, b: 4, p: 4, o: 6, w: 1, r: 3}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 603?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-489775)\/(-27126)*(-1 - 6\/(-15)). Let z be (3\/24)\/(3\/4). What is the biggest value in z, -2, f?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -21.6?\nAnswer: 4.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 4*i**2 + 14*i - 7. Determine d(-7).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1431 - 2275 = -211*n. Let t be (18\/15)\/(2\/5). Let h be 3\/t - (1 - 22). Solve 2*z + 5*j - 5 = -z, n*z - j = h for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000031777 rounded to six decimal places?\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 - 9*i - 14. Let n be b(-5). Let m be n\/(-4) + (-12)\/8. Let h be ((-1)\/m)\/(2\/120). Solve -2*f + f = 5, 5*z + f = -h for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -30669*h**3*q**2 + 49366*h**3 - h*q wrt q?\nAnswer: -61338*h**3*q - h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54293, 53426, 52559?\nAnswer: 51692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 20 = -5*n, u - 7 = -2*n - 0*u. Suppose 0 = -3*f - 0*f + 2*c + 7, 3*c = -n*f + 12. Let j(p) = -3*p**3 + 4 + 4*p**f - 3 + p**2 - p. Give j(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*c + 41 - 41)*(-2 - 3 + 4)*(2*c - 3 + 3) + 360 + 330*c**2 + 355 - 714 as h*c + o + t*c**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of 20*p + 1\/9*p**3 - 1\/30*p**5 - 1\/18*p**4 + 1\/3*p**2 + 0. Let b(k) = 0. Calculate k.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367934000 rounded to the nearest 1000000?\nAnswer: 368000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d + 403 = 550. What is the smallest common multiple of d and 102?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 + 4*m**2 + 2*m**2)*(3 - 5 - 2)*(-m + 2*m**2 + m) - m**4 - 4*m**4 + m**4.\nAnswer: -36*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 4:20 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2937572.9 rounded to the nearest 100000?\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 PM and 5:08 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d + 20. Calculate the lowest common multiple of m(17) and 13.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2290 + -366. List the prime factors of j.\nAnswer: 2, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 38, 47, 56?\n\"Answer: 9*d + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 141232 + -101?\nAnswer: 141131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 40?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or -1650781?\nAnswer: -1650781","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 441 divided by -147\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -337791807 - 3.823.\nAnswer: -337791810.823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*i - 2*i - 77*i + (5 + 4 - 3)*(0*i + 0*i - i).\nAnswer: -74*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 64257959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 118736563?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 AM and 3:51 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -3*b + 4. Let i be (-4)\/(-6) - 44\/66. Let w be h(i). Solve -2*m + 18 = w*n, 0 = 2*n + 3*n + m - 21 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 3 + 2 = 0. Suppose 0 = -5*c + t + 9. Suppose -q = 4*z - 3 - 21, 4*q - 1 = 3*z. What is the remainder when z is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 402672 >= 402670?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g*g**0*g)*g*g**(-1\/9)*g**(-3\/2)\/(g*g**8) assuming g is positive.\nAnswer: g**(-191\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 1)*(-4 + 3 - 2)*(k + 4 - 4)*(-309 - 105 - 118).\nAnswer: -1596*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4369 + 4441.96. Let l = -73 + q. Is -8 at most l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 308557?\nAnswer: 97, 3181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 873879827 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -582*x**3 + 1646*x**2. Let d(b) = -293*b**3 + 823*b**2. Let h(j) = 7*d(j) - 3*s(j). What is the third derivative of h(q) wrt q?\nAnswer: -1830","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 6*x = 0. Solve r + 4*f + 15 = 0, -5*f - 30 = 5*r - x*f for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45431?\nAnswer: 181, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 4*f + 2*f**2 + 12 + 2*f - 13. Is i(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(189)\/sqrt(7)*-6 - sqrt(27))\/(sqrt(324) + -3*sqrt(324) + sqrt(324) - sqrt(9)).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -5*t**2 - 1647*t - 558. Calculate r(-329).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3732431381361 + 1.\nAnswer: 1.3732431381361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -5*z + 18398, 2*z = u + 3*u - 36748. Suppose -3*h = -d - 7446, -4*h - 4*d + 755 = -u. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 781.869mm in micrometers?\nAnswer: 781869","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**2 + 5447270*t - 10892379*t + 5445109*t.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 0. Let q(s) = -s**3 - 5*s**2 + 2. Let g be q(h). Let n be (-118)\/(-10) - 2\/g. Solve -j = 5*y + 2, 5*y - 2*y + 5*j - n = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-16))\/(4 + (-129)\/30)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 9:58 PM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6108 is divided by 1992.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0345485m to kilometers.\nAnswer: 0.0000345485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-4*(sqrt(525) + 1*sqrt(525)) - sqrt(525)))\/((-2*sqrt(3630))\/((2*sqrt(80))\/sqrt(8))).\nAnswer: 225*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 85459.136 to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n + 10 = 2*n - 4*w, 9 = -3*w for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -3*d**3\/2 + 543*d**2 + 120795*d\/2 - 448875 = 0?\nAnswer: -95, 7, 450","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from guuhgugg. Give prob of picking 2 u.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(162)*-2 + -5 - (sqrt(162)*3 + 1)**2.\nAnswer: -1464 - 72*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of 0 - 25\/6*q**3 + 0*q**5 - q**2 - 106*q + 34\/105*q**7 + 0*q**4 + 0*q**6. What is the derivative of p(a) wrt a?\nAnswer: 272*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**2)**27 assuming f is positive.\nAnswer: f**54","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22 + 62. Suppose 1 - 5 = -2*g. Let t(f) = 50*f. Let o be t(g). What is the greatest common divisor of o and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 382645?\nAnswer: 5, 103, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 5 + -8 - 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 20\/(-6) - (2 + -5). Sort a, -2\/15, 0.3 in descending order.\nAnswer: 0.3, -2\/15, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 48*a*w - 119945903*a - 110549*w with respect to w.\nAnswer: 48*a - 110549","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = -46 - 73. Suppose -2*g = -5*v - 0*v - 76, 0 = -3*v - 6. What is the remainder when g is divided by h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - 14*k**2 + 17*k + 59. Let g = 9 - 24. Let q be x(g). Solve 5*a + 9 = q for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 135 and 480?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 73404593 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 19*o - 1. Let c(k) = -10*k + 1. Let z(m) = -7*c(m) - 4*n(m). Differentiate z(f) with respect to f.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/9 (b) -4.2 (c) 138\/67 (d) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1339?\nAnswer: 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*t - 2 + 2)*(5*t + 0*t - 3*t)*(0 - 1 + 2) - 2*t**2 - 2*t**2 + 5*t**2.\nAnswer: 15*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11731385 to the power of 1\/3, to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 375 is divided by 115?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((17 + -8)*2\/(-4))\/((-53)\/106)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 10) to base 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 47\/613911 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/(-14))\/(10*(-8)\/(-280)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s and 1 n when four letters picked without replacement from {s: 3, x: 5, j: 2, n: 1, h: 7}.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1302433061 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 451379, 902758, 1354137, 1805516?\nAnswer: 2256895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 5, -28, -4, -5, 9, 17 in decreasing order.\nAnswer: 17, 9, 5, -4, -5, -18, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 12*d + 7*d + 6*d + 7*d + 1 - 33*d. Let o be (4\/(-6)*9)\/(-2). Let p(t) = -3 - 5*t + t + o*t. What is -2*i(r) - p(r)?\nAnswer: 3*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2079*m**3 + 5*m**2 - 15*m. Let r(x) = -1039*x**3 + 2*x**2 - 6*x. Give 2*p(u) - 5*r(u).\nAnswer: 1037*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m. Let z(k) be the second derivative of -k**5 - 4*k**3\/3 - 33*k + 1. Calculate -8*i(a) + z(a).\nAnswer: -20*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w - 13*w**3 + w - 7*w**3.\nAnswer: -20*w**3 + w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t**2 - 3*t + 2. Let f(g) = 3*g**2 + 4*g - 3. Let v(w) = -5*f(w) - 7*i(w). Let l(y) = 2*y + 2. Calculate l(z) - 2*v(z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -585 plus -599.0368?\nAnswer: -1184.0368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by -4?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 283*j**2 - 142*j**2 - 147*j**2.\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 176 and 1203903360?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*i = -33*i - 44. Suppose 7134 = i*t + 2063. List the prime factors of t.\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23435223 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 h when two letters picked without replacement from {g: 1, q: 1, i: 1, j: 1, s: 1, h: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - (-7 - -6 - (-7 + 1 - -1))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, n: 2, f: 3, x: 5}. What is prob of picking 2 n?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17584 - -32057. What is the hundreds digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*c**2 + 8*c**2 - 56*c**2.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9401 and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0604856 months in decades?\nAnswer: 0.00883738","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 4*v**3 + 3*v. Let a(x) = -x**3 + x**2. What is -3*a(y) - l(y)?\nAnswer: -y**3 - 3*y**2 - 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = 24*w + 164 + 177 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 109, 261, 463, 697, 945, 1189, 1411, 1593?\n\"Answer: -3*l**3 + 43*l**2 + 44*l + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122124 (base 9) to base 4.\nAnswer: -102000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 8*t + 84. What is a(-11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from mmjmmjmmmjmjjmjmmm.\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 106645 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 27*t + 318. Is 18 a factor of i(15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -2 (c) -6\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00017016041 to six decimal places.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5*j - 61 = 0, f - 97 = -f + 5*j. Does 18 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1340 - 446 - 447 - 446 + 142*s**2 + 429*s**2.\nAnswer: 571*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 5*f - 6. Let s(c) = -6*c + 5. Let x(u) = 4*s(u) + 5*y(u). Let i(w) = w - 5. Let t(d) = -5*i(d) + 2*x(d). Give t(-5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2585 - 1445. Suppose 9*j + j = v. What are the prime factors of j?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -1\/3, -0.02 in increasing order.\nAnswer: -1\/3, -0.1, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 33508098*n**2 - 243154986?\nAnswer: 67016196*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 + p - 6. Let u be k(2). Solve -2*a + 13 - 5 = u for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.052 + -0.025. Let m = -20583 - -102916\/5. Which is the biggest value? (a) 0 (b) 5 (c) m (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 74, 54, 66, 146, 330, 654, 1154?\n\"Answer: 6*y**3 - 20*y**2 - 2*y + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - 5835.04246582?\nAnswer: -5825.04246582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (-13 + 4))\/((-9)\/21)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((3\/(-2))\/((-3)\/(-284)))\/1. Let j = l - -42. Find the common denominator of 57\/120*j\/(-8) and 31\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 653 at most as big as 650?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of -5*i**3\/3 - 175*i**2 - 345*i + 7. Let x(f) = 0. Calculate f.\nAnswer: -69, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11657447 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -47737567.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -m - 2*f + 32, 0 = f. Let h be (m + -1)*5\/15. Solve -h*j + 3*j = -25 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -9*o + 17. What is the units digit of z(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -3*f**2 - 22*f - 48. Calculate i(-6).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 2*c**3 - 608*c**2 + 46810*c - 91204 = 0?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -37939, -307156, -1037893, -2460910, -4806967, -8306824?\n\"Answer: -38460*b**3 + 3*b + 518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29167.\nAnswer: 29167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 973577?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00073483 rounded to five dps?\nAnswer: 0.00073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from ffmmmfmmffffmfzff?\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 7 + 13 - 23161*b**2 + 46317*b**2 - 23158*b**2.\nAnswer: -2*b**2 + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5*r - 59 = 4*q, -4*r - 2*q = -86. Let l be 4\/(1 + r\/(-15)). Let o = -15 - l. Put -4, -2, o in descending order.\nAnswer: -2, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 31, 22, 13, 4, -5?\n\"Answer: -9*n + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1734.5 rounded to the nearest 10?\nAnswer: -1730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16853?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -17960.04 less than -30850.15?\nAnswer: -12890.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3670, 3698, 3726, 3754, 3782?\n\"Answer: 28*o + 3642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131*l = -110*l - 756. Solve -n = -13*n + l for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.775588 years in centuries?\nAnswer: 0.08775588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4832110*d**2 + 4832523*d**2 - 9664588*d**2.\nAnswer: 45*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*(1\/(-2) + (-6)\/(-12)). Suppose 0 = -4*l + 4 + 8, 4*t = 3*l + 3. Suppose s = 7*u - t*u - 8. Solve 0 = -2*r + r + u for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a + 3. Let v be l(-6). Let y be -12 + 1 + 2 + v. Is 6\/9 + (-76)\/y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 - 26*h + 58. Let q be w(-28). Suppose 5*g = 2*k - 26, -4*g - 5*k - 39 = -5. Let r = g - -7. Put r, q, -3 in decreasing order.\nAnswer: q, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of ((-4)\/(-24)*3)\/(2\/328)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001305 rounded to 4 decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dq when two letters picked without replacement from {d: 1, y: 2, j: 2, q: 1, w: 4}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*h - 168*h + 3948 = 0 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 416*d**3 + 20*d**2 - 14*d + 140. Let c(m) = 83*m**3 + 4*m**2 - 3*m + 30. What is 14*c(q) - 3*v(q)?\nAnswer: -86*q**3 - 4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 2, 2.2, -2\/7, 6 in descending order.\nAnswer: 6, 2.2, 2, 0.4, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(832)*2 + 2 + -5)*-5.\nAnswer: -80*sqrt(13) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - x + 3*i = 102, 0 = 2*i - 4. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 3*c + 1305, 3*t - 4*c + 72 = 2004. What is the greatest common divisor of t and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -5*a. Let u(m) = -1858*m. Give u(b(s)).\nAnswer: 9290*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a - 20. Let i be g(-12). Suppose 0 = -i*n - 0*n. Which is smaller: -5 or n?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 46464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10123098 to the nearest integer?\nAnswer: 3182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 4:48 PM?\nAnswer: 4:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -50*x. Let m(l) = -101*l**2 - 520*l. Calculate m(s(k)).\nAnswer: -252500*k**2 + 26000*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.7, -12, 15, 395\/11?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j*j\/j**(-7))\/(j*j**4))\/(j**(-1\/2)\/j)**47)**(9\/5))**(-22) assuming j is positive.\nAnswer: j**(-14751\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide (0 - -1)\/(3 + 385\/(-130))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 0 + (5 - (3 + -1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2*sqrt(343) + sqrt(343))**2 + -3*(sqrt(343) + 0).\nAnswer: -189*sqrt(7) + 3103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -7*f**2 - 2*f + 1. Suppose -2 = 2*k - 2*o, o = 6 - 3. Let u be r(k). Let z = 29 + u. Which is the third biggest value? (a) 0.06 (b) 1\/4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(325) + -1 + -3)**2 - (sqrt(325) - (6*(sqrt(325) + 1 - sqrt(325)))**2)) + sqrt(156)\/((sqrt(36)*-2)\/sqrt(3))*6.\nAnswer: -48*sqrt(13) + 377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 - 1. Determine j(-6).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3032 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-1\/24)*u*u**(3\/7) assuming u is positive.\nAnswer: u**(233\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -217.39 (b) 0.15 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 933907.\nAnswer: 13, 19, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of 7*r**4\/4 + 4*r**2 - r + 5. Let a(d) = -20*d**3 - 23*d + 3. Let k = 11 - 28. What is k*g(z) - 6*a(z)?\nAnswer: z**3 + 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*1)\/(60\/(-15)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*c - 7*c + 5. Suppose -c*t + 2*x = -268, 5 = 6*x - x. Is 27 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2336 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 1*sqrt(1573)*1 + (-3 + (sqrt(1573) - (sqrt(1573)*-1 + sqrt(1573))) - (sqrt(1573) - (sqrt(1573) + 2*sqrt(1573)*6))))**2.\nAnswer: -1232*sqrt(13) + 308324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -897 divided by -4.\nAnswer: 897\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 13*b + 1. Let f(g) = -30283*g. Calculate f(h(c)).\nAnswer: -393679*c - 30283","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1590030509 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d + n - 173 = -4*n, -5*d = -n - 139. Let v(z) = z**2 - 38*z + 247. Let t be v(d). Sort 5, t, -4 in descending order.\nAnswer: 5, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + g**2 - g - 7. Calculate n(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2174 + -2082. Calculate the remainder when 304 is divided by p.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, -5, 1, -4, -3, -335 in increasing order.\nAnswer: -335, -29, -5, -4, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2144 - 2028. What is the remainder when w is divided by 29?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k**2 - 49*k - 30. Let t be o(25). Let l(q) = q + 11. Calculate the least common multiple of 6 and l(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 25?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 554 divide 4313444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of f**4\/4 + 7*f**3\/3 - 3*f**2\/2 - 5*f - 439. Calculate d(-8).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 544017189 to the nearest integer?\nAnswer: 23324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 3*j**5 - 6*j**4 - 21*j**3 + 60*j**2 - 36*j = 0.\nAnswer: -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**2\/11 + 9870*f + 12730068\/11 = 0.\nAnswer: -117, 54402","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 89140744 to the nearest integer?\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.049516472 to two decimal places.\nAnswer: -2.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-165)\/(-6))\/11*(-16)\/(-10)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(4)*-2)\/sqrt(2) + sqrt(1250) - (-1 + sqrt(288)*1)*1)**2.\nAnswer: 88*sqrt(2) + 258","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 5*t - 442, 5*v - 450 = -5*t - 0*v. Is 88 greater than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592035 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: Put -11, -27\/5, -1\/4, -2, 5 in decreasing order.\nAnswer: 5, -1\/4, -2, -27\/5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, s: 10}. What is prob of picking 4 s?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -11936664?\nAnswer: 5968332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-15)*(6 - 1). Let f be (-31)\/40 + (-2)\/(-5). What is the biggest value in 0.4, f, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36.953 + -37. Let o = -4211.4 + 4211. Put o, y, 2 in descending order.\nAnswer: 2, y, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15888 and 7030109.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/44)\/(-3)*4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 67 + 71 - 138 + 938*z in the form r*z + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 109, -25, -120\/13, -2\/5?\nAnswer: -120\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 3*u**2. Let s(f) = -702*f. Calculate g(s(i)).\nAnswer: 1478412*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**2 - h - 5. Let f be (-4)\/((-12)\/(-9)) - 1. Is q(f) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4 + 3216*t**3 - 6475*t**2 - 125574*t - 231696.\nAnswer: (t - 8)*(t + 3)**2*(t + 3218)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 4:24 AM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 4*k + 3. Suppose 23*b - 13*b + 20 = 0. What is a(b)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/((-315)\/10) + (1 - (-360)\/84). Solve 3*t - w*t = 5*p + 5, 4*p = -5*t - 4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -171 divided by 6?\nAnswer: -57\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -10*l**3 + 13*l + 16. Let t(k) = -3*k**3 + 4*k + 5. Let c be (-3)\/2*(-56)\/(-12). Give c*t(v) + 2*s(v).\nAnswer: v**3 - 2*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52485?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1168467959 to the power of 1\/3, to the nearest integer?\nAnswer: 1053","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, 3, 45, 2 in decreasing order.\nAnswer: 45, 3, 2, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -3. Suppose -5*w + 11 = -3*c, 3*c = 3*w - y*c - 9. Is 5 a factor of (-1)\/1 + (w - -14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**2 - 13*s + 10. Let o = -1054 - -1059. What is v(o)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 364103 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3, -40, -147, -360, -715, -1248, -1995, -2992?\n\"Answer: -6*v**3 + v**2 + 2*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -245\/3, 0.1, 0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/2*(146\/15 + 4030\/(-403)). Let d(v) = -v**2 - 7*v - 6. Let c be d(-4). Is r greater than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 833 + 830 + 840 - 2503 + 419*d**3 - 421*d**3.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3385068?\nAnswer: 2, 3, 282089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 7*b + 0)*(-1 + b + b + b).\nAnswer: -21*b**2 + 7*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/56 and -45\/1040984?\nAnswer: 1040984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 5*f**2 - 44*f - 524. Give n(15).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123 - 170 = -b. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.04 and 46?\nAnswer: 1.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = 7*i - 4*i. Let p = 32 + i. Let c = -3224 + 3274. What is the greatest common factor of p and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -93*f**4 + 104*f**4 + 533*f**4 + (3*f + 15 - 15)*(-2*f**3 - f**2 + f**2).\nAnswer: 538*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f - 35. Let t be y(6). What are the prime factors of (-4 - 1)*t*1?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aahaarhah. Give prob of sequence arh.\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(847) + -2*sqrt(847)) + sqrt(847))**2 + sqrt(847) + (sqrt(847) - (sqrt(847)*-1 + 1)))*3 + (-2 + sqrt(847) + 2 - (-1*sqrt(847) + 2)).\nAnswer: -5 + 121*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/36 - (-1813)\/135198.\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3 - -0.8. Let j(n) = -9*n**2 - 4*n**3 + 3*n**3 + 3*n - 2 - 11*n. Let x be j(-8). Which is the second biggest value? (a) x (b) z (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 6, m: 7, c: 1}. Give prob of sequence mxcm.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13536160 and 880.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 3 = 1. Let z(r) = 3*r - 2. Let v be z(2). Solve -2*q - 2*b = v, -q + 5*b - 18 = g for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-2 - (-2 + 0) - -1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1295, -1309, -1333, -1367, -1411, -1465?\nAnswer: -1529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.1 (b) 5 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135978*u**2 - 67989*u**2 + 28464*u**3 - 67989*u**2.\nAnswer: 28464*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1825, -3647, -5469, -7291, -9113?\nAnswer: -10935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 12) in base 8?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 3*j + 17*j**2 + 4*j + 1 - 2 - 18*j**2. Let p = -26 - -17. Let x be p\/(0 + -3) + 4. Give t(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3871*l + 353358 - 1938*l + 353355 - 706713 - 1937*l.\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -176*o**2 - 6*o - 6. Let a(y) = 1230*y**2 + 41*y + 41. What is -6*a(j) - 41*w(j)?\nAnswer: -164*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8704960.\nAnswer: 2, 5, 11, 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o + 32 = 4*r, 0 = 53*r - 51*r - 2*o + 14 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + (158 + -33 - 121) + (-89 - 1).\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 34*w**2 - 573*w + 479. What is a(16)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is 197 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: 2.2156*0.4\nAnswer: 0.88624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155*d**2 + 498*d**2 - 163*d**2 - 163*d**2.\nAnswer: 17*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-9))\/(8\/(-12))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c0 + 359626?\nAnswer: 3596e6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1222*g**2 - 1222*g**2 + 0*g**3 - 2*g**3.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**2\/6 - 423*n - 423168 = 0. What is n?\nAnswer: -768, 3306","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - -56ee?\nAnswer: 56eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8717 and 11569?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 2918.1865 to the nearest integer.\nAnswer: 2918","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -37, -95, -199, -361, -593, -907, -1315?\n\"Answer: -2*w**3 - 11*w**2 - 11*w - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3101431?\nAnswer: 1499, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3*u**3 + 25*u**2 - 7*u + 17. Let r(k) = -2*k**3 - 17*k**2 + 5*k - 11. Let t(v) = 5*h(v) + 7*r(v). What is the units digit of t(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-one quarters of a litre?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/2*-6 - (15 - 13).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5 - (2*2307\/(-6))\/1. Let r = t - 722. What is the smallest common multiple of 24 and r?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3 + 40*y**2.\nAnswer: -2*y**2*(y - 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-464)\/(-240) + (-2)\/(-30). Solve 5 = -2*s - 5*m - 0, -w*m - 2 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323175.4l in millilitres?\nAnswer: 323175400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 73.35957582 to 2 decimal places.\nAnswer: 73.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 67268.041 - 67324. Let m = g + 56. Let w = m + -0.04100053. What is w rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13*75.16.\nAnswer: 977.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 59439.29ml?\nAnswer: 59.43929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15526925729 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 PM and 4:49 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 210 - 207. Solve 0 = n + 4*n - 2*k + 7, 3*n - a*k = -6 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 815469.984 microseconds to weeks.\nAnswer: 0.00000134833","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -196\/13, -6\/13, -794, -1\/4 in decreasing order.\nAnswer: -1\/4, -6\/13, -196\/13, -794","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3506*p**2 + 0*p - 3330*p**2 + 0*p.\nAnswer: 176*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3130 divided by 1565?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 AM and 1:03 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -309*i**4 - 72*i**2 - 12*i wrt i.\nAnswer: -7416*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r**2 - 4*r + 12. Let w(l) = 1. Calculate t(v) - 12*w(v).\nAnswer: -2*v**2 - 4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/4)\/(2\/(-20)). Suppose -j*p - 16 = -66. Solve -4*l - t - p = -0*l, -l + 3*t - 9 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jp when two letters picked without replacement from jyjcjtykpjjy.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 = 6*o + 80. Solve 4 = 12*i - o*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yffjftffffjj. Give prob of picking 1 j, 1 f, and 1 y.\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-61394)\/(-14) - 46\/161 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 496 - 340. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3 - 314*v**2 + 48151*v + 16208864.\nAnswer: -(v - 224)*(v + 269)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 220 = -212. Let a = -8 - -20. Calculate the highest common divisor of a and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 + 2*z - 3. What is w(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + (13 - (-9 + 11) - 36)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10.17 and -0.13?\nAnswer: 1.3221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79799 is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3225307?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -4. Suppose 0*l - 6 = -l. Suppose 2*u + u = l. Solve 2 = -h*a + u*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 528\/1008*30\/11*((-1365)\/(-25))\/7.\nAnswer: 78\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a meter in centimeters?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m = -83*m - 2415. Let u(f) = -f**3 - 7*f**2 - 4*f - 5. Let h be u(-5). Let s = m - h. Solve g + o - 12 = 3*g, -3*g - 4*o + 4 = s for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 36*(3 + -6)*1\/(-4). Let d be (153\/n - (-5)\/(-3))\/(-2). What is the third biggest value in 6, 0.5, d, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**(-2\/3)))**(-3\/2)\/(l**(2\/5))**(-1\/2) assuming l is positive.\nAnswer: l**(-4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -7*u + 15. Suppose 5*c + 60 = u*k - 0*c, -80 = -4*k - 4*c. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**(-6))\/(p**(-1\/15)\/p))**(-18\/5))**(-24) assuming p is positive.\nAnswer: p**(17424\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30061 + 30056. Sort 1, a, -4, -3, 79 in descending order.\nAnswer: 79, 1, -3, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3980625?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7187, -11, 37?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4490010?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -4*o**2 - 36*o**3 - 34*o**3 + 63*o**3 + 4*o - 4. Let m(r) = r**3 + r**2 - r + 1. Determine j(a) + 4*m(a).\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(1700)*-1*-3 + 2 + -5 + -5 + -2 + -1)**2.\nAnswer: -780*sqrt(17) + 15469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 7 = 5. Let k(y) = 5*y**3. Let q(o) be the third derivative of o**6\/30 + 7713*o**2. Calculate f*q(p) + 4*k(p).\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 215*u + 212*u + 14*u**3 - 427*u.\nAnswer: 14*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 88 + -82. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**2\/m)\/m*m*m*m\/(m*m**(2\/21)*m*m)*m assuming m is positive.\nAnswer: m**(19\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-504)\/420 - (-82)\/60.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 83*r + 25 = -86*r, 2*r - 15 = 5*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - 49?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-634)\/(-3) - (24\/(-9))\/(-2). Is 2\/(-1 + l\/206) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27 + 2 - (33 + 13 + -40)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 2*m + 0*m = -18, 0 = -2*z - 2*m + 16 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b - 4. Let u be a(-5). Suppose -3 = -4*k + u. Suppose k - 1 - q**2 + q**4 = 0. Calculate q.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 4:37 PM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p**3 - p**2 + 3. Let g = 26 - 26. Let s be u(g). Suppose j - 3*j = -6. Solve 3*t + j*b + 9 = 0, -4*t = -7*b + s*b - 12 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -37 + 55. Let v = u + -18.5. What is the third biggest value in -0.4, v, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*f - 5*i, -4*i = -4*f + 2*f - 12 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 42 divided by 6\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3704?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 890727461*f**3 - 544388*f - 309 wrt f.\nAnswer: 5344364766*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3136 and 48.\nAnswer: 9408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48, -49, -52, -57, -64, -73?\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/5, -17, 4.6?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 4*n - 12 = -0*f, 2*n - 46 = -3*f. Suppose -7*z + 10*z = 9. Suppose -f = -4*r, -z*r + 10 = j - 2*j. Solve -2*v + b + 19 = -j*b, -4*b = 3*v - 3 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 332*u = -141*u - 4*u + 10971 for u.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(441)*1)\/sqrt(7))\/(sqrt(81) + sqrt(81)*-2 + sqrt(81) + sqrt(81)).\nAnswer: sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32 - 26. Suppose v = 3*a, -133 = -5*t + a - 0*a. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**5\/(((x**(-5)*x)\/x)\/x*x**5*x)*(x\/x**(-2\/3))\/x*x*x**(-4\/7)*x**1 assuming x is positive.\nAnswer: x**(149\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4008*h = -4011*h + 27 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 951734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 545047?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000265 rounded to five dps?\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 d, and 1 c when three letters picked without replacement from {m: 2, c: 1, s: 1, d: 1, j: 2, o: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 288 divide 284214767?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3.563*-0.1\nAnswer: 0.3563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/3)\/(1\/(-3)). Suppose -4*z = 5 - 1. Let l be 0 - 0*z\/3. Which is greater: l or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1 + 1.9. Let j = 0.41 - 16.41. Let n = j - -13. What is the second smallest value in -0.5, n, c?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -100.071 + 0.071. Let j = 100.3 + s. What is the second smallest value in j, -0.3, 2, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14426369264.109 - -5\nAnswer: 14426369269.109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 87497?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of m**4\/12 + 8*m**3\/3 - 9*m**2\/2 + 572*m. What is w(-15)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -532*j - 520*j + 2486 + 1314*j - 4977 + 2491.\nAnswer: 262*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 614620 (base 8) to base 9.\nAnswer: 338604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kvv when three letters picked without replacement from kkkkkkkkvvk.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6*(-9)\/(-30))\/((-3)\/15). Let g be (-2)\/15*c\/(-6). Put g, -0.4, 1\/7, -5 in decreasing order.\nAnswer: g, 1\/7, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*v = 25*v - 44 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18.541 + 16.541. What is the fourth biggest value in -7, d, -0.26, -1, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27 - -59. What is the lowest common multiple of y and 10?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 3*f**3 + 227*f**2 + 146*f - 254. Calculate h(-75).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0684520363 to six decimal places.\nAnswer: -0.068452","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 - -5c7?\nAnswer: 600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1022201121220 - 112?\nAnswer: 1022201121101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 48 + -30. Let x be ((-2)\/(-3))\/(12\/54). Suppose -3*b + 3*h + 54 = 0, 0 = -x*b - 4*h + 2*h + 44. Calculate the lowest common multiple of f and b.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 74.4 * 1.5\nAnswer: 111.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 258 = -3*q + 2*m, 3*m + 337 = 4*q. What is the remainder when q is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1098 and 498248?\nAnswer: 4484232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(2\/27)*c*c**(3\/8)*c*c**(-9\/4)*c*(c\/c**(2\/7))\/c*c assuming c is positive.\nAnswer: c**(2893\/1512)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 bigger than 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2245490 and 414552.\nAnswer: 26945880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i + 1. Let w(o) = -8*o. Give 2*g(j) - w(j).\nAnswer: 6*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*((-3)\/(12\/8) + 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 135437478?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 - 21. Suppose -4*r + 7 = 3*n, 1 = -n - 0*n - m*r. Let s be (-809991)\/15 + n\/(-15). Round s to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -7*q**2 - q**2 + q**2. Let k(f) = 148*f + 14. Let h(b) = -106*b - 10. Let d(g) = -7*h(g) - 5*k(g). What is m(d(l))?\nAnswer: -28*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/6)\/(1\/2). Let m(z) = -3*z**4 + 5*z**3 + 5*z - 2. Let n(g) = -g**3 - g. Let v(q) = k*m(q) - 5*n(q). What is the derivative of v(w) wrt w?\nAnswer: 12*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 29 = 4*g, -5*r - 5 + 0 = 4*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 3*q**3 + q - 1. Determine m(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2\/8 - 16249029*t\/4 + 97494201\/8.\nAnswer: -3*(t - 3)*(t + 10832689)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 800 and 18440.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5240 + 7924. Is j a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3 + 123*v**2 - 3843*v + 3721.\nAnswer: -(v - 61)**2*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3*d - d - 3*d)*(10 - 1115 + 2920) + 4*d - 3*d - 3*d)*(-3*d**2 + 3*d**2 - d**2) to the form a*d + b*d**2 + t + q*d**3 and give q.\nAnswer: 1817","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*n = 244828 + 170948. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 4*j + 32, -6*m = -2*m + j + 49. Suppose 2*p + 4 = 2*c, -4*p + p + 4*c = 10. Sort p, 1, m in descending order.\nAnswer: p, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 3*n = 10, 5*n = -4*t + 3*n + 12. Solve t*h - h = -4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*l + 95*l - 21358 = -92*l - 220*l for l.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 353.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 25839?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-3 + -1 + sqrt(180))**2.\nAnswer: -48*sqrt(5) + 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -3. Suppose -5 = -2*z - s. Suppose -3*p - p = -3*f - 490, z*p = 2*f + 246. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3581269 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/a**2*a**(-8))\/((a\/(a**1\/a))\/((a\/((a*(a\/(a**(2\/3)*a*a)*a)\/a)\/a))\/a)))**38 assuming a is positive.\nAnswer: a**(-836\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x - 5. Let w be g(8). Let d be 25 + -1 + w - -1. Let v = 53\/2 - d. Which is the third biggest value? (a) -4\/5 (b) v (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**2 + 7927*g - 7927*g + 1728.\nAnswer: 2*g**2 + 1728","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/9*-1 - 68\/(-132)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14524290 and 563542452?\nAnswer: 2817712260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 AM and 3:57 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/(-1))\/(4\/(-18)). List the prime factors of (62 - 0) + (32 - f).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 97*c**3 - c + 21*c**2 - 44*c**2 + 13*c**2 + 2*c**4 + 2 + 17*c**2 as r*c**4 + x + f*c**2 + p*c**3 + j*c and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/6090 and 137\/66.\nAnswer: 66990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -15, -38, -79, -144, -239?\n\"Answer: -u**3 - 3*u**2 - 7*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.164*-2.\nAnswer: -12.328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(112) + -1 - sqrt(112) - sqrt(112)) + 4) + -4 + (sqrt(112) + 2*sqrt(112) + -5)**2.\nAnswer: -144*sqrt(7) + 1047","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -482, -207, 68, 343?\nAnswer: 618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 550347 is divided by 2468.\nAnswer: 2451","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11 - -a7?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 611 is divided by 236.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/(-18))\/((-10)\/12 + 1). Solve 0 = -n*b - 3*v - 2, 0 = -0*b - b + 2*v + 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -274, -76 in decreasing order.\nAnswer: 12, -76, -274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 - c + 1. Let s be -8 - (-3 - 1) - -8. Let i be 2\/(1*(-2)\/s). Let u(d) = -d**2 + 2*d - 2. Let h be 2\/8 + (-9)\/4. Calculate h*u(j) + i*p(j).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of -f**7\/735 + 23*f**6\/420 + f**5\/210 - 23*f**4\/84 - 2*f**2 - 134. Solve r(m) = 0 for m.\nAnswer: -1, 0, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of a**4\/12 + a**3 + 41*a**2 + 5*a. Determine t(12).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18079 divided by 16748\nAnswer: -18079\/16748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 17*y**2 - 4*y + 2. What is n(1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 240 and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -7) + 20 + -2 + -20.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of 649*s**3\/3 + 138*s**2 - 2*s - 544. What is the first derivative of l(t) wrt t?\nAnswer: 1298","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 4*z**3 - z**2 + z - 1. Let c be x(1). Suppose -339 = -4*q + o, c*q = -0*q - 3*o + 258. Calculate the least common multiple of 8 and q.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in 0.02, 1\/3, 12, -3, 0.3, 0.8?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*z + 18*z - 5. Solve i - 3 = a, 0*a - i = -z*a - 15 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1*15*2*(9 + (-260)\/30) is divided by 2\/(-5) + 135\/25.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/8*(-46 - -58)*12\/(-54)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3582 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xzxx when four letters picked without replacement from xzzzxzzxzz?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 76800*n**3*u**2 + 4*n**3*u - 10*n**3 + 5*n**2*u**2 - 24591*n**2*u - n**2 - 6*n*u**2 + 2*u - 2 wrt n?\nAnswer: 460800*u**2 + 24*u - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3971545396?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -730 - -821. Let f = 89.082 - 0.082. Let r = v - f. Which is the biggest value? (a) -0.3 (b) -40 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1579096?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-5)\/(-50)*-1)\/(6\/(-98)) and 131\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 104352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.0203223638 and 193.028.\nAnswer: 193.0483223638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 274 = 4*k + 114, 3*z = 4*k + 64. Calculate the remainder when 221 is divided by z.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.4 + -13.4. Let j = o - -5. Let r = 8.000002 + j. What is r rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.028625425*-0.4\nAnswer: -0.01145017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 659?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*t**3 + 5*t**3 + 2 - 5*t**3 + t**3 to the form g*t + s*t**3 + h*t**2 + b and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 37431.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 326464 and 2208?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99651475 is divided by 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1437, 876, -651, -3630, -8547?\n\"Answer: -81*i**3 + 3*i**2 - 3*i + 1518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16.82 + 17. Let v = h - -0.12. Which is the second biggest value? (a) -2 (b) 0.1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 p, and 1 g when three letters picked without replacement from jfuffjjpughhpfh?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - -319927.\nAnswer: 319925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -112, -184, -306, -478, -700, -972?\nAnswer: -1294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21\/50 - -1\/50. Suppose -f - v + 19 = 2*v, 0 = -5*f - 3*v + 71. Let t be (f\/104)\/(1\/4). Is a > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -11, -22, -1131?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 153 + 638. Let u = 54853\/126 + -3040\/7. Calculate the common denominator of u and (-14)\/77 - r\/(-66).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 298 a factor of 15655430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-57090)\/(-79926))\/((-2)\/70)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 244581512 and 112?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*-1 + (-9)\/(-3). Suppose b*n + n = 2. Sort 0, 5, n in descending order.\nAnswer: 5, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 556905 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -101444849.\nAnswer: 10144484.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2667 + 4692. What is the thousands digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 12*u. Let j(r) = 6*r - 1606 + 1606. Determine k(j(d)).\nAnswer: 72*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y - 4*y + 2*y)*(-3*y + 4*y + 0*y) + y**2 - 23*y + 11*y**2 - 8*y**2 + 2.\nAnswer: 2*y**2 - 23*y + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x + 4 + 5, 0 = -5*z + 3*x + 29 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 78581 times 0.2?\nAnswer: 15716.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -a + 2. Let o(t) = 8*t - 4. Let p be o(a). Calculate the common denominator of 34\/5 and (-2)\/(-2) - 427\/p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*t + 0*t + t)*(2172 - 3359 - 3649)*(-5 + 3 + 3) to j*t + z and give j.\nAnswer: 9672","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 12:27 PM?\nAnswer: 7:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1367473 or -1367480?\nAnswer: -1367473","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - t**2 + 1708*t + 5116. Give m(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 19*z**3 - 4*z**2 - 35*z + 217. Does 32 divide p(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-16)\/(-6) - 1\/(-3). Suppose -2*f + 35 = b*f. Calculate the remainder when (275\/2)\/5*(-48)\/(-40) is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 492 is divided by 118.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}