diff --git "a/data/dm_maths/full_data_2/2324_11255.jsonl" "b/data/dm_maths/full_data_2/2324_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/2324_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let k be 7 + -4 - (-24 - 1). Calculate the highest common factor of k and 2268.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1957736*t*w - 12013062*w wrt t?\nAnswer: 1957736*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28 + 30. Let t(v) = v**2 - 9*v - 2. Let z be t(5). Let a = f - z. What is the highest common factor of a and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of -h**4\/24 - h**3\/6 - 10*h**2. Let p(b) = b**3 + 6*b + 4. Give -5*l(f) - p(f).\nAnswer: -f**3 - f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1565*x - 15 = 1627*x - 325. Let q(w) = 2*w - 2. Let u(p) = p - 1. Let g(z) = q(z) - 4*u(z). Let a(k) = -4*k + 5. What is x*g(n) - 2*a(n)?\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -7*k**2 - 30. Let w(r) = -649*r. Determine n(w(i)).\nAnswer: -2948407*i**2 - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 3*n + 8*n. Do n and -3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -23*m**3 + 3*m**2. Let g(b) be the first derivative of -2*b**4 + b**3\/3 + 1. Let d(n) = -6*a(n) + 17*g(n). Find the third derivative of d(u) wrt u.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/4*13\/(52\/40). Suppose 4*y - 210 = -5*l, i*l = 2*y - 0*y + 210. Is l a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24586?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 12*b - 16*b + 93 = 0, 4*f = -5*b + 69. What is the remainder when 206 is divided by f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-3)*u)**(4\/7))**34*((u\/(u\/((u*u**6)\/u)))\/u*u)\/(u**3*u)*(u**(-2\/3)*u)**(-38) assuming u is positive.\nAnswer: u**(-1040\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -10\/27 and (-16)\/45*(-90)\/(-153).\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 390 is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 567.9269 + 0.0731. Let n = -540.4 + f. Round n to the nearest integer.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -3. Let m(z) = -6*z**2 + 18*z - 13*z - 6*z + 35*z**2. Does 15 divide m(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 375, 750, 1129, 1512, 1899, 2290?\nAnswer: 2685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 93098087 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -54? (a) 5 (b) -0.12 (c) -0.1 (d) -0.2 (e) -3654\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.025, 3, 0.3, 115, 20 in ascending order.\nAnswer: 0.025, 0.3, 3, 20, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 + r - 1. Let g(c) = c**2 + 7*c - 3. Let w(o) = 28*b(o) - 4*g(o). Find the first derivative of w(q) wrt q.\nAnswer: 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66 (base 12) to base 2.\nAnswer: 1001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 3*x - 6. Suppose -x*l + 203 = -85. Suppose 24*u = 26*u - l. Is u a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -276792 - -9?\nAnswer: -276789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 4 = -g, 4*q + 3*g = g - 4. Let l be (5 + -7)*q\/1. What is the third derivative of 5*c**l - 3*c**2 + 4*c**6 - 5*c**4 wrt c?\nAnswer: 480*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1430, -1431, -1434, -1439?\n\"Answer: -j**2 + 2*j - 1431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - 9*y**2 + 6*y + 73. Calculate a(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 119 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -256100 rounded to the nearest 10000?\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -1943*x**3 - 21*x**2 + 3411*x - 35. Let k(w) = -3*w**2 - 5. Let n(j) = -a(j) + 7*k(j). Find the second derivative of n(g) wrt g.\nAnswer: 11658*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 656, 673, 690, 707, 724?\n\"Answer: 17*l + 639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 1:08 PM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7687659 is divided by 7687625.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggga. Give prob of sequence aggg.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1\/2, 20 in ascending order.\nAnswer: 1\/2, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 - 6 - (-30 - -26)) + 3.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**2 - 3*y + 3. Let l(a) = -3*a**2 + 5*a - 5. Let z(w) = -3*l(w) - 5*s(w). Let n(x) = 11*x. Calculate z(n(k)).\nAnswer: -121*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-21)\/(-280)*10*(-310)\/6. Let l = h + 791\/20. Sort -0.2, -7, l in ascending order.\nAnswer: -7, -0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 201 and 1218?\nAnswer: 81606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.1 (b) 3750 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6093905 to the power of 1\/2, to the nearest integer?\nAnswer: 2469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q - 11*q - 46 = 0. Calculate the remainder when q is divided by 18\/4*(-24)\/(-9).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1194756239 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31 - 34. Is y smaller than -7\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 289*i**3 - 5*i**2 + 6*i + 5. Let f(x) = -289*x**3 + 6*x**2 - 7*x - 6. Determine -6*a(b) - 5*f(b).\nAnswer: -289*b**3 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - -1) + (-1 - -1). Suppose 0*l - l = -5*k + 144, -w*l - 85 = -3*k. Suppose 4*z - 12 - 20 = 0. Calculate the remainder when k is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.089700409 + 0.0897. Round z to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3226*l**2 - 2625*l**2 - 880*l**2 to a*l**2 + u + g*l and give a.\nAnswer: -6731","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 126\/79 - 5793\/1106. Calculate the common denominator of -51\/1658 and z.\nAnswer: 11606","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(6300)*1)\/(sqrt(54)\/(-3*sqrt(6))*-3) + 0)**2.\nAnswer: 11200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36 - (-5 + -16)) + (20 - -9)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**4\/6 - 100*d**3 + 31719*d**2\/2 - 254043*d = 0 for d.\nAnswer: 0, 18, 291","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 1\/2 (c) -16 (d) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1201 (base 4) to base 2.\nAnswer: 1100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 - a. Let k(x) = 32*x**2 + x + 2. Calculate -k(v) - q(v).\nAnswer: -31*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7.2, 1\/5, 7 in decreasing order.\nAnswer: 7, 1\/5, -7.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-129 + 39 - 1 - 341)*(-1 + 1 - 3*a).\nAnswer: 1296*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(273\/364 + 26\/8).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 2727097780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 481571 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that z**4 - 37*z**3 + 104*z**2 - 68*z = 0.\nAnswer: 0, 1, 2, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 113643 and 828?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + 4*n - 13. Let x be y(-6). Let w = 8 + -5. Which is the nearest to x? (a) 0.1 (b) 0.2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44753 divided by -27\nAnswer: -44753\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - i = -4*z + 10436, -4*z = i - 13910. Suppose -12*w = -z + 826. What is the remainder when w is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -40 - -6?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -693*i**2. Let l(u) = -42*u + 18. Let o(d) = -9*d + 3. Let w(j) = l(j) - 6*o(j). Determine w(r(z)).\nAnswer: -8316*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1914970?\nAnswer: 2, 5, 191497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 187 - 948 + 388 + 186 + 187 - 29*q - 14*q.\nAnswer: -43*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.98937 centimeters in millimeters?\nAnswer: 639.8937","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -860.6 + 857.6. What is the fourth smallest value in 41, 3, 4, l, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 9:07 AM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 4*z**4 - 2*z**2 + 353*z + 353*z - 717*z as o + s*z + i*z**4 + a*z**3 + m*z**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = 3*h - 5*g, -3*g - 10 = -19 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/232*(3 + (-14345)\/(-151)*(-2)\/50)?\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 719982\/161 >= 4472?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 41856 and 480.\nAnswer: 209280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -224241 or -224233?\nAnswer: -224241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s*s*s**(-2)*(s\/(s\/(s*s\/(s*((s*s*(((s\/(s\/(s\/s**(-4))*s*s))\/s)\/s)\/s*s*s)\/s)\/s*s))*s))\/s*(s**1)**(-3\/20) assuming s is positive.\nAnswer: s**(-63\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 788 - 301 - 487 + 6*o.\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 608498 and 374.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6664 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2 - 11*h\/2 - 3\/2.\nAnswer: (h - 3)*(4*h + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39*x - 6*x**2 - 46*x - 194*x + 2*x**2 to o + h*x + a*x**2 and give h.\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(240\/(-8))*2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d + 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 3*l = 69. Is -1 + 2 - (1 + l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4476 + -2658. Let q = -989 + u. Is 38 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/329 and -67\/6.\nAnswer: 1974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -455*r - 222874 + 216049 = 0 for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a microsecond in nanoseconds?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d. Let p(x) = 8*x**2 + 56*x. Let n(l) = 2*p(l) - 112*w(l). Let a(s) = -40*s**2 + 80*s**2 - 47*s**2. What is a(n(z))?\nAnswer: -1792*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x - 5. Let y be v(8). Let w = -16.7 - -15.99. Let s = w + 0.31. Which is the smallest value? (a) -3 (b) y (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 13 = 2*b. Let t = 32 + -36. Let r be t + 4 + -4 + 2. Sort r, b, 2 in increasing order.\nAnswer: r, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 369 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (752\/(-6))\/(1\/(-3)). Let k be c\/(-4)*(3 - 4). Let u = 19 + k. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36 - (30 + 24) - -44.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-2))\/(4\/6*-3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, z: 2, t: 6, v: 2, g: 1}. Give prob of picking 1 v and 1 l.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cfkc when four letters picked without replacement from {c: 2, k: 1, f: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.227478 rounded to 2 decimal places?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 6, 0 = -0*b - 4*b - 3*z + 14. Suppose 5*g = -5*d + 35, b = 5*d + g - 13. Let p(k) = -k**d + 13*k + 14 - 6 - 12*k. What is p(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(60\/(-4))\/(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*m*w**2 - 129379*m - 642*w**4 - 2*w**2 - 6*w wrt w?\nAnswer: -4*m*w - 2568*w**3 - 4*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 3*g = 3*p - 3, -5*g = p + 3. What is the third derivative of -4*k**2 + 0*k**5 - 2*k**5 - 3*k**p + 4*k**2 wrt k?\nAnswer: -120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 2\/13 (c) -0.2 (d) -0.36899\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 35 + 6*y - 39 - 5*y. What is j(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*n - 239 - 60 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1658205 and 45795?\nAnswer: 1065","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*a**5 - a**4 - 9*a**3 + 790*a**2.\nAnswer: 480*a**2 - 24*a - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-d - 2*d - 4*d + (2*d - 1 + 1)*(3 + 3 - 4))*(-5 + 5 + 5*d)*(1 - 2 + 3)*(-1 - 9 + 3) as r*d + j + k*d**2 and give k.\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74375673?\nAnswer: 3, 24791891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -63565 + 18739 = -6*s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 540*t + 4817. Calculate y(-9).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 2326*a - 15 = -2325*a, i + 3*a = -29 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1751070 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -2\/63 (c) 663.5 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -3*z**3 - 2*z**2 + 1. Let r(c) = -3*c**3 + 24*c**2 - 10*c + 81. Let d be r(8). Determine l(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -121323111?\nAnswer: 121323112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of -d**3\/6 - 2*d**2 - 2*d. Let u be z(-6). Solve w + u*w = 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 2 = -5*s. Let c(x) = 6*x**3 - 6*x**2 - 7*x + 4. Let g(h) = -h**3 + h**2 + h - 1. Let r(a) = -c(a) - 5*g(a). Determine r(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -58431751?\nAnswer: -3\/58431751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3040618?\nAnswer: 2, 7, 47, 4621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 452190 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -123190000 to the nearest one million.\nAnswer: -123000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 14 + 1821*n + 7 - 1867*n - 2*n**2 in the form w + z*n + d*n**2 and give z.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 + 5*v**2 + 10*v - 8. Let d be 3\/(-1) + (0 - -9). Let c be y(d). Suppose 3*u = c - 4. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12233 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: Suppose 3*m + 2*c - 8 = -2, -4*m - 2*c + 6 = 0. Suppose -b - 3*j + 19 = m, 4*b + 2*j - 19 = 7. Solve 0 = -4*q, 0 = -3*u + q - b + 7 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -481 + 480.1252. Round q to 1 decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6204 and 99.\nAnswer: 18612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i**2. Let w(v) = 6*v + v - 3*v + 5*v. What is a(w(t))?\nAnswer: -162*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2 - -101)*(9 + -8) is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-7)*10\/(-15)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6909434 nanograms in milligrams?\nAnswer: 0.0000006909434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8 - (-15 + 173))\/((-1)\/8). Let o = z + -888. Is o a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3629908.\nAnswer: 2, 17, 53381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 134.7 - 142. Let s = -7 - z. Let y = -1 - -1.5. Which is the nearest to -1? (a) 0.4 (b) y (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of l**4 - 5*l**3\/6 - 9*l**2. Let x be 2 - (-1 + (-2 - -1)). Is h(x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-10\/9)*z\/(z\/z**15)*(z*z**(-17))\/((z*z*(z\/(z\/(z**(-8)*z*z)*z))\/z)\/z) assuming z is positive.\nAnswer: z**(44\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 11*y)*(4 + y - 4) - 190 + 190 - 4*y**2 as q + l*y + t*y**2 and give t.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27637 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 219536630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -115 - -122. Let x = -1 + 5. Suppose -x*u = -u - 57. Calculate the remainder when u is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1702?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 4*a - 102. Give l(26).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/3184 and 35\/5174?\nAnswer: 41392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -12. Let t = -564\/1435 + -2\/287. Which is the closest to t? (a) p (b) 1\/4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7240*m - 7240*m - 5*m**3.\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 5*r - 1 + 11, 2*y - 2*r = 0. Let z(a) = -4*a + 14. Let o be z(3). Suppose -o*q = -3*q - 4*m + 12, m = 3. Sort q, -3, y.\nAnswer: y, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 847*b - 423*b + 5 - 421*b - 5.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**5\/5 + 2*q**4\/5 - 4*q**3\/5 - 4*q**2\/5 + 2*q\/5 + 2\/5 = 0. What is q?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 3:52 AM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-2\/13)*b\/((b\/(b*(b*b*b**(-3\/4))\/b))\/b)*(b**5\/b*b)**(-25\/6) assuming b is positive.\nAnswer: b**(-2923\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/7 - 238244*c\/7 - 238242\/7.\nAnswer: -2*(c + 1)*(c + 119121)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*(-2 - 1)\/1. Let b(y) = y**3 + 2 + 3*y**x + 10*y**3 - 5*y**3 - y**2 - 3*y. Let n be b(2). What is the greatest common divisor of n and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**5 + 0*z**5 + 4*z**5 + (2 - 1 - 2)*(-2*z**5 + z - z).\nAnswer: 8*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -4\/5 (b) -47 (c) 0.5 (d) 130571\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (174\/42 - 4)*-2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -5*x - 118, 5*m = x - 12 + 172. Solve -42*z = -m*z - 33 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = 3*o - 4*l + 16, -7*o + l - 334 + 350 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(5*(-4*-2*sqrt(70))\/sqrt(10) - -2*(sqrt(252) + 3)*2))**2.\nAnswer: 24576*sqrt(7) + 461056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 2*m + 7 - 85 = 0, -4*j - 3*m + 83 = 0. Suppose 2*b + 4*d = 28, j = 3*b + 4*d - 15. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a meter in millimeters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1095.00397 rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -87*u + 92*u + 15. Let x = -14.61 + 13.61. What is the closest to -5 in x, u, 1.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 84, 90, 108, 144, 204, 294, 420, 588?\n\"Answer: u**3 - u + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 49826639?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 7298 times 1.5947\nAnswer: 11638.1206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/2)\/((-52)\/26)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -9*f**2 - 4*f + 4. Let l be r(4). Let q(c) = c**2 + 100*c - 4378. Let t be q(32). Is l less than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 192\/60 - (-2)\/(-10). Suppose -k*s - 2*d - 401187 = 318823, -5*d = -s - 239975. Round s to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 467373941 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.04 and 34.\nAnswer: 1.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2033221331122 + 11?\nAnswer: 2033221331133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-2\/9)*c*c**11)**(-7\/10)\/((c**1)**(-34))**(1\/18) assuming c is positive.\nAnswer: c**(-127\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b2405b (base 12) to base 2\nAnswer: 1010101000000101000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-1 + 10\/4). Does 22 divide (p - 1)*3 + 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 396071 is divided by 396044.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15623*y - 1 - 15623*y + 65*y**2 + 5*y**2.\nAnswer: 70*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -5, 8, -1, 229 in ascending order.\nAnswer: -9, -5, -1, 8, 229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 1 + 23. Is 3 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19304.3084 - -3\nAnswer: 19307.3084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3123211320 (base 4) to base 10\nAnswer: -899448","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(272) + sqrt(272) + 2 - sqrt(272))*-1 - sqrt(272))**2 - -6*(sqrt(2448) + 1).\nAnswer: 104*sqrt(17) + 1098","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of 5*d**4\/4 - d**2 + 9*d - 1. Let z = 4791 + -4798. Let b(x) = 3*x**3 + 5 - x - 2*x**3 + 2*x**3. What is z*b(h) + 4*i(h)?\nAnswer: -h**3 - h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/3 - -1 - 7. Let o = c - -10. Find the third derivative of -2*q**3 - 114*q**2 - 2*q**3 - 3*q**o + 117*q**2 wrt q.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 79.392947 to 2 dps.\nAnswer: 79.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 8*b - 3 + 3. Let z(l) be the first derivative of -2*l**3\/3 + 17. What is j(z(f))?\nAnswer: -16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -25 (base 14) to base 5\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + 6*n**2 - 6. Let r = -47 + 94. Let f = r + -42. What is the units digit of v(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 2*b + r + 3, -2*b - 2*r + 2 = 0. Suppose -4*n = -0*n + 5*u - 28, -b*n + 20 = u. What are the prime factors of n\/(-66) - (-1058)\/11?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 260.2 + -331. Let d = w + 71. Sort 3\/2, d, -12, 1.\nAnswer: -12, d, 1, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4257.\nAnswer: 3, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-16)*z*z**31*(z\/(z*z*z**11*z))\/z**16 assuming z is positive.\nAnswer: z**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 - -27. Calculate the least common multiple of 19\/2 - (-3)\/6 and g.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9924600*k**2 + 19868854.\nAnswer: 19849200*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, d: 1, a: 4, o: 7, x: 2, g: 3}. What is prob of sequence xgxz?\nAnswer: 1\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8825143 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 279463 = 2*o. Let i = o - 3072093\/11. Let a = i + -182. Sort 5, 0.2, a in decreasing order.\nAnswer: 5, 0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 6 - 3)*(37 - 37 - 3*t) - 31590 - 127*t + 31590 as w*t + r and give w.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (76\/(19684\/(-111)))\/((-2)\/70).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 11:48 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, n: 11}. Give prob of picking 1 u and 3 n.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -132283816 and 0.06?\nAnswer: 132283816.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 - 10*k - 9. Let y be m(14). Suppose 3*f - y = 10. Solve -3*h + f = -o, 0*o = 3*h + 5*o + 5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 0 + 7\/2*v**2 + 13\/4*v + 1\/4*v**3 = 0.\nAnswer: -13, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + 2)\/((5 - -5)\/5). Let j(r) be the first derivative of -5*r**3\/6 - r**2\/2 - 2*r - 2. Let q(n) be the first derivative of j(n). Determine q(z).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 286\/9, -0.9, -0.4, 3\/7, -4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/((-2 + (-28)\/(-12))*-1). Let m be h + 6536\/20 - (-1)\/5. Suppose 14*v + m = 16*v. List the prime factors of v.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 241699 and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -7*i + 7. Let q(h) = -3*h + 4. Let w(s) = 4*o(s) - 9*q(s). Suppose 5 - 2 = -g. Let v(x) = x + 1. Let b(r) = g*v(r) - w(r). Calculate b(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18408?\nAnswer: 2, 3, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -76*d**4 - 410*d**3 - 602*d**2 - 160*d + 24 = 0.\nAnswer: -3, -2, -1\/2, 2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.992 - 2.9919998313. What is f rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.09, -3, 2, -2?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32230 (base 4) to base 15.\nAnswer: 42a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 8*c**2 + 993*c + 8366. Determine x(-9).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q**2 + 1. Let k be p(1). Which is the closest to -0.1? (a) -0.3 (b) k (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 - s**2 + 48. Let b be a(0). Let c = b - 44. What is the remainder when c is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ih when two letters picked without replacement from hlihilhhliih.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 + 15*x**2 + x - 14. Let k be f(-14). Suppose -3*u - k = -a, 2 = u + 3. Suppose 51 + a = 3*o. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or -0.4193?\nAnswer: -0.4193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -3*s - 400. Round s to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.007*-0.259484\nAnswer: 0.001816388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 293295 and 273?\nAnswer: 26689845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 2130046?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -83 + 1d2?\nAnswer: 14f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 869897.\nAnswer: 7, 41, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 992 = -34*v, 9928*k - 9925*k + 4*v = -107 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r\/r**(-4\/7))\/r*r)\/r)\/r**(-2)*r**3\/(r*r**(-2)) assuming r is positive.\nAnswer: r**(53\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 28 (b) -1 (c) -1172\/5 (d) 5\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 142003 = 5*d, 0 = -5*d + w + 112197 + 29802. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -62230*h**2 + 168425*h wrt h.\nAnswer: -124460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 0.16 (c) -3\/5 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -2 + (-7 - (-15 + 3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.4 - -0.4. Let x be 13 - 1\/((-2)\/4). Let w be (-5)\/3*6\/x. Which is the third smallest value? (a) -3\/4 (b) w (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a microsecond in nanoseconds?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 12:14 AM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -267*w**2 + 4*w + 2. Let x(a) = 1068*a**2 - 18*a - 9. Calculate -9*i(p) - 2*x(p).\nAnswer: 267*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.38623 days to milliseconds.\nAnswer: 378970272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 3*a**3\/5 - 82266*a**2 + 14074239456*a\/5 + 1723184896896\/5 = 0?\nAnswer: -122, 68616","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13.1 - -13. Which is the third smallest value? (a) -1\/7 (b) o (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qzzq when four letters picked without replacement from qqizqizzqiqqqiizizii.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11899 and 1387.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 58 - 58. Put j, -3, 4 in descending order.\nAnswer: 4, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12251?\nAnswer: 12251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 0 + 13 + (-26 - -18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 23163616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 456 and 55024?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 30\/(-4) - (-2)\/(-4). Let y be 12\/8 + 12\/u. Suppose -q + 4 = -y*q. Which is the second smallest value? (a) -1\/4 (b) 0.06 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) -6 (b) 2 (c) 3\/11 (d) 4 (e) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 35681 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*t = -143*t - 104*t - 169 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((5 - 13) + 8)\/(1 + 1). Let n(j) be the third derivative of 1\/30*j**6 - 3*j**2 + 0*j - 1\/6*j**3 + f*j**4 + 0*j**5 + 0. What is n(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6752*g + 30 + 6848*g - 19)*(1 + 2 - 2) + g + 0*g - 2*g as s*g + z and give s.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 19 = 429. What is the greatest common factor of c and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1235333 is divided by 503?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -112 + 112.158. Let a = -0.358 + u. Sort 2, a, 5 in decreasing order.\nAnswer: 5, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1523 - 1518. Suppose -u - 2*u = 12, -3*d - 5*u - 14 = 0. Calculate the remainder when 6 + d\/(-6)*0 is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 2*j**4 + 4*j**2 + 52*j - 52*j in the form f + h*j**3 + s*j**2 + t*j**4 + v*j and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**5 - p**4 = 0. What is p?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81831065 is divided by 7996.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 75 - 196. Let q = p - -124. What is the nearest to q in 0.5, 0.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -c - 311 + 319 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 26 + (4 + -4 - 2). What is the greatest common factor of 12 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1323314ml to litres.\nAnswer: 0.0001323314","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 484\/14 + 204\/(-357) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -127, -112, 0.1 in decreasing order.\nAnswer: 0.1, -112, -127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-6)*p)\/(p*p*p**(-3\/4)))**37 assuming p is positive.\nAnswer: p**(-925\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -348 + 348. Put 5, 2, w, -8 in ascending order.\nAnswer: -8, w, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 210 and 1051890.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/8, -1\/8, -0.5, 3\/14, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(99)*-1 - sqrt(99) - (-1 + sqrt(99))*-4)**2.\nAnswer: -84*sqrt(11) + 445","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*s + 3*o - 592 = 14*s, 0 = 3*s - o + 37 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 2*b**4\/3 - 260*b**3\/3 - 20498*b**2 + 187760*b\/3 + 248992\/3 = 0.\nAnswer: -124, -1, 4, 251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9dc7 (base 14) in base 8?\nAnswer: 65433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 7*x**3 - 2*x + 1. What is h(-2)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 - 4*o - 6. Let h be n(6). Let s be h\/(-10)*(-8 - -3). Let x = 4 - s. Calculate the remainder when x is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 1011010?\nAnswer: 1011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwcsccwcwcswc. What is prob of sequence wcw?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 1 + 17 = 0. Let w(n) = -n**2 + 7*n - 5. What is the units digit of w(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, c: 1, b: 2, o: 2, x: 1}. What is prob of sequence qoo?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33)\/(-3960)*20*87?\nAnswer: 29\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20231707\/1155 + 245157\/14. Let h = t + 1\/66. Let k = -2\/4851 - 22174\/4851. What is the common denominator of h and k?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a + -a201?\nAnswer: -a1a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of h**5\/30 - 47*h**4\/24 + 55*h**3\/6 + 119*h**2 - h. Is o(-42) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/20204 and -67\/6?\nAnswer: 60612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, d: 2, u: 1, s: 2, b: 2}. Give prob of sequence sbds.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-588)\/12 + 10 + (-231)\/11\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -753 divided by 6\nAnswer: -251\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(3*(-1)\/51). Let v be c\/(-7) - 8\/(-28). Let r(d) = d**2 + 2*d - 2. What are the prime factors of r(v)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 797082 and 702.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -10052a (base 12) to base 6\nAnswer: -5203254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -640, -1287, -1934, -2581, -3228, -3875?\nAnswer: -4522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -185\/792 + 45\/88. Put 5, -22, u in decreasing order.\nAnswer: 5, u, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 20918, 41835, 62752?\n\"Answer: 20917*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.1 + 5.1. Let p = -445\/7 - -673\/14. What is the fourth biggest value in -0.1, l, p, -0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60\/(-54)*15*(-1044)\/(-1740).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dh when two letters picked without replacement from hhedie?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*g**2 + 3*g**3 - 122*g**2 + 398*g**2 - 68*g**2 - 84*g = 0 for g.\nAnswer: -28, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6190.57 to the nearest one hundred.\nAnswer: 6200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i**3 + 166848*i**2 - 3171093*i + 5674770 = 0 for i.\nAnswer: -55635, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -86\/1241085 or 0?\nAnswer: -86\/1241085","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 10609173, 21218341, 31827509, 42436677, 53045845?\n\"Answer: 10609168*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.0153 - -0.462\nAnswer: 0.4773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/16)\/(39\/(-416)*5).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000253968 rounded to seven decimal places?\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cs when two letters picked without replacement from ccsffrffffrfrc?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -296 - -316. Suppose -o*i = -205 + 5. Solve i*v + 25 = 5 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1404.9 rounded to the nearest 100?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -125, -259, -417, -611, -853, -1155?\n\"Answer: -2*b**3 - 120*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(108)*-2 + -1 - (sqrt(300) - (sqrt(300) + (sqrt(300) + -2 - sqrt(300)))*-3))*1)**2.\nAnswer: -104*sqrt(3) + 8113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((sqrt(77)*1 + sqrt(77))*6)\/sqrt(7) - (sqrt(132)\/(-2*sqrt(12)) - (sqrt(44)\/sqrt(4)*2)**2))*1.\nAnswer: 25*sqrt(11) + 88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 65582809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 16*b - 19. Let i be o(3). Let h = 39 - i. What is the derivative of -7 + 2*v**2 + 0*v**2 - h*v**2 wrt v?\nAnswer: -16*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4005426*z**2 - 2002980*z**2 + 1 - 2002450*z**2 - 1.\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 7*4\/(-8) - 9\/18\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 221 + -220. Put -4\/5, 0.5, -5\/2, c in decreasing order.\nAnswer: c, 0.5, -4\/5, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -92 + 113. Let v = 7 + -17. Let m = y + v. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 - 13*k + 10. Determine z(-13).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 + 3*g. Let c(v) = -1. Let p(r) = -r**2 + r - 1. Let o(x) = c(x) - p(x). Calculate l(d) + 3*o(d).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15552186776 - -15552186856.69999347. Let k = l + -80.7. What is k rounded to 7 dps?\nAnswer: -0.0000065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = 210 - 222 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1596558059 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**2\/5 - 8088*v\/5 - 24282\/5 = 0. What is v?\nAnswer: -3, 4047","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75814335.\nAnswer: 3, 5, 1684763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 3*u + 54. Let x be n(-10). Solve 2*s = -2*k - 16, -x = -0*k + k + 5*s for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2686, -10809, -24364, -43351, -67770?\nAnswer: -97621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -k + 5*k, 0 = -2*m + 5*k - 229. Let q = 275 + m. What are the prime factors of q?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jwh when three letters picked without replacement from {h: 4, w: 2, j: 2, c: 1, y: 1}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 292 is divided by 86?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + x - 4*x. Sort 4, 5, x, -4.\nAnswer: -4, x, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -89 + 89.71. Round f to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 15 = -2*d. What is the second derivative of 2*v + 0*v**3 - 2*v**3 - d*v**4 + 2*v**3 wrt v?\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1697107 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-3 + sqrt(192))**2 + (sqrt(3) - (sqrt(3) - sqrt(27)\/(-5*sqrt(9)))**2)*4.\nAnswer: -44*sqrt(3) + 4693\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*q**3 + 3*q**2 - 5 - 18*q - 9*q**3 + 5 in the form p*q**2 + t*q + r*q**3 + z and give t.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2bc42 + 1343?\nAnswer: 30285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5129 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48077176 and 209944.\nAnswer: 48077176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t + 2. Let s(n) = 3*n + 3. Let x(d) = -d**3 + 3*d**2 + 5*d - 6. Let h be x(4). Let a(m) = h*p(m) + s(m). Suppose y = -3*y + 12. Calculate a(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g. Let f(o) = -1. Let m = 59 + -56. Let r be (8 - 7)\/(m - 2). Calculate r*y(z) - 2*f(z).\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -50*m**2*p*z**4 - 16*m**2*p*z - 3*m**2*z**3 - 3*m*p*z - 3*m*z**2 - m wrt z?\nAnswer: -1200*m**2*p*z - 18*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -5*t**2 + 6*t - 5. Let s(k) = -6*k**2 + 3*k - 6. Let d(l) = -12*l**2 + 5*l - 12. Let o(r) = 4*d(r) - 9*s(r). Calculate 6*o(c) + 7*u(c).\nAnswer: c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 + 18*l**2 + 53*l + 77. List the prime factors of f(-12).\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13354 (base 7) in base 14?\nAnswer: 1464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 42 = d + 11, 3*d - 3*n = 21. Let z = d + -15. Which is the nearest to 2\/5? (a) 2\/3 (b) -0.2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29876?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 11) to base 15.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-326812)\/28 + 2\/(-14). Is j\/(-16)*(-4)\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -1717*h**4 + 119*h**2 + 36*h - 25. Let l(w) = 429*w**4 - 30*w**2 - 8*w + 6. Let p(s) = -9*l(s) - 2*t(s). Find the third derivative of p(u) wrt u.\nAnswer: -10248*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2634*o**3 - 2115*o**2 + 49038*o + 87 wrt o.\nAnswer: -15804*o - 4230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -393802 - -12?\nAnswer: -393790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22068 by 643.\nAnswer: -22068\/643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + 0. Determine m, given that -x*m**2 + 18*m + 0*m**2 - 26*m + m**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125 is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 18 and 2249657?\nAnswer: 40493826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57693.\nAnswer: 3, 19231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.403091 rounded to 3 dps?\nAnswer: 1.403","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*x - 447 + 447.\nAnswer: 79*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = -a + 16, 0 = 109*a - 108*a - 2*l + 8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(-4\/5)*u*u*u**(-2\/5)*u*u\/u**(-6)*u**(-3)*u*u**1*(u**1*u*u)\/u*(u**(-2\/7))**(-8) assuming u is positive.\nAnswer: u**(458\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4 + sqrt(1100) + 1 - (sqrt(1100) + 2)*5)**2.\nAnswer: 3120*sqrt(11) + 53307","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -4*f**3 - f**2 + 2*f - 1. Let w be i(1). Let z = 6 + w. Suppose z = -m + 6. Solve q + c + 5 = 0, -4*c + 18 = -m*q - 6*c for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*z**6 - 6*z**4 - 72*z**2?\nAnswer: 240*z**3 - 144*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*m - 10*m + 10*m)*(0 - 6 + 5)*(-14 + 12 - 14).\nAnswer: -176*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/1103388, -1\/8, -0.3, 15 in decreasing order.\nAnswer: 15, -1\/1103388, -1\/8, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -15\/2. Suppose 4*c = -m - 21, -4*m + 3 = 4*c + 27. What is the second biggest value in m, a, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 60 + -8. Suppose 0 = -f - 4*t - 4 - 0, 0 = -4*f + t + o. Solve 2*d = -2*d + f for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*q = -5*o + 3800, -2*q - 1167*o + 122 = -1171*o for q.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -10 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42 - 23. Calculate the remainder when d is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-10)*f**(-11\/4) assuming f is positive.\nAnswer: f**(-51\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -5*b**2 + 6*b. Let g(d) = -d + 4*d + 4*d - d - 7*d. Give r(g(n)).\nAnswer: -5*n**2 - 6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(-70)*-2*(-25)\/(-20).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 6 - 17. Let y = -8 + v. What are the prime factors of 8\/(y\/(84\/8))?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 + 19. Solve t*i = -4 - 11 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 6*z**2 + 11. Let v(h) = -5 + 37*h - 3*h**2 - 19*h - 18*h. Let g(s) = 4*c(s) + 9*v(s). What is g(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 123 and 3977?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/84 (b) 4\/9 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 + (3 - -7) + -5. Suppose h*l + 5*l - 28 = 0. Suppose 4*z - 2 = l. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -187*c - 293 + 15138*c**3 - 1197*c + 309 + 29580*c**2 = 0.\nAnswer: -2, 2\/87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a kilometer in meters?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06 in -2, -0.2, -3, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5315752 to the power of 1\/2, to the nearest integer?\nAnswer: 2306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 604222 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115 - 154 = -13*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -276 plus -2537889112?\nAnswer: -2537889388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4041\/4 less than or equal to 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2\/5))**(-38)*j\/(j*j**1\/j)*j\/(j**(5\/2)\/j))**29 assuming j is positive.\nAnswer: j**(4263\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1194098303\/7110 + -9271111\/45. Let b = s + 38078. What is the common denominator of b and -91\/10?\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.118? (a) -0.4 (b) -0.2 (c) 28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 70 and 7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*l + 75 = -96. Let y(r) = r**2 - 1. Calculate the least common multiple of l and y(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 552111 and -132?\nAnswer: -72878652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1158011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 AM and 2:06 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 478023 a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - w - 3*w + 5, -4*d = 4*w - 20. Suppose 2 = -c + 4. Suppose -c*m - 5 = d*m, 5*a - 64 = 4*m. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 762 and 10033?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 1. Let z(l) = -15*l**2 + 3. What is -15*f(r) - 5*z(r)?\nAnswer: 60*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000002502 rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 24699523, 24699524, 24699525?\n\"Answer: a + 24699522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70)\/sqrt(63) - sqrt(1440)*-3)\/(4*((sqrt(22)\/sqrt(44) - sqrt(2) - sqrt(2)) + 6*(sqrt(2) - (sqrt(32) - sqrt(2))))))**2.\nAnswer: 59405\/26244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 224628?\nAnswer: 2, 3, 18719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9177*z**2 + 1 + 7724*z**2 + 8404*z**2 + z - 21793*z**2 to r*z**2 + h*z + q and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 4:33 AM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 614 - 611. Solve -h*s - s = -16 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -85 divided by -63548\nAnswer: 85\/63548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 68866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130127 is divided by 2705.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.69 from 550984094892.\nAnswer: 550984094890.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*o**5 + 1416*o**2 - 3*o**3 + 2*o**3 - 1313*o**2 wrt o.\nAnswer: 480*o**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of -5*i**7\/21 - 5*i**4\/3 - 3*i**2 - 2. What is the second derivative of j(k) wrt k?\nAnswer: -600*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -724, -736, -756, -784, -820, -864?\n\"Answer: -4*p**2 - 720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004864292 to five decimal places.\nAnswer: 0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 185903 - 1.6\nAnswer: 185901.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -219788?\nAnswer: 219785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12175551 to the nearest integer?\nAnswer: 3489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4 and -288884438?\nAnswer: 288884442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of -i**8\/240 - 17*i**4\/24 + 3*i**3\/2 + 9*i. Let a(r) be the second derivative of j(r). Differentiate a(l) wrt l.\nAnswer: -28*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3219471\/74865 - 43)\/((-12)\/(-30))?\nAnswer: 2\/217","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1199051 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(75) + 1 - (sqrt(75) + sqrt(3) + 1).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-144)\/16)\/(-45))\/((-6)\/50)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -11, 1, 17, 37, 61, 89?\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 1. Suppose -5*i + u = -131, i + u - 25 = -l*u. Suppose 5*m + i = 7*m. List the prime factors of m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -i + 5*f + 15, 2*f - 72 = -4*i. Let a be 25 + 1 - (-5)\/(-5). Suppose -25 = 13*t - a. Solve t = -3*m - 2*m - i for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -96040 by -280.\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1787 + 1792.604. What is n rounded to 0 decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y + 5 = 8*y. Suppose -y*m = -0*m - 10. Which is the biggest value? (a) m (b) 0.5 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n**2 - 14*n - 5. Determine p(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-30)\/15 - 30\/12*-2. Solve -4*g - 2*o - 101 = -109, f*g = o + 11 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 5*v = -926 + 892, -4*v = 219*y + 836 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-9)*q**3)\/(q**(-2\/9)*q)**8)**(-6\/13) assuming q is positive.\nAnswer: q**(220\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3805574 decades in months?\nAnswer: 45.666888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 39, -2\/11, -4, -1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 53 and 901?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 312439\/237006 - 1\/10773. Calculate the common denominator of 45\/22 and h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of -9*z**5\/20 + z**4\/6 + 191*z. Let s(a) = a**3 + a**2. Determine -2*s(g) + u(g).\nAnswer: -11*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21359 - -21354. Sort 0.4, -43\/2, 0, s in descending order.\nAnswer: 0.4, 0, s, -43\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 0*c - 8 = 0. Find the third derivative of 0*g**4 - c*g**4 + 3*g**4 + g**2 wrt g.\nAnswer: 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17.19 - -17. Let x be 514\/(-1285)*(-3)\/6. What is the second smallest value in 2, z, x, -2\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**3 - 2 + 4 + 8)*((-3*w + 4*w + 0*w)*(-2 + 1 + 3) + 0*w - w + 4*w).\nAnswer: -10*w**4 + 50*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 110369?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 + 10*f**2 - 47*f - 95. Let w be u(-13). Solve w*p + 12 = -33 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 + q + 42. What is the remainder when 37 is divided by a(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.9*-3.06\nAnswer: -2.754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1219, 2441, 3663?\nAnswer: 4885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -251724*l**3 + 3*l**2 + 9*l - 322370776?\nAnswer: -755172*l**2 + 6*l + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*k - 19*k + 74*k)*(-3 - 6 + 4 + 4).\nAnswer: -41*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -68 - -240. What is the remainder when f is divided by 30\/(-270) + 1588\/36?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*p + 35*p + 89*p**2 - 94*p + 2.\nAnswer: 89*p**2 - 65*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**1)**(7\/10)\/(y**(5\/3)\/y**(-2\/15)))\/((y\/(y**(-2\/17)*y*y)*y\/((y*y*y**5)\/y))\/(y**(-2)\/y**0)) assuming y is positive.\nAnswer: y**(177\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -227521798*d**3 - 10*d**2 + 14345*d - 528 wrt d.\nAnswer: -1365130788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*b + 576 - 512 = 0. Let f(t) be the first derivative of -5 + t**b - 2\/3*t - 4\/9*t**3. Let f(v) = 0. What is v?\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*b - 27 + 111 = -3*x, 2*x - 112*b = 5*x - 117*b - 4 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of h**4\/24 - h**3\/3 + h**2\/2 + 5*h. Let i(q) be the first derivative of z(q). Let c = 5 + -9. Calculate i(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 273600, 547200, 820800, 1094400, 1368000, 1641600?\nAnswer: 1915200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 + w - 2. Let a(p) = 4*p**2 + 68*p - 140. Let n(b) = 5*a(b) - 15*g(b). Factor n(h).\nAnswer: 5*(h - 2)*(h + 67)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 319 is divided by 83?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.97 times -0.236?\nAnswer: 2.11692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 237*d - 223. Let x(h) = -235*h + 226. Let r(p) = -2*w(p) - 3*x(p). What is the first derivative of r(g) wrt g?\nAnswer: 231","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.187898 and -26.\nAnswer: 56.885348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 AM and 6:12 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 84*k - 34. Let o be s(20). Suppose -4*g = c - 537, -5*g + o = 3*c - 0*g. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*l - 56*l = -2*d - 35*l - 5, -4*l = 14*d + 4 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 678 divide 87388776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 116069 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/6)\/(1\/(-2)). Let z = -220 - -225. What is the nearest to z in n, -2\/7, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34551034 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: Let a(g) = 2*g**2 - 19*g + 11. Let u(k) = k**2 - 10*k + 6. Let s(v) = 6*a(v) - 11*u(v). Let l be s(4). Solve -4*y + l = 8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 6 = 3*y. Let n be 2*(117\/78 - (1 - 1)). Suppose k = -n*k + y*k. Solve k = -3*z - 9 - 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 + r - 5. Determine s(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 193141 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5262865 take away -0.2?\nAnswer: 5262865.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 minus 204.558049?\nAnswer: -197.558049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -76*z + 92*z - 18208. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2896 + -3110. Which is smaller: -14 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9 - -7?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6\/127873 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 38 - 37. Let z be ((-8)\/14)\/(8\/(-28)). Let w(x) = -1 + 2*x**2 + 0*x**z - 4*x**2 - 2. Let p(t) = 1. Determine a*w(l) + 2*p(l).\nAnswer: -2*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/62196 and -107\/1704?\nAnswer: 124392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 288 and 64.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of v**2 + 0*v**3 + 0*v + 0 - 1\/8*v**4. Let n(h) be the second derivative of h**3\/6 + 442*h. What is c(n(f))?\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t + 23*t**3 - 10*t**2 - 2 + 10*t**2 to p + u*t + h*t**3 + v*t**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 4*v = 151520 - 151459, 113 = -i - 7*v for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 183 - 160. Calculate the remainder when 44 is divided by b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 253873252078351.0000055 - 253873199848766. Let a = 52229608 - r. Let u = -23 + a. Round u to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (784\/6174)\/((-6)\/(-54)).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 3*i = -4, -14 = -0*w + w + 5*i. Suppose -15 = -5*m - 3*j - 11, 2*j - 3 = -3*m. Sort -4, w, m.\nAnswer: -4, m, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27906 times -10023\nAnswer: -279701838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p\/((p\/p**(-7\/5))\/p)))*p*p**(-2\/5))\/(p**(10\/7)*p*p*((p\/(p*p\/((p*p**(-4\/9)*p)\/p)*p))\/p)\/p*p) assuming p is positive.\nAnswer: p**(-247\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of x**4\/6 + x**3\/3 - 2*x**2 - 132*x + 166. Let k(q) be the first derivative of c(q). Let k(s) = 0. What is s?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 5 - 10. Let t be -2*2\/(-6)*u. Suppose -i + 3*q + 12 = 0, 0 = -3*q - 4 - 8. Solve i = -2*n - t for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**5 + 12*f**4 - 6*f**3 - 36*f**2 + 27*f.\nAnswer: 3*f*(f - 1)**2*(f + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1823 + -1803. Calculate the greatest common divisor of v and 9260.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 22\/(0 + (-3)\/6). Suppose -2*r = -8, 2*o - 20 = -2*o - 3*r. Let b be (-3)\/o - l\/8. Calculate the highest common divisor of 4 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1176009 and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -71510, -71100, -70424, -69482, -68274?\nAnswer: -66800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.075 - -0.065. Let s = -85.3 + 84.9. What is the closest to -1 in p, -3, s, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*y - 60*y = 30 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-979)\/267)\/((-1925)\/42)\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 2*x - 30. Suppose 3*d - 43 = -x*y, -6*y + y - 12 = -2*d. Solve -2*j - 16 = 2*s, s - 4*j - d = -2*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*r - 85 = 71*r. What is the second derivative of 171*l**4 - 87*l**4 + r*l**5 - 84*l**4 + 39*l + 3 wrt l?\nAnswer: 340*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 382364?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000618597854 to 5 decimal places.\nAnswer: -0.00062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 1020*k + 102. Let r be o(111). Round r to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 35.9 and -0.2288?\nAnswer: -8.21392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3333419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1231 + -1229. Solve -w - 2*z = -7*z + 3, -6 = i*w + 5*z for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4776 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3069 + 3252. What is the remainder when j is divided by 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 28 + 3 + 15 - (1 + 16)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 145825095 a multiple of 356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of -v**4\/12 + 4*v**3\/3 - 7*v**2\/2 - v. What is the units digit of q(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 12:43 AM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 AM and 12:44 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - sqrt(396)\/sqrt(4))**2 + -3 + sqrt(11)*3.\nAnswer: 3*sqrt(11) + 41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 68738.66 millennia?\nAnswer: 6873866","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-3*(0 + sqrt(17)) - (sqrt(136)*-1)\/sqrt(8) - (sqrt(204) + sqrt(204) + -3*sqrt(204))\/sqrt(12)*-1).\nAnswer: -3*sqrt(17) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -249 + 249.2. Let l = -3 + 1. Which is the third smallest value? (a) f (b) l (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29093795 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22.4 - -22. Let i be 1 + 4 - (68\/(-40) - -7). Which is the nearest to i? (a) r (b) 2\/13 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.037, 5\/238, 2\/23, -2\/3, 4 in decreasing order.\nAnswer: 4, 2, 2\/23, 0.037, 5\/238, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 5*w**3 + 3*w**2 - w - 3. Let l(a) = -2*a**3 + 2*a + 1. Let i(f) = 2*l(f) + x(f). Let u be -6*(4 + 28\/(-8)). Give i(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 + (36 - 63) + 52\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -852478 divided by 22.\nAnswer: -38749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**2 - x - 76*x**3 + x.\nAnswer: -76*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q - 18. Let c be o(0). Let r be 3\/12 + c\/(-24). Let j = r + 5. Calculate the remainder when 16 is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (285\/70)\/((-4)\/8)*392\/(-84).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 1179.37, -3, -429?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - -14)\/((7957\/146)\/(1\/(-4)))?\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 2*t - 28. Suppose -4*q + 0 = -t. Solve -j - q = -3 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1947440467?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33, 43, 43, 27, -11, -77, -177?\nAnswer: -317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4505 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**16\/o)\/o*o)\/((o*o**(-10\/9))\/o) assuming o is positive.\nAnswer: o**(145\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 108 = 4*r - 665, -207 = -r - 4*q. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of -1\/2*x**3 + 0*x**4 - x + 0 + 0*x**2 + 1\/20*x**5. What is the second derivative of i(g) wrt g?\nAnswer: 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/10*6\/8. Let n be 1\/4 + (-6)\/(-40). Let v be 99\/(-165) - (-11)\/15. What is the closest to n in z, v, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/6810 and 79\/104874.\nAnswer: 524370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 140, 45, -48, -139, -228, -315, -400?\n\"Answer: g**2 - 98*g + 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/10413 + 21836\/5258565. Let v = 2006\/3535 + j. Is v bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 3*c - 5. Let p be u(3). Suppose -y + p = 2*i, 0 = -0*y - y - 5*i + 4. Solve -2*v + 4 = 4*s, y*s + 4*v - 15 = 3*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1027 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a kilogram in grams?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 0.2 (c) -3 (d) 108\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -2*p + 126. Suppose 0 = 2*k + 8, 4*u = 2*k + 30 + 30. Let c = p - u. Is 14\/3 at least as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14713 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - -9) + (2 - 1) - -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -2*a**3\/5 + 106*a**2\/5 + 2828*a - 103488\/5 = 0.\nAnswer: -66, 7, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -30, 0, 2828, 1, -1, 8.\nAnswer: -30, -5, -1, 0, 1, 8, 2828","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = -2*t - 31, 9*t + 8 = 4*m + 13*t for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -10121230 (base 4) to base 13\nAnswer: -828a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -o**2 + 3*o - 3. Let s(k) be the third derivative of -k**4\/12 + k**3\/2 - 42*k**2 - 16*k. Calculate -3*a(r) + 2*s(r).\nAnswer: 2*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qff when three letters picked without replacement from qfffqqqffqfff?\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/((-2)\/(-4)) - 0. Let l be 1*(x + (1 - 1)). Let c be (19 - l) + 4\/(-2). Solve -c = -4*f + f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -129213842 divided by -4.\nAnswer: 64606921\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 117542431 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: Which is the third smallest value? (a) 0.2 (b) 0.13 (c) -0.0161 (d) 1604\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -3a?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37*n + 46*n - 69*n)*(0*n**3 + 6*n**3 - 3*n**3) + (-2*n**2 + 2*n**2 - 2*n**2)*(-3*n**2 + 0*n**2 + n**2) - 4*n**4 + 2*n**4 + n**4 + n + 2*n**4 - n.\nAnswer: -175*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/6 - 3490*m**2 - 13959*m\/2 - 10469\/3.\nAnswer: -(m + 1)**2*(m + 20938)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 6*o + 21 = 0. Solve -o*i - 26 = 9 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45828 less than or equal to 45827?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9 - -9 - -4) + 9 - -1364884 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*i**2 - 48*i**2 - 7*i + 7*i to f + w*i**2 + k*i and give w.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 34\/2 + (-5085)\/85 + 43\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/78 and 39\/7.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 15*h**2 - 1 + 10.\nAnswer: -15*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -395 - 255. Suppose -5*r = -5*g - p, r - g - 116 = -3*r. Let d = r + -16. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - -2263?\nAnswer: 2260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1932 and 11592.\nAnswer: 11592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9 or -116\/15?\nAnswer: -116\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of -y**5\/20 - 2*y**4\/3 - 4*y**3\/3 + 2*y - 14. Calculate m(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8928 and 335544.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3. Let j(d) = 4*d**3 + 1. Suppose 2*o = 15 - 5. Let a(m) = m**3 - m - 1. Let l be a(-1). Calculate l*j(c) + o*g(c).\nAnswer: c**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.3 or 785\/627?\nAnswer: 785\/627","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1074 + 114*l - 544 - 530.\nAnswer: 114*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -43266 + 1?\nAnswer: -43265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 270871 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 121 - 225\/2. Is h at least as big as 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a - 30 = -0. Solve o - a*g + 0*g + 10 = 0, -g - 6 = 2*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = 21*n - 292. Which is smaller: 122\/7 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3539.9 (b) 2\/15 (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 418 in 3, 3\/2, 5, 7, 0?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -20 (b) 1.1 (c) 46 (d) 1\/3 (e) 5 (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -64\/50547 and 85\/399.\nAnswer: 960393","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 7, u: 5, w: 4}. Give prob of picking 3 d.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 96 and 441832.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3363\/(-133) + (-16)\/(-7). Suppose -5*y - 3*t + 5 = -9, 0 = -y + 2*t - 5. Is c at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -128276\/5 - -25656. Which is the closest to 1\/22? (a) g (b) 4 (c) -0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*x - 22*x**3 - 1 + 0 - x - 4*x wrt x?\nAnswer: -132*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of 517*c**5\/20 + 503*c**4\/6 + 225*c. What is the third derivative of h(s) wrt s?\nAnswer: 3102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -66*r + 60*r + 30 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + -5 - (-12)\/4)\/(1 + -2). Put -3\/8, g, 2, 0.1, -0.1 in descending order.\nAnswer: 2, g, 0.1, -0.1, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 4*m = -7 - 9, -4*h - 3*m = -20. Suppose 0*k = 2*k - h. Suppose 4*s - c - 108 = -k*c, 3*s - 60 = 3*c. Is 12 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 11) to base 6.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 704 and 26851?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 - 39. Let y be x(-7). Suppose -109 + 95*i**3 + y*i**5 - 161*i - 51 - 290*i**2 + 75*i**4 - 319*i = 0. What is i?\nAnswer: -4, -1, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of d**4\/2 - 2*d**3 + 6*d**2 - 10*d + 13. Does 11 divide f(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 7*u + 36. Let s = u + 8. Is -1\/14 less than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 58*s - 6294 + 10679 + 9071. Which is smaller: s or -246?\nAnswer: -246","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*n**2*w**2 - 12*n**2*w - 10359*n**2 wrt w?\nAnswer: 14*n**2*w - 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 3)*(2*o + 2 - 2) + 2*o + 9*o + 2*o - 61*o - 104*o + 4*o.\nAnswer: -156*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-2*3*(5 + -2 + 1 + -2*sqrt(363) + 5)**2.\nAnswer: -11880*sqrt(3) + 45990","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 25724*q**2 + 2*q + 22128.\nAnswer: 51448*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 + 2*a - 3. Let t be n(-3). Suppose 0*r - 3*r + 6 = t. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 5. Let v be (i + 2)*(0 + 2). Solve -4*m + 4 = -3*r, -v*r - 1 = -m + 13 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 45 + -3?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 - -2. Suppose 674 = 9*n + 179. Calculate the remainder when n is divided by b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in -36, -7, 8293?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27375127 to the power of 1\/2, to the nearest integer?\nAnswer: 5232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 PM and 3:48 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 11010011011001110?\nAnswer: 11010011011001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*a**3*d**3 - 2*a**3*d*y**2 + a**3*y**3 + 7*a*d**2*y**3 - 2*a*y**2 - 3*d**3*y**3 - d**2*y**2 wrt y?\nAnswer: 6*a**3 + 42*a*d**2 - 18*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 AM and 5:16 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1579879 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4632 - 4455. What is the highest common factor of u and 2242?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m - 7. Let f be g(11). Are f and 13 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 277 + 264 + 275 - 816 + 10994*a as t*a + s and give t.\nAnswer: 10994","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8040308279 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 371491919 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*q - 4*q + 222*q**4 + 2*q**3 + 5*q + q + 4*q in the form k*q**4 + j + z*q**2 + p*q**3 + w*q and give k.\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1204 - -1210. What is the remainder when 7 is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, q: 1, w: 1, o: 5, t: 1}. What is prob of sequence oto?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3033232132 + 11010?\nAnswer: 3033303202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33, -25, -17, -9, -1, 7?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 23 + 25 = 0. Let b be (-12)\/m + 177\/(-348). Which is smaller: b or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7269561 a multiple of 1251?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2302 - 0.6\nAnswer: -2302.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20.3 + -20. Let d(c) = -21*c - 8. Let k be d(-6). Let p = 592\/5 - k. Which is smaller: z or p?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = -4*d + 26572, t + 0*t = 4*d - 26558. Is 19921\/3 >= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 6*a - 50 + 16 + 15 + a + 16. Let q(j) = 13*j - 3. Let x(z) = 53*z - 11. Let l(y) = -9*q(y) + 2*x(y). Let k(v) = 8*c(v) + 5*l(v). Give k(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 16*t + 18 = 13*t, -14*u = -7*u + 3*t + 36 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v + 2*v - 3*v)*(4 + 3 - 3)*(-3 + 1 - 17).\nAnswer: 380*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44646 is divided by 104?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/184 and 59\/16.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3, 2.2, 10?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(162) + sqrt(24)\/(sqrt(24)\/sqrt(2)).\nAnswer: -3 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 2*g**4\/5 + 2266088*g**3\/5 + 9064328*g**2\/5 + 1812864*g = 0.\nAnswer: -1133040, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 1. Let k be ((-11)\/(33\/(-12)) + -5)*(-18)\/(-3). Put k, p, -4, 3 in descending order.\nAnswer: 3, p, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 82 = 2*y - 0*q, -3*q = 2*y - 74. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 11) to base 9\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1045942 to the nearest integer?\nAnswer: 1023","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 + i**2 + 2*i + 56. Suppose -j - 8 = -4*v, -2*j = -7*v + 4*v + 6. Let u be x(j). Let o be 16\/u + (-15960004)\/14. Round o to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 + 26. Let k be i(-5). Solve 2*h - 5 = k for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 20\/3*96\/10. What is the highest common divisor of 16 and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39476 - 39476 - 2*b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2144 + 4?\nAnswer: -2140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -42? (a) 0.3 (b) 15 (c) -0.41 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 100468103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -6*l + 6 - l**3 + 4*l - 3*l**2 + 0*l - 2. Let j be r(-3). Find the common denominator of 133\/12 and (-27)\/1*5\/j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**2 - 25*m - 93. What are the prime factors of a(-18)?\nAnswer: 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 1329*w**2 + 479*w**2 - 3496*w**2 + 4)*(3*w**2 - 3*w**2 - 2*w**2) to l*w**4 + g + y*w + k*w**3 + t*w**2 and give l.\nAnswer: 8692","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4+47930\nAnswer: 47926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = 4*y - 3, 0*y - 5*f = 4*y + 27 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 - 5*l + 4. Let w be q(5). Suppose -w*a + 133 = -3*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y. Let r be (-2 + 1)\/1*2. Let a(o) = 158*o - 316*o + 1 + 157*o. Give r*j(k) - a(k).\nAnswer: -k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 54, -3, 6 in descending order.\nAnswer: 54, 6, 5, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 4*u**2 - 39328*u - 511940 = 0.\nAnswer: -13, 9845","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -23590300 to the nearest 100000.\nAnswer: -23600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + -4. Let i(b) = 5*b + 1. What is i(w)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 132555 * 2\nAnswer: 265110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*z**2 + 60*z**2 + 31*z**2 - 1 - 7*z**2 + 1.\nAnswer: -7*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, r: 3, p: 3, a: 1, i: 2, t: 3}. What is prob of sequence ja?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 116289, 116288, 116287, 116286?\n\"Answer: -h + 116290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 86199, 86193, 86183, 86169, 86151, 86129?\nAnswer: 86103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + 2. Suppose f + 5*r - 10 = 0, 2*r = -f - 0*f + m. Suppose 5*n = -3*q + f, 0 = 3*n + 11 + 4. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 104 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + u + 1 = 2*h, 4*u + 18 = 3*h. What is the third derivative of -6 + 15 + 17*s**3 + 3*s**h - 9 wrt s?\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2806*x**3 + 8752*x**3 + 2082*x**3.\nAnswer: 13640*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-5*(-10)\/(-225))\/((-447)\/4023)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 20023, 160261, 540919, 1282207, 2504335, 4327513?\n\"Answer: 20035*j**3 - 7*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -622 + 932. Let v = -302 + w. Calculate the remainder when 8 is divided by v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 - 26 = -5*z. Let v be -1*(z - 3) - -3. Is (310\/(-4))\/(v\/12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b**2 + 9*b + 11. Suppose 0 = -w + p + 13, 3*w = -0*p - 3*p + 33. What is the remainder when l(-7) is divided by w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1045 and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 3*d + 122, -3*o - 2*d = -0 - 100. Solve -36*a = -o*a - 16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*l + 6*l - l)*(2 - 4 + 4) + 0*l + 4*l - 2*l - 3 + 2*l + 3 - 158*l - 104*l - 49*l + (-2 + 0 + 3)*(l + 3*l - 3*l) as f + g*l and give g.\nAnswer: -302","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q - 7*q = 508. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3479 = -930*b + 1001*b for b.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2669231 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/2*-12*8\/128?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = k, 2*k - 27 = -5*u + 4*k. Is 3093 + ((-10)\/u - 3) + 5 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3011809500?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 780 by 156.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0586475203 to 5 dps.\nAnswer: -0.05865","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h - 6. Let t(p) = -4*p - 19. Let g(b) = -7*n(b) + 2*t(b). Let y be g(2). Find the second derivative of -y*i**3 - i + 11*i - 3*i wrt i.\nAnswer: -12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*p = 11*p + 6*o - 150, -4*o - 104693 = -104697 for p.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + 1. Let a(x) = -3*x**3 - 4*x**2 + 20. Determine a(s) + 2*p(s).\nAnswer: -3*s**3 - 2*s**2 + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/(-2))\/2 - (-3 - 7). Is -2 less than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27 and 412290?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of 0 + 11\/2*a**3 - 2*a**2 - a. Is d(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 96 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2.3*0.04\nAnswer: -0.092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1170*h - 1173*h - 1 = -2*u, -u + 32 = -2*u - 5*h for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -138460 by 27692.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 - 0.1. Let m = 0.92 + 0.08. Let o = -79 + 79. What is the closest to i in m, 4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v**2 - 23*v - 40. Suppose 25 = -3*g - t, -5*g + 27*t = 30*t + 39. Give m(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -62*b + 51*b + 22. Is 39\/37 at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14258 - 13640. What is the remainder when s is divided by 58?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8056000, 8056001, 8056004, 8056009, 8056016?\nAnswer: 8056025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 88, 380, 824, 1360, 1928, 2468?\nAnswer: 2920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13*a**4*f*h + 2*a*f**3 - 18*a*h - f**3 - 8*f**2*h + 89*h wrt a?\nAnswer: -52*a**3*f*h + 2*f**3 - 18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3 + 0 + 23*k**2 - 16*k**3 - k**4 - 11 + 9 wrt k.\nAnswer: -24*k - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 304 or 305?\nAnswer: 304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 227145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 529757484?\nAnswer: 2, 3, 44146457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 - 35.1578.\nAnswer: -44.1578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 344*r**3 + 4602 - 4448 - 154.\nAnswer: 344*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1300 (base 10) to base 7.\nAnswer: 3535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11915?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7723 + 12083. Does 40 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10265 + -5648. What are the prime factors of y?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + v**2 + 5)*(v + 10*v - v + 6*v).\nAnswer: 16*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 z when three letters picked without replacement from aaazzzz?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-4719)\/(-132))\/143)\/((-27)\/(-2))?\nAnswer: 1\/54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide (-54)\/(-4)*(-330)\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 - 17 = 2*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -88\/13 + 463\/78. Let n = 0.3 + 0.1. What is the second biggest value in -1\/4, n, o?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 243024247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b\/(b*(b\/b**(3\/10)*b*b)\/b)))\/(b\/b**(1\/2)))\/((b*b**(-3))\/b)**(-8\/9))**(2\/43) assuming b is positive.\nAnswer: b**(-14\/645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -164.1744 - -5.1.\nAnswer: -159.0744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -j**4\/4 - 107445*j**3\/4 - 2885623433*j**2\/4 + 25980389301*j\/4 + 14432952645\/2 = 0.\nAnswer: -53727, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 + 4*p - 1. Let t be n(2). What is the derivative of 2 + 120*v**2 - 120*v**2 - t*v**3 wrt v?\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(120)\/sqrt(3))\/((sqrt(896) + sqrt(56))\/sqrt(7)).\nAnswer: -3*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14*3\/(-144))\/((-10)\/(-2)*(-72)\/(-10080)).\nAnswer: -49\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1088 - -604. Is f a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -651*x = -626*x - 8800. Calculate the greatest common factor of x and 209.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 - 24. Suppose -z = 5*r - r - 3*d, 2*r + 3*d + 20 = 0. Is -25\/6 less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*2.0408\nAnswer: 0.81632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5031, 47168, 161523, 384204, 751319, 1298976, 2063283, 3080348?\n\"Answer: 6018*t**3 + t**2 + 8*t - 996","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8671 and 1186419.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 - u**2 + 2*u + 8. Let f be z(0). Let q(r) = -4*r**3 - 2*r**2 + 1. Let h be q(-1). Suppose 7 + f = h*p. List the prime factors of p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 14*v + 232. Determine d(-16).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vpggvvvpppvgppvpgv. What is prob of picking 2 g?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -12 + 42. Let k = 30 - v. Calculate the highest common divisor of 16 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r = -5*r - 314. Suppose 8*k + 37 - r = 0. Solve -w - 2*c = 12, -6*w + k = -11*w - c for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 65 = -3*y - 53, -2*y = c + 2 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-16))\/((t\/(t*t\/(t*t**(5\/11)*t)))\/t)*(t**(3\/5))**(47\/3) assuming t is positive.\nAnswer: t**(-333\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**5\/4 - k**4\/4 + 55*k**3\/2 - 269*k**2\/2 + 755*k\/4 - 325\/4 = 0. What is k?\nAnswer: -13, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28*(-26)\/51688*(-3)\/3?\nAnswer: -1\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 72, -50, -4, 16, -27, 1 in decreasing order.\nAnswer: 72, 16, 1, -2, -4, -27, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - 1. Let h be (-18)\/9*2\/4. Let a(y) = -3*y**3 + 2*y**2 + 3. Determine h*a(o) - 4*q(o).\nAnswer: -o**3 - 2*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -749, -1485, -2267, -3119, -4065, -5129, -6335, -7707?\n\"Answer: -4*j**3 + j**2 - 711*j - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8886801nm to millimeters.\nAnswer: 0.0000008886801","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -3. Let n = 0.8 - 1. Let o = 5.33 - 7.33. Which is the nearest to d? (a) n (b) o (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/4*-3 + (-7)\/(-2). Let l = -4.5 + 4.4. What is the third biggest value in 5, w, l, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 1712 + ((7 - 16) + 7)*-2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vlvlbllv. Give prob of picking 1 v and 1 b.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -15785650900 rounded to the nearest 1000000?\nAnswer: -15786000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 9*b - 9. Let i be p(4). Let c = i - -40. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.20871 + 14.80871. Which is the fourth biggest value? (a) -8 (b) -1\/2 (c) -0.3 (d) 0.2 (e) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 210213 (base 5) to base 14\nAnswer: 2753","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seven quarters of a millennium?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 131403?\nAnswer: -131403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -33303 times -210?\nAnswer: 6993630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 137 - 118. Is h greater than or equal to -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + 2*l**2 - 7*l - 4. Let d(m) = -6*m**3 - 11*m**2 + 36*m + 20. What is 2*d(a) + 11*g(a)?\nAnswer: -a**3 - 5*a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 15*m - 11*m. Let u be 4\/6 - 2\/3. Let h(w) = 65*w - w**2 + u*w**2 + 4 - 69*w. Calculate h(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 8*x**2 + 8*x + 1. Let f = 319 + -326. Determine u(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - ((20 - -1) + -5). What are the prime factors of (f - -7)*(-40)\/2?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 2*l, -3*f - l = 0. Suppose -4*s + 2*s + 3*y + 4 = f, -5*y - 13 = 3*s. Let t = 2 - 3. Is s at most as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**4 - 1 + 1)*(-4 - 1 + 2) - 3*x**4 + 3*x**4 + x**4.\nAnswer: 4*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-63)\/18375*-105)\/((-6)\/130)?\nAnswer: -39\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that d**2 + 3209*d + 1106688 = 0.\nAnswer: -2816, -393","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -100 - 23?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 75827048 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g + 30 = 8*g. Let k be ((-1)\/(-6)*9)\/(g\/(-16)). Let z(s) = -s + 6. Calculate the remainder when z(k) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/34328 and 5\/14588.\nAnswer: 17884888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/36 and -163\/1019046.\nAnswer: 6114276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -86*n**3 - 2*n**2 + 1. Is l(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*1\/(2\/(-6))*(-4)\/(108\/(-99)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(95) + 4*sqrt(95)) - sqrt(95)) + (1*sqrt(95) - sqrt(95))*1)\/(-2*(sqrt(20) - sqrt(140)\/sqrt(7) - sqrt(20))*4).\nAnswer: 29*sqrt(19)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/((-2)\/2))\/((-42)\/(-8))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -82 - -159. Let j = 157\/2 - x. Let n = -731.9 - -729.9. Is n not equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 120 = -19814*x + 19826*x for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = i - u - 11, -3*u - 33 = -4*i. Suppose -4*g + 3*g + i = 0. Solve 3*z + 0 = -g for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*y = -457 - 421 + 68 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -258*c + 36120. What is j(140)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1448009 and 15181?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 PM and 9:43 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6497167711 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -112 - -117. What is the third biggest value in 1\/9, z, 3\/7?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.7 and 68.7.\nAnswer: 48.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(432)*3 + sqrt(432))**2 + sqrt(432) - (sqrt(6912) + sqrt(6912) + -2)**2.\nAnswer: -20740 + 396*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (23 + -1 + -11)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3196\/(-1872) + 5 + (-6)\/39 and -89\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/793 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 956260 and 19316452?\nAnswer: 96582260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 4*o - 3*g = 10, 3*o + 4 = -4*g. Let v be o\/(-18) - (-654)\/(-27). Let d = 25 + v. Is -3\/14 bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 391318469 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3 + 443*i**2 + 16396*i - 34572.\nAnswer: (i - 2)*(i + 43)*(i + 402)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3108*w - 46536. What is x(15)?\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -18 + (3 - 0 - 1\/((-7)\/14)). Let u(o) = 2*o**2 + 23*o - 30. What is u(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w + 2403 = -3*w. What are the prime factors of w?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(5\/4)*o*o*o)\/o*o**(1\/4))\/(o**(-1\/8)*o)**(-28\/5) assuming o is positive.\nAnswer: o**(47\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 8 = -2*f. Let v(q) = -q - 1. Let y(z) = -6*z - 3. Let k(w) = f*y(w) - 12*v(w). Let u(m) = 0*m + m + 2*m + 3*m. Give u(k(r)).\nAnswer: -72*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-69)\/12 + (-1)\/4. Let u(a) be the first derivative of -a**3\/3 - 3*a**2 + 4*a + 5. Let d(f) be the first derivative of u(f). Give d(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -w**3\/9 - 8*w**2\/9 - 5*w\/9 + 14\/9 = 0.\nAnswer: -7, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 0. Suppose 5*o - o + 22 = 2*j, z*j = -5*o + 67. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -125*w**4 - 29*w**2 - 6*w - 42 wrt w?\nAnswer: -1500*w**2 - 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1902366nm to meters.\nAnswer: 0.0000000001902366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*n**3\/4 + 715*n**2\/2 + 29645*n\/4 + 39930 = 0. Calculate n.\nAnswer: -264, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.99 - -6. Let m = s - -0.49. Let w = 2 + -1. Which is the second biggest value? (a) m (b) 2\/3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1574996?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 66 - 63. Let v(a) = 3*a + 0 - 2 - 2. What is v(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**2\/7 + 2356*u\/7 + 45520\/7.\nAnswer: 4*(u + 20)*(u + 569)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 126*w**2 + 40*w**2 + 5*w - w - 2*w in the form f*w + j*w**2 + g and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cjjujjvjg. Give prob of picking 1 v, 1 u, and 1 j.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10224 (base 7) to base 16.\nAnswer: -9d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16149 is divided by 1345?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*o + 3*o - 15*o - 15*o to the form x*o + z and give x.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 123, 214, 357, 552?\n\"Answer: 26*w**2 + 13*w + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 404 + 2*k + 0*k - 803 + 399.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*p = -91*p + 16. Suppose -p*w + 2*w + 1026 = 0. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 205090290*c**2*m + c*m - 3*c + 4*m + 4405943 wrt c.\nAnswer: 410180580*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 256\/7 and 38 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*x**4 - 40*x**3 - 20*x**2.\nAnswer: 5*x**2*(x - 2)*(5*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 61.\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -3*b + 18095, -18*q + 13*q = -4*b - 45180. Suppose 13*h + 3*h = q. What is the remainder when h is divided by 63?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q - 5*k + 41 = 37, -2*q + 3*k + 4 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**3 - 3 + 3 + (-d**2 - 1 + 1)*(d - d + 2*d) + 0*d**3 - 2*d**3 + 3*d**3 + 9 - 27525*d**3 + 27537*d**3 + 5.\nAnswer: 9*d**3 + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-12)*((-3)\/(-3) + 73). Suppose -14*w + q = 9. Determine h, given that 10\/3*h**w + 10\/3*h**3 + 5\/3*h**4 + 1\/3*h**5 + 1\/3 + 5\/3*h = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2 - 4*m - 168.\nAnswer: 4*(m - 7)*(m + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-6)*(17 + (-924)\/54)?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 272 and 176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20275366 is divided by 171.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3464, 5556, 7674, 9830, 12036, 14304, 16646?\nAnswer: 19074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + t - n + 10, -t = -3*n + 15. Let r = t - -5. Let x be (-2)\/2 + r + -3. Sort 2, x, 5 in decreasing order.\nAnswer: 5, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 526.\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-3) - 17\/(-24). Let n = -160.6 + 160.6987. Let j = 1.9013 + n. Which is the smallest value? (a) 3 (b) w (c) j (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v**3 + 92*v + 37*v**2 - 89*v + 3*v**3 + 128. Let o be x(-37). Solve -4*r - 4*h = h - 35, 4*r - h - o = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99896.\nAnswer: 2, 12487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 12:46 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 177 + 195 = 3*h, -4*a + 8 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-31440)\/(-132) - (-4)\/(-22). Let r(h) = h**2 + 2*h - 3. Let j be r(-4). Suppose -j*y + v = -112. What is the greatest common divisor of y and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of 0*l**3 - 15\/4*l**4 + 0*l + l**5 + 88 + 10*l**2. Factor d(c).\nAnswer: 5*c*(c - 2)**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1236721, 1236795, 1236903, 1237033, 1237173, 1237311, 1237435?\nAnswer: 1237533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11212, 11211, 11210?\nAnswer: 11209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20722*b**2 - 18070*b**2 - 21965*b**2.\nAnswer: -19313*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1310545.065698 and -588.\nAnswer: -1311133.065698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2179.\nAnswer: 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 7*a - 55. Let h = -25 - -80. Calculate the greatest common factor of h and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 + a - 42. Let n(j) = j**2 - j + 28. Suppose 40*w + 234 = -39*w - 161. Calculate w*m(l) - 7*n(l).\nAnswer: -2*l**2 + 2*l + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -345.0562 + 345. Let i = a + 0.4562. Sort 5, i, -0.3, 4.\nAnswer: -0.3, i, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 - 35*s - 38. Let h be f(-9). Suppose -c - 12 = -4*c. Suppose -2*t + h = -0*t + 2*w, -c*t + 360 = -4*w. What are the prime factors of t?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -648599000 to the nearest 1000000.\nAnswer: -649000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52509 is divided by 51999?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 168090 rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 227668394?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (3 - 2 - 3) + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-150)\/4*(4\/(-110))\/((-108)\/297)?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.23038 and 2.\nAnswer: -0.46076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31793*f*z**3 - 200633*f*z**2 wrt z.\nAnswer: -190758*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40548 and 730736?\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 440616301?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1159 - 4*d**2 + 1159 - 9*d + (2*d - d - 2*d)*(-5*d + 4*d + 2*d) + d**2 - 3*d**2 + 0*d**2 to the form l + j*d + q*d**2 and give j.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1862685867 times 0.2?\nAnswer: 372537173.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 149975008 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6251 - 50235 = -2*l. Let r = l - 35686. Let i = r - -32694. Round i to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 36 = -5*l. Suppose -3890 = -l*b - b. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**3 - 7737808*v**2 + 3742104540304*v.\nAnswer: 4*v*(v - 967226)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -5*f**2 - 154*f + 72. Determine v(-30).\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3*b + 23. Let n be r(-6). Solve 4*g = 3*c - 2, n*c - 5 - 2 = 3*g for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7131763, 14263516, 21395269?\nAnswer: 28527022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -r**3\/21 - r**2\/14 + 2*r\/7 + 5. Suppose p(c) = 0. What is c?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -19695.\nAnswer: -2\/6565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -6*h + 134. Let y be g(22). Solve -5*t + 9 = 2*b, 2*t - 4 = -y*t for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - 336?\nAnswer: -33b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*19\/2 + -3. Suppose 5*z - 3*y + g = 50, 5*y = -15. Suppose -5*b = -u + 8, 4*u - z*b = -0*u + 47. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v. Let m(i) = -3*i. Let x be m(2). Let n(j) = -2*j. Let k(t) = 9*t. Let y(w) = x*k(w) - 26*n(w). Calculate g(y(z)).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55587 - 27815 - 27772 - 1037*i**2.\nAnswer: -1037*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxvxxvxvxxv. What is prob of picking 1 v and 2 x?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of 3*v**7\/70 + 9*v**6\/40 + 193*v**5\/20 + 63*v**2. What is the third derivative of p(b) wrt b?\nAnswer: 216*b + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-111)\/((-212121)\/59332) - (-2)\/(-42)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -304 * 6.\nAnswer: -1824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/5)\/((-30)\/50)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 4*s**2 - 104*s + 943. Let y be c(12). Solve 67*x = -131 - y for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 1\/7 (c) -0.7 (d) 31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 9405823 - -113.6\nAnswer: 9405936.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.01 (b) 3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -134c - -2?\nAnswer: -134a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -27 + 16 + (11 - 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.054 * 1814.\nAnswer: -97.956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (61 - 61 - 12*q)*(-10 - 2 - 2)*(3 + 3 - 4).\nAnswer: 336*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z - z + 5*z - 4*z. Let f(l) = 4*l**2 - 2*l**2 - 4*l**2. Calculate c(f(p)).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 + 0)*(-3*i + i - i) - 8 + 2*i + 8 + (-2*i + 2*i + i)*(-4 - 4 + 5) in the form v + d*i and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 190274023 to the nearest integer?\nAnswer: 575","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4185 + 4213. Solve -2*j - 23*c = -27*c + i, 11 = -4*j - c for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*o - 6 = -43*o, -3*r - 4*o = 27. What is the third biggest value in -2\/13, r, -9\/4, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -7*r**2 - 11*r - 6. Let f(t) = -13*t**2 - 21*t - 12. Let u(j) = 11*b(j) - 6*f(j). Calculate u(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 + ((-55)\/44)\/(20\/(-16))*-5.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5 - 1160\/(35\/(-7)). Let v = -220 + k. Calculate the greatest common divisor of v and 161.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 4*i**3 + i**2 + 2*i - 2. Let a be 3\/(-3 + 27\/12). Let x be 6*a*4\/(-48). What are the prime factors of h(x)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 2:24 PM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) -2\/7 (c) 0.07345 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 3*y + 59847 = 0, -9 = -y - 2*y. What is the ten thousands digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-9)\/((-27)\/(-6))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 459382, 4, -421?\nAnswer: -421","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 156055 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*f**3 + 112*f**2 + 252*f + 72.\nAnswer: 4*(f + 3)*(f + 6)*(3*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q*(q**2\/q)\/q)\/q)\/q**(9\/5)*(q\/(q**(-8)\/q))\/q**7*((q*q**(-12))\/(q\/q**(1\/3)))**(7\/5) assuming q is positive.\nAnswer: q**(-212\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -3*l + 258, -5*j - 2*l + 526 + 803 = 0. Let t = -267 + j. Which is the second smallest value? (a) t (b) 2 (c) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 PM and 3:03 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 250 divided by 77281\nAnswer: 250\/77281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136 = -7*i + 353. Let d = 170 + i. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -42, -13, 38, 111, 206?\n\"Answer: 11*x**2 - 4*x - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of -23*c**3\/6 + 78*c + 20. Let y(j) be the first derivative of a(j). Let l(t) = 4*t. Determine y(l(z)).\nAnswer: -92*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 1495.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**4 - p + p + (0*p + 0*p - 5*p)*(-2*p**3 + 5 - 4 + 1).\nAnswer: 9*p**4 - 10*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*v + 170 = 332 - 68 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 832aa?\nAnswer: -832a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -13\/60 less than or equal to 1096?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-21912)\/28)\/(105\/(-490))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6846557 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 + 7*m + 4. Let c be q(6). Suppose 57 = 5*f + 3*k, -f - 1 = 3*k - c. What is the highest common divisor of f and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1101*k - 1646 + 191*k + 826 + 820 + (4 - 3 + 0)*(2*k + 3*k - 6*k) as g + a*k and give a.\nAnswer: -911","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 0.1. Suppose 2*b - 14 + 5 = 3*d, b + 6 = -2*d. Let u = b - 4. What is the closest to -1 in u, k, 1\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -392 + 395. Suppose 0 = v + 5*g - 7, g = -3*g + 8. Put -5, v, k in descending order.\nAnswer: k, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58, -319, -746, -1333, -2074?\nAnswer: -2963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16478 is divided by 82.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -13338?\nAnswer: -1333.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.04 (b) 2 (c) -5 (d) -0.24 (e) 0.1 (f) -7.92 (g) -0.02\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 761*g + 933 - 18019 - 2700 for g.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of d**5\/40 + d**3\/6 - 4*d**2. Let j(w) be the first derivative of h(w). Let a(k) = 3*k**2 + 95 - 88 - 7. Determine j(a(i)).\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: ((-4698)\/189 - -25) + 99\/(-7)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -2, 3*j + 6 = r - 0*j. Solve 3*n + l = 0, -3*n - r*l = l for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 122\/183*(-3)\/1*132\/(-24).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 21 - i**2 - 6.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**2 + 8*n - 8*n)*(-2 - 15 - 3)*(-4*n - n + 2*n).\nAnswer: 60*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (1 + -12 - 4) + (-2942 - -3010).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 + 34. Suppose 0 = f + 4, f - 1 = -k + c. Calculate the smallest common multiple of k and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -33*b - 4. Let t(w) = 8*w + 1. Let o(g) = -2*q(g) - 9*t(g). What is the units digit of o(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1744?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 822 - z - 409 - 415 - 3*z**2 + 0*z**2 as k*z + x + p*z**2 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2 + 43407*v - 86826.\nAnswer: 3*(v - 2)*(v + 14471)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32 and 144.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 382980 and 228540.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t - 2*t - 2 + 6 - t**2. Suppose 0 = -4*p - 115 + 99. Give b(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 3, -5, 7, 2, 334 in ascending order.\nAnswer: -5, -3, 0, 2, 3, 7, 334","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-758 - 1008 - 1402)*(2*t**2 - t**3 + 2*t - 2*t**3 + 0*t**3).\nAnswer: 9504*t**3 - 6336*t**2 - 6336*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 3*x**2 + 4*x. Let y(s) = -3*s**2 - 4*s. Determine -3*h(d) - 2*y(d).\nAnswer: -3*d**3 - 3*d**2 - 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -96564 in 4\/3, -2, 0, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 3 (b) 2 (c) 49.9 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053)*3*-4*-3)**2 - ((sqrt(13) - ((-1*sqrt(13))**2 + -4) - 6*(-1 + sqrt(13))) + -2).\nAnswer: 5*sqrt(13) + 1364693","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 357 is divided by 91?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 157604785003 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2345043 to the power of 1\/2, to the nearest integer?\nAnswer: 1531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 4:59 PM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*((m**1\/m*m)\/m)\/m)**(-16)\/((m*m**(3\/17))\/m**(-27\/5)) assuming m is positive.\nAnswer: m**(-559\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - -1 - (-2 + 15 + -43 + 28 + 49)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t + 6. Let h(m) = 2*m - 5. Let d(c) = 5*h(c) + 4*x(c). Let l = -49 + 43. Let a(k) = k**3 + 5*k**2 - 2*k + 23. Let g be a(l). Calculate d(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/6)\/(-4)*-8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-378)\/40)\/(-7)*(-11068)\/8301*(-35)\/(-3)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 10:53 AM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2019*z + 5. Let v(d) = 1008*d - 2. Determine 3*k(g) + 7*v(g).\nAnswer: 999*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51*-81.7229.\nAnswer: 4167.8679","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - v + 4*x - 4, -5*v - x - 17 = 0. Let q(c) = c**3 - c**2 + c + 3. Let a = 5 + -5. Let j be q(a). Sort 2, j, v.\nAnswer: v, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4007\/15 + -267. What is the biggest value in f, -0.5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 4 + (-20)\/(-5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8450 - -8436. Put 1\/11, -4\/5, 2\/7, a in descending order.\nAnswer: 2\/7, 1\/11, -4\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000340844042 to 6 dps.\nAnswer: -0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -348 - -462. Let f = b - 120. Let p = 0.8 + -0.4. What is the third smallest value in 0.1, p, f?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y. Let w(x) = -6*x - 3 + 0 + 3. Let f be (-4)\/10 - 33\/5. Let n(z) = -3*z. Let m(h) = f*n(h) + 3*w(h). Determine p(m(l)).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*o**2 - 6*o**2 + 10*o**2)*(6*o**3 - 3*o**3 - 4*o**3).\nAnswer: 15*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 13*g + 16. Let m be b(-4). Let d = 76 - m. Let i(k) = k**2 - 8*k - 1. Let f be i(11). What is the highest common divisor of f and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(55\/2)\/11.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4608 - 2304. Is 13 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16183 to the power of 1\/2, to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -65 (b) -3 (c) 2\/9 (d) -1 (e) -20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3*q**3 - 14*q**2 - 9*q - 26. Let r(a) = 8*a**3 - 41*a**2 - 28*a - 77. Let c(v) = 11*h(v) - 4*r(v). Let z be c(-9). Is -2 smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 130*g**2 - 122*g - 1942. What is the tens digit of n(-14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1955201, 1955536, 1955869, 1956200, 1956529, 1956856, 1957181?\n\"Answer: -d**2 + 338*d + 1954864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t**2 - 13256096*t + 13256100 = 0. Calculate t.\nAnswer: -3314025, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*j - 15*j + 54*j - 17*j.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -5 (b) 0 (c) 0.2 (d) 1.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 378 + 3550e?\nAnswer: 35887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of p**4\/24 + 5*p**3\/6 + p**2. Let h be d(-9). Put -3, h, -1 in increasing order.\nAnswer: h, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v + 7*v = -3*v + 170 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*w**4 - 10*w**4 - 3*w**2 + 2*w - 2*w**3 + 0*w**4 as d + r*w + v*w**4 + q*w**2 + j*w**3 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 183403439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**5\/2 - 13*p**4\/2 + p**3 + 13*p**2 - p\/2 - 13\/2 = 0. What is p?\nAnswer: -13, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 41 = 5*g, 496*g - 498*g - 2*z - 8*z = -230 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 15) to base 10\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 4*n, -3*n + 0*n - u = 0. Suppose -6*a + a + 30 = n. Let r(k) = 3 - 1 - a*k + 0 + 1. Give r(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 236 - -396.\nAnswer: 632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u - 228 = -192. Suppose n + 0 + 8 = 0. Calculate the least common multiple of n\/(-20) + (-13)\/(-5) and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 294 = -5*c - 2*c. Let b be 4\/5*(-35)\/c. Put -1, 18, b in decreasing order.\nAnswer: 18, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 3) in base 16?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqqqqqq. What is prob of picking 4 q?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1383*r**3 + 1625*r**2?\nAnswer: -8298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*h*p**2 - 5*h*p + 2*h - 3*p**3 + 22 wrt p?\nAnswer: -6*h*p - 5*h - 9*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*n + 14*n + 500 = 24*n for n.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 233, 5, -3, -2 in ascending order.\nAnswer: -3, -2, 5, 233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1165.\nAnswer: 5, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 14*p**2 - 2*p - 1. What is the remainder when (-3)\/(24\/(-64)) + 18\/1 is divided by u(-1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/8 and 8 + (-2)\/(-6)*(-2103)\/93.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 723 - 723. Suppose -5*l = -24 - 1. Which is the nearest to 1\/6? (a) l (b) 2\/25 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -1, 4969 in decreasing order.\nAnswer: 4969, 7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8344168 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22311578?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from bbpbkkkcbcbp?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/74 at most 2017?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1790479 * 5.1.\nAnswer: 9131442.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3 + 16586170*z**2 - 530758976*z + 4246075904.\nAnswer: 2*(z - 16)**2*(z + 8293117)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 20766 divided by 20766?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -34*x + 140. Let g be b(4). Let l(a) be the first derivative of -3 - 1\/12*a**g + 0*a**2 + 0*a - 2\/9*a**3. Factor l(w).\nAnswer: -w**2*(w + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 72408 and 2784691?\nAnswer: 66832584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -23172 (b) -4 (c) 0.3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 21.164753 to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3626 (base 9) to base 14.\nAnswer: -da9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - 1)*(-5 - -3). Let f(d) = 0*d**2 + g - 3*d + 3*d**2 - 3*d - 2*d**2. Let k be (2\/3)\/(18\/135). Calculate f(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -520, -2048, -4596, -8152, -12704, -18240, -24748?\nAnswer: -32216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -95*v + 31. Let k be m(4). Let l = 499 + k. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -6*x. Let m(t) = t**3 + 3*t**2 - 5*t - 4. Let j be m(-4). Suppose 0 = 5*f + 5 - j. Let v be p(f). Let z(q) = q - 1. Give z(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -138101, -138097, -138091, -138083?\n\"Answer: d**2 + d - 138103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 0) + (1 - (14 + -6))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 0, 0.3, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 y when four letters picked without replacement from hhyhhyhhhyh?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.44 - 0.04. Let x = 3.4 - t. Which is the biggest value? (a) 0 (b) x (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 27*o**2 + 1. Let g be t(-1). Let i be 46\/(-120) + 7\/g. What is the closest to 2\/7 in 2\/7, i, 5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -39*f*h**3*i + 22*f*h*i - 4*f*i - h**4*i - 4*h**2*i - 2*h*i + 2 wrt h?\nAnswer: -234*f*h*i - 12*h**2*i - 8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 24? (a) -11851 (b) -2\/11 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 11) to base 5.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.8 - 1. Let i = -219.5 - -220. What is the closest to 4 in -4, i, a?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8096914 millilitres in litres?\nAnswer: 0.0008096914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r + 3*r - 3*r + (0 - 2*r + 0)*(-1 + 2 - 4) - 3*r + r + 0*r - 1963 - 1578 + 4070 + r to l + q*r and give l.\nAnswer: 529","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 440 and 720.\nAnswer: 7920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.073 + -10929435.5375\nAnswer: -10929435.6105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 3*h - 50. Suppose h = -3*u + 8*u. Solve -4 = u*a - a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19 in -37, -1\/13, -5, -1\/3?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 358 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 11. Let j be h\/7 + (-2)\/7. Suppose 3 = q - j*q - 2*l, -2*l = -4*q - 12. Put 1, -3, q in ascending order.\nAnswer: q, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -10*b - 355. Let l be f(-35). Let d = 3 - -1. Sort l, -1, d in descending order.\nAnswer: d, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 4*z + 1. What is h(-6)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence beid when four letters picked without replacement from {i: 4, b: 1, d: 5, e: 1}?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14933766?\nAnswer: 2, 3, 2488961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 17183 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zdd when three letters picked without replacement from zzdd?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**5\/2 + 8820*z**4 - 77986233*z**3\/2 + 854957675*z**2 - 6055852758*z + 13967726580 = 0. Calculate z.\nAnswer: 6, 10, 8809","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 272017355.\nAnswer: 5, 43, 1265197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 997, 966, 957, 982, 1053?\nAnswer: 1182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (392\/(-6))\/((-5)\/15). Suppose i = 3*i - z. Is 3\/(-5) - i\/(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**17\/q**27 assuming q is positive.\nAnswer: q**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3*w**4 + 3*w**3 + 3*w**2 + 9*w + 6. Let o(q) = -q**3 - q**2 - q - 1. Let p(y) = 6*o(y) + z(y). Let p(a) = 0. What is a?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5621332 = -64*i + 84972. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*2*sqrt(117)*6)\/(sqrt(1089)*-1*-2) + 3.\nAnswer: 3 + 30*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3 + ((1 + sqrt(68))*6 - (-3 + -1 + sqrt(68)))**2)*-2.\nAnswer: 400*sqrt(17) + 3594","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = d + 16, -5*l + 4*d - 66 = 0. Is (-47026)\/l - (-8)\/80*4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand y - y + y**3 + (-3*y**2 + 2*y**2 + 2*y**2)*(2*y + y - y) - 5*y**3 + 2*y**3 + y**3 - 27 + 24 - 6*y**3 + 0*y**3.\nAnswer: -5*y**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 69, -4 in increasing order.\nAnswer: -4, 3, 4, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**8)\/(y\/(y\/(y\/y**(2\/9))))*y**(2\/27)*y*y**(-1\/3)*y)\/((y**(-2\/3)*y*y)**(-2\/39)*y*y**(1\/9)*y*y**(-2)) assuming y is positive.\nAnswer: y**(3482\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -148 + 71. Let u = -838 + 841. What is the nearest to -1\/3 in u, 1\/3, y?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - 3. Calculate the least common multiple of z and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11729*n**3 - 2*n**2 - 34*n + 143 wrt n?\nAnswer: 70374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -17 - 15 - -3.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-one eighths of a meter?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 516.946 rounded to the nearest integer?\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**5 + 6*g**4 - 3*g**3 - 6*g**2.\nAnswer: 3*g**2*(g - 1)*(g + 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 3*k = -11, 0 = -22*z + 38*z + 4*k + 52 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5330 + -311?\nAnswer: 5015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22924 - 22924 + 362*b)*(6*b**2 + b**2 - 26*b**2).\nAnswer: -6878*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z**4 + 401*z**3\/4 - 5*z**2 = 0. Calculate z.\nAnswer: 0, 1\/20, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -409024 at least -409023?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 85476 and 242352?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25.23 - 43.23. Which is the closest to -2\/5? (a) 4 (b) -5 (c) -3 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16406 is divided by 96?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b\/b**(2\/7)*b))**(-3\/29)\/(b*((b\/b**0)\/b)\/b)**(-27))**(-4) assuming b is positive.\nAnswer: b**(24\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -49364a0?\nAnswer: -49364a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14864 - -14864.09. Which is the closest to -1? (a) 12 (b) -1\/36 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15563963 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((3*1*(1 + sqrt(891)))**2 + (sqrt(891) - (-3*-2*sqrt(891))**2) + 4)*1.\nAnswer: -24049 + 171*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 + -6. Let o = -18 - g. Solve o*v = v - 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 7 = 5*p. What is the remainder when (p\/(-2))\/(((-40)\/(-5))\/(-1968)) is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 531 is divided by 89?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 2*i**2 - i - 69. Determine s(5).\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21 - 1010?\nAnswer: -1031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2068)\/(-1551))\/(8\/(-102))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**3 + 8*h**2 + 8*h - 75. Calculate t(7).\nAnswer: -313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 7:28 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of -13*t**5\/2 + 197*t**3\/6 + t**2 + 73. What is the derivative of g(p) wrt p?\nAnswer: -780*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -61 - -60. Let j be (0\/2 + 1)\/(-1). Let v = j - 1. Which is smaller: l or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 441015 equal to 441098?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -508, -938, -1648, -2638, -3908, -5458?\nAnswer: -7288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 110566 = -0.01?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (9 + -9)*(-1)\/2. Let t(b) = 3*b + b - 3*b**2 + 9*b - 12*b + 4*b**2. Give t(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -284b?\nAnswer: 2848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 13) to base 3\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29797 less than or equal to 29921?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54380.2077 minutes to weeks.\nAnswer: 5.394861875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 38113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*p**2 - 182*p**2 + 95*p**2 + 2*p**3.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = 890*l - 885*l + 25, 5*h - 62 = -4*l for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*((-10)\/6 - -1). Let n(m) = -152*m + 66. Let c(w) = -67*w + 29. Let y(s) = -9*c(s) + 4*n(s). Give y(f).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 256925*d**2 - 2151. Let c(y) = 239*y**2 - 2. Calculate 2151*c(u) - 2*z(u).\nAnswer: 239*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**5\/4 - 75*n**4\/4 + 195*n**3\/4 - 185*n**2\/4 + 15*n.\nAnswer: 5*n*(n - 12)*(n - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1805 or -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 179.632 - 102.471. Round v to 1 dp.\nAnswer: 77.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 11\/2 of a microgram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -1740*c - 87. Let p(d) = 79*d + 4. What is -87*p(q) - 4*r(q)?\nAnswer: 87*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 3178?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*h - 53*h + 6838*h**2 + 5776*h**2.\nAnswer: 12614*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*((l\/l**(1\/2))\/l)\/l*l\/(l\/(l\/l**(-16)))*l*l*l)**(-1\/4) assuming l is positive.\nAnswer: l**(-39\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, -617 in increasing order.\nAnswer: -617, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kggkggggg.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + 11*k**2 + 8*k - 24. Give c(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49615?\nAnswer: 5, 9923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/168*(0 - -3).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -2121868.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 6*d - 2. Let f(x) = 31*x - 11. Suppose q = n - 3*q + 26, 61 = -3*n - 5*q. Determine n*l(v) + 4*f(v).\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 - 6*f**2 - 2*f + 7. Is c(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11041.56448 - -11049. Let o = 3.56403 + d. Let r = -11 + o. What is r rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 3*y = -25, 2*s + 89767*y - 89768*y - 7 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -141 > -135?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 3*u + 3, 32*u + 3*a = 37*u + 9 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14577 - 14577.5. Which is the nearest to -7\/5? (a) 226 (b) l (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 7*x**2 + 8*x - 8. Let m be l(6). Suppose 131*i = 176*i - 315. Which is smaller: m or i?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 - 9*g**2 - 7*g + 3. Suppose -5*h - 14 = 5*o - 34, -4*h + o = -16. Calculate the remainder when w(10) is divided by (-2)\/(-3) - -68*h\/24.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56271140 divided by -20.\nAnswer: 2813557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101101111011 + -1000011010111?\nAnswer: -10110001010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-156)\/(-1976))\/((-2)\/16*6)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/81088 and 65\/3304?\nAnswer: 4784192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.2 and -3430.\nAnswer: -3430.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-4 - -4) - (-2 + -6).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 2*o = u - 9, -3*u - o - 1 = 0. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + (5 - (-8 + 0)). Solve 360 = c*z + 336 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 0. Let x = 1 + w. Let a be 1\/(1\/x*-3). Let g(u) = -u + 1. Let y(p) = 2*p - 5. Calculate a*y(z) + 3*g(z).\nAnswer: -z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -230*w - 226*w - 4*n - n = -451*w + 40, 0 = w - 3*n for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 87, 773, 2637, 6267, 12251, 21177, 33633, 50207?\n\"Answer: 98*p**3 + p**2 - 3*p - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 11) to base 7\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1201 - 5?\nAnswer: -1206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1689 divided by -8?\nAnswer: 1689\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*z + 3097 = 1153 for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 143 = 229. Suppose -5*m - 37 = -c, -1 = -m + 2*m. What is the remainder when o is divided by c?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(500) + (sqrt(500) - (sqrt(500) - (0 + sqrt(500)))))*1 + ((3 + sqrt(500) - sqrt(500)) + sqrt(500))*3)**2 + -5.\nAnswer: 900*sqrt(5) + 12576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1.1033 * 0.4\nAnswer: -0.44132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 12 = -3. Calculate the remainder when (q\/2)\/(12\/736) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150476.\nAnswer: 2, 37619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 123930 and 200?\nAnswer: 2478600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 2. Let a(v) = 2*v + 2*v + l*v - 5. Let c(w) = -3*w + 0 + 3 + 1. Give -4*a(f) - 5*c(f).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 79328981 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -498 + 22411\/45. Let w(n) be the second derivative of 0*n**2 + 1\/18*n**4 + 1\/9*n**3 - z*n**6 - 1\/30*n**5 + n + 0. Factor w(x).\nAnswer: -2*x*(x - 1)*(x + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 4*t**2 - t - 1. Let j be f(2). Suppose 0 = -3*h + j*h. Suppose 4 = i - 1. Solve -3*q + 8 - 2 = 3*c, 4*c + i*q - 12 = h for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 47 by 6.\nAnswer: 47\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 2*n + 71, 4*q + 2*n = 4*n - 294. Let m = q + 661\/9. Let b be (3\/2)\/(4 + -1). What is the nearest to 0.1 in b, 0.3, m?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/16 - (-74)\/16. Solve -w*k + 6 = -2*i - 0*k, 4*i = -2*k + 12 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002252 rounded to 5 decimal places?\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.979848 rounded to one dp?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 5*t - 7, 0*t - 20 = -4*t - 4*n. Suppose -3*i - 5 = -6*i - 4*b, 2*i = -4*b + t. Solve 0*c = i*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 1208 = -5*v + 3911, 0 = 3*v - 5*f - 1605. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3151*y + 3158*y + 95 = 2*s, 3*s + 20 = 2*s - y for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -5*l + 5*n, -2*n - 9 = 2*l + 1 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.66058552*-0.1\nAnswer: -0.066058552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 4*n - 17*n.\nAnswer: -13*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of b**2*j - 35890*b**2 + b*j + b - 1691*j + 181 wrt b?\nAnswer: 2*b*j - 71780*b + j + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 258 + 76. Let q = 5012\/15 - s. Which is the second smallest value? (a) 0.3 (b) 1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1093857 less than -0.3?\nAnswer: 1093856.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.01 + 0.01. Let t = 0.01 + 0.09. Put t, -2, y in ascending order.\nAnswer: -2, y, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/16)\/((-23)\/(-322))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1778033 + 1778033 - h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -29*u**2 - 20*u + 1. Determine a(-3).\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rjpwf. What is prob of sequence jpj?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fztfzfdzffzdzfffzfzz. Give prob of sequence zt.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 9 - 13 - 683*v - 5 + 49 - 9.\nAnswer: -683*v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -3*r**2 + 4. Let t(l) = -6*l**2 + 9. Suppose 3*a + 9*a = -1824. Let o be (a\/16)\/(2\/(-12)). Suppose 0 = -s + o - 61. Give s*t(q) + 9*v(q).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 5*a**2 - 5*a - 2. Let k be r(6). Let u(t) = t**3 + 19*t**2 + 13*t + 41. Let w be u(-8). Suppose 0 = k*i - 675 - w. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o**(4\/7))**(-3\/16)\/(o**7*o\/o**7))**(5\/6) assuming o is positive.\nAnswer: o**(-415\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10984, -23, -2 in descending order.\nAnswer: 10984, -2, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -5, 2, -0.1 in decreasing order.\nAnswer: 2, 2\/9, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - 4*y + 6*y)*(2*y**4 + y**4 + 5*y**4 - 2*y).\nAnswer: 8*y**5 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**3 + 4938797*a - 4938797*a.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9 - 6 - (3 + -1). Let p be (-9 + 5)*9\/(-4) + -4. Let d be 22\/5 - (-2)\/(-5). Put b, p, d in descending order.\nAnswer: p, d, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -51032496.4481 - -51026545. Let w = 5951 + b. Let p = -0.45 - w. What is p rounded to 4 decimal places?\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v\/(v\/(v\/(v*v**4*v)*v)))))**29 assuming v is positive.\nAnswer: v**(-116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1483, 2, -1, -5, -15, -131, 1 in decreasing order.\nAnswer: 1483, 2, 1, -1, -5, -15, -131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-112)\/12)\/(-4))\/((-14)\/2)*61*3?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 - r - 1. Let t be f(5). Let v be ((-9)\/(-6))\/((-9)\/12). Let h be -4 + 1*(158 + v). What is the highest common factor of t and h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11796 and 308004.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 + 2*u + 4. Let g be 27 - (0 - (-3 + 4)). Let s = 30 - g. Suppose t + 5*h + 24 = s*t, 0 = -3*t - h + 8. Calculate a(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 13 + 9 + -4 + -14. Let c(r) = 2 + 10 - 2*r + r + u*r + 0*r. Let k(p) = 4*p. What is c(k(n))?\nAnswer: 12*n + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.8 + 1611165282.\nAnswer: 1611165282.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -128 + 136. Let b be (-1)\/(((-2)\/d)\/1). What is the highest common divisor of 31 and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 25 (b) 7 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 6.7. Let p be ((-9)\/54)\/((-4)\/12*2). What is the smallest value in a, p, 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2398 - -1343. Let f = 1917 - -499. Let v = f + k. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*g - 7. Let c(y) = -713*y**3 - 2*y**2 - y + 2. Let i be c(g). Round i to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-24)*((b\/(b\/(b**2\/b))*b)\/b)\/b)\/(b*b**(-4\/15)\/b)**29)**23 assuming b is positive.\nAnswer: b**(11293\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 38 - 36.975. Let i = -0.125 + q. Let g = 3 - 2.9. Is i bigger than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-1\/7)\/(g*g**(-5))*g\/(g*g*g*g**(-2\/11)*g)*(g\/(g\/((g*g\/(g*g**(-2)*g)*g)\/g)*g))\/g*(g**7)**(-42) assuming g is positive.\nAnswer: g**(-22558\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is -1878408 rounded to the nearest 100000?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 3. Let m = 9 + -7. Let q = j + m. Solve 10 = -q*n + w - 1, 4*n + 4*w = -16 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 133384.7 kilograms?\nAnswer: 133384700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d**2 - 1984040*d = 0 for d.\nAnswer: 0, 396808","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.18 - 2.82. Let i = 5.94 - 6. Let s = -0.94 + i. Put -0.4, s, z in decreasing order.\nAnswer: -0.4, s, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -3*b + 6677, -b + 1630 = 5*a - 556. Calculate the remainder when b is divided by 42.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*t - 0*t. Let a(q) = -2*q**2 + 3*q - 2. Let k(c) = c**2 - c + 1. What is t*a(d) - k(d)?\nAnswer: d**2 - 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 178 + -819733346.\nAnswer: -819733168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 0 = -2*p. Suppose 4*b = g, 3*g = -b + g + p. Let t be (-25)\/15*4\/50. Do t and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3330742897 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 41 + -18. Suppose 3*v + 3*r - 21 = 0, -r = -2*v - 6*r + k. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 321200313 + 0?\nAnswer: 321200313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 147*c - 1387*c + 681*c - 1601*c as f*c + o and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - 5*f**2 - 4*f + 8. What is j(6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*t = -62*t + 126. What is the greatest common factor of t and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -788570 + 4?\nAnswer: -78856c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) 0.2 (c) 0.057 (d) 1\/10 (e) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 355435183 to the nearest one hundred thousand.\nAnswer: 355400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 PM and 3:14 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -100*r**2 - 620*r - 3. Calculate o(-6).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -47.455 greater than -6.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 10 and 0.0042.\nAnswer: 10.0042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10855445.\nAnswer: 5, 2171089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6 from -62691.\nAnswer: -62697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 76b (base 13) to base 2\nAnswer: 10011111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 57*c**2. Let k(x) be the second derivative of 5*x**3\/6 + 86*x - 2. What is h(k(r))?\nAnswer: 1425*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 3. Let v(m) = m**2 - 24*m - 6. Let z be v(24). Let s be (z + 8)*(-3)\/(-2) + 2. Put 7, s, n in descending order.\nAnswer: 7, s, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -11878496, -11878490, -11878482, -11878472?\n\"Answer: g**2 + 3*g - 11878500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 0*d + d + 7*d**2 - 10*d**2. Let n be i(1). Is 11 a factor of (-1)\/(n\/(-44)*-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -9*m + 4. Let y = 29 + -18. What is the remainder when g(-3) is divided by y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*z**3 + 2263*z - 2263*z.\nAnswer: 25*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4*t = 4*q, 0 = 4*q + 4. Suppose 0 = d - 2, 5*i + 5*d - 13 = 12. Does 12 divide 18*(-4 - t)*(i + -4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g - 4 + 4)*(-2*g + 48 - 3*g - 49).\nAnswer: 15*g**2 + 3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - 11*x**2 + 16*x + 45. Calculate f(-12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*y + 2*y**4 + 4 + 2*y**4 + 16*y - 8 to v*y**2 + r*y + z + w*y**3 + s*y**4 and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2421?\nAnswer: 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16402 and 52097.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(2\/19)*w*(w\/(w**(-6)\/w))\/w)\/((w*w**(-1))\/w)**(-2\/29) assuming w is positive.\nAnswer: w**(4979\/551)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yjjanazzayaajczzca. Give prob of picking 1 c, 1 j, and 1 y.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/9 - 22\/26.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/30*(84 + -72)\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15.72 - -1.28. Let g = h + -16.999999632. Round g to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -3225*o + 134. Let x be y(9). Let q = x + 47960. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/9 (b) 0.1 (c) -23 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44138?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(108) + sqrt(108) + sqrt(108) + 0 - -1*sqrt(108)*1) + 5 - (sqrt(108) - (sqrt(108) + 2)*4 - sqrt(108) - 5*3*sqrt(108)))**2.\nAnswer: 3744*sqrt(3) + 62377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 3*j + 51, 50 + 21 = -5*b - 2*j. Let c(s) = -s**2 - 17*s + 2. Let o be c(b). What is the units digit of (-463)\/(-8) + 4\/o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -54 - -43 - (-11 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddfffdddd. What is prob of sequence ddd?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of 2541*p**5\/5 - 1932*p + 2901. What is the derivative of r(k) wrt k?\nAnswer: 10164*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5040 and 68.\nAnswer: 85680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4735?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y - 3. Let a be o(-7). Let p = -6 + a. Let c be -1*p*1 + -1. Solve 3*z + 1 = 4*k, 3*k = -5*z + 7 + c for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 - 50 = 20*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of -4*z**3\/21 + 10*z**2\/7 - 16*z\/7 + 23. Determine t, given that r(t) = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (44\/15)\/4 - (8 - 605\/75). Let j = -1\/42 - -89\/210. What is the closest to -3\/4 in p, -0.6, j, 1?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 - 21 - 0 - (1 + -25)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w**3 - 8 + 15 - 7 - 4*w**3.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*l + 12 = -73 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*f**2 - 4 + 4 + 2*f)*(-73226 + 489*f**2 + 73222 + 247*f**2) to j*f + k + w*f**2 + r*f**3 + a*f**4 and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71.84586l to millilitres.\nAnswer: 71845.86","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 PM and 10:35 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 158146838 a multiple of 326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -24 + (3 + 123 - 199)\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 973?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, a: 1}. Give prob of sequence pa.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 126 and 333382?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22375, 89309, 200811, 356875, 557495?\nAnswer: 802665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23 (base 8) to base 4.\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + l**2 + l - 83. Determine c(0).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 900\/41 - 620\/(-12710). Let d(l) = -2*l + 80. What is d(z)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/152 and -53\/418.\nAnswer: 1672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 2*w, -k - 4*w = -5*w - 5. Suppose k*t = -t - 15. Let n(j) = j**2 + 5*j. Give n(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 130?\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - 1476656d?\nAnswer: -1476656c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46654*r + 8*r**3 + 23326*r - 7*r**3 + 23328*r.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(52) + sqrt(52)*-2)**2.\nAnswer: 8*sqrt(13) + 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**4 + l**4 + 3*l**4 + (0*l**4 - 3*l**4 + l**4)*(0 + 2 - 4) + 2*l**4 + 3*l**4 - 2*l**4 + 2*l - l**4 - 2*l + (0*l**3 - l**3 + 0*l**3)*(-l - 2*l + l).\nAnswer: 10*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -9*m + 138. Let w be k(15). Find y such that -6*y**w - 6*y**3 + 26*y**3 - 5*y**3 - 4*y**4 - 5*y**3 + 24*y**2 = 0.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*b**3 + 6*b**2 - 6*b**3 - 3*b**4 - 4 + 1 + 3*b**5 + 3*b.\nAnswer: 3*(b - 1)**3*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/7)*z)\/z**(-2\/19)*z**(6\/5)*z*z**5 assuming z is positive.\nAnswer: z**(5713\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 119.4\nAnswer: 358.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 5*m**2 + 5*m - 2. What is the remainder when z(5) is divided by 3*1 - 30\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 6. What is the highest common divisor of l and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 4. Let l be 14\/g - (-5 - -5). Let u(v) = v**3 - 2*v**2 + v + 1. Let j(f) = -3*f**3 + 7*f**2 - 4*f - 3. What is l*u(w) + 4*j(w)?\nAnswer: 2*w**3 - 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -3*u - 16, 0 = -12*q + 7*q + 4*u + 20. Let f(r) be the second derivative of -1\/20*r**5 + 0 + 0*r**2 + 5*r + 1\/3*r**q + 2\/3*r**3. Determine f(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + 3*n**2 - n - 1. Suppose 2*v + 3*v = 5*c, -5*v + 4*c = 3. Let x be k(v). Solve -j - 6 - x = -4*u, -4*u - 3*j + 8 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of 1493*v**5\/60 - v**4\/12 - 5*v**3\/6 + 1219*v**2. Find the second derivative of f(y) wrt y.\nAnswer: 2986","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -7*f**3 + 674*f + 6. Let g(m) = 6*m**3 - 664*m - 7. Calculate 5*d(s) + 4*g(s).\nAnswer: -11*s**3 + 714*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c - 10 = -18*c. Suppose -4*a = 6 - c. Let q = 1\/82 + -169\/410. What is the nearest to q in -4, 5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 12, -3.\nAnswer: -3, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/890 and 61\/720.\nAnswer: 64080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*32.\nAnswer: 3.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 413 - 408. What is the second smallest value in 0, u, -696?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 14 (b) -0.2 (c) 34 (d) -0.1 (e) 353 (f) -4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2500 - 2497. Solve 0 = -3*f + 6, g*s + 0*s - 5 = -4*f for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.975 + 0.025. What is the closest to u in 0.1, -0.3, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45100 = -23*q + 43927 for q.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 28 = -3. Suppose 3*u = -0*u + 30. Suppose -k = k + u, 4*w - 14 = -2*k. Calculate the lowest common multiple of s and w.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -8*s + 43. Let g be z(6). Sort g, 2, 5, -3 in decreasing order.\nAnswer: 5, 2, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 50\/(-8) + 12\/48. Let u(c) = -2*c**2 - 5*c - 3. Let r be u(-3). Is r < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 229*o**2*p + 7*o**2 - 130*o*p - 5*o wrt o.\nAnswer: 458*p + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - 7911?\nAnswer: -7916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 23*p - 2. What is s(-3)?\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52, 136, 284, 502, 796, 1172, 1636?\nAnswer: 2194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of 11*h - 2\/3*h**3 + 0 - 5\/2*h**2 + 9\/2*h**4. Find the second derivative of c(u) wrt u.\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-6\/11)\/x)**(-2\/57)\/(x\/x**(-33)*x**(6\/23)) assuming x is positive.\nAnswer: x**(-493294\/14421)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {i: 1, w: 2, z: 3, y: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 108\/(-15)*(-30)\/18.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-18)\/30)\/(9\/(-30)). Suppose v = -3*f + 5*f + 5, -v - p*f = -5. Suppose -v*j - 4*s + 2*s + 236 = 0, -172 = -4*j + 4*s. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -89 - -134. Let t = g - 11. What is the remainder when t is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(204) - (sqrt(204) - 1*sqrt(204)) - sqrt(204)) + -5*(sqrt(204) - (sqrt(204) - (sqrt(204) + sqrt(204)*-1))))\/((2*sqrt(432))\/sqrt(4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -212*t + 152*t = -137*t - 2464 for t.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2489287 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 2*j = 4, m + 0*j - 2*j - 12 = 0. Suppose -1821 = m*k - 4*p + 27767, -3*k - 44409 = 3*p. Round k to the nearest one thousand.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137941 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(5\/3)*i**6*(((i*i**2\/i*i)\/i)\/i)**3*(i**(-1\/2)*i)**(-50)\/((i*i*i**(2\/3)\/i*i*i)\/i)**(-22\/7) assuming i is positive.\nAnswer: i**(-125\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1.5 - 16695375002\nAnswer: -16695375003.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a centimeter in millimeters?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*c**2 + 4*c**2 + 11*c**2 + 3*c**2 + c**2 + 2*c to u*c**2 + d + n*c and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (2697\/24 + ((-18)\/6)\/(-24))\/3 and -49\/2021.\nAnswer: 4042","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 1024 = -d + 1029, -28*v + 9 = -5*d + 34 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -11 - (6 + -8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/46*4\/(-5). Let l = 23 - 23.18. Let h = 0.68 + l. Which is the smallest value? (a) -2\/3 (b) h (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12 + -6)\/(((-198)\/60)\/11)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 388446, -4 in descending order.\nAnswer: 388446, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 3*z + 14 = 0, 4*o + 0*o + 2*z - 16 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1755432, -7021996, -15799610, -28088280, -43888012, -63198812, -86020686?\nAnswer: -112353640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 + 3*l - 2. Let f be p(1). Let w(k) = -k**2 - 6*k - 6. Let v be w(-4). Let o(n) = -v*n + 0*n + f*n. Let b(q) = -5*q. Determine o(b(c)).\nAnswer: 10*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -42a841 (base 12) in base 14?\nAnswer: -1d6813","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -23.80886.\nAnswer: 47.61772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 24809921 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.03 + 1.97. Let y be ((-8)\/50)\/(16\/40). Which is the closest to y? (a) -2\/9 (b) -0.3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 849, 848, 847, 846, 845?\nAnswer: 844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ueueeeheuhbubheffe. Give prob of picking 2 e and 2 b.\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 51\/9 - 6\/9. Suppose 0 = 5*r + d - 0. Let c(s) = 4*s**2 - 2*s - 1. Let i be c(r). Solve -13 = w - 5*w + i*q, 4*w = q + 9 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1106 and 75208.\nAnswer: 75208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/32*4*(-19 - -52257) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 + h + 16. Let v be z(-3). What is the highest common divisor of v and 188?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 71\/195 - 2\/65. What is the second smallest value in 0.5, 1\/8, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71, -83, -127, -221, -383, -631, -983, -1457?\nAnswer: -2071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c - 25. Let w be k(16). Suppose 13 = w*l - 1. Let n(h) = -h**2 + 1. Let r be n(1). Solve r = l*s - 10 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 340235 and 340322 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.318292 + 1.79112507.\nAnswer: 1.47283307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 271127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 31219 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/12 and (6\/(-90))\/(2\/(-265)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -9.1. Which is the nearest to 3? (a) r (b) 0.4 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/10 and ((-15)\/90)\/(2 + (-446)\/218).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by -7?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 47931612 to the nearest integer?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -0*l. Let f(k) = -k**3 - k**2 - k + 13. Let i be f(l). Suppose i = -5*c - 2. Sort 0, c, -2\/13 in decreasing order.\nAnswer: 0, -2\/13, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, q: 2, c: 1, m: 1, i: 2, p: 8}. What is prob of sequence icc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 - 8*x - 10. Let w be n(-7). Let g be (w - 21\/(-6))*52. Suppose -g = -3*p + 34. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2168 and -2.\nAnswer: 4336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25180220?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/15 - 4*t\/5 - 18.\nAnswer: 2*(t - 15)*(t + 9)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 5*k - 75. Let i(l) = 14*l - 225. Give 6*i(v) - 17*u(v).\nAnswer: -v - 75","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.013 + -25.987. Let f = q + 26.31. Let m = -0.11 + f. Which is the closest to m? (a) 1 (b) 0 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80997 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jqjydd. What is prob of sequence qdy?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -h + 3055, t - 4*h = 4*t - 9164. Let p be 4\/18 - t\/(-18). Let i be 5\/20 + p\/(-8). Round i to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*h + 1 + 44 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2000 and 34000.\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 3 = 1. Let q(k) = -10*k**2 - 1. Determine q(u).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 w when two letters picked without replacement from ttttttttwttfttt.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 + 2*j**2 - 72*j**4 + 24*j**4 + 24*j**4 + 20*j**4 in the form y*j**4 + u*j**3 + t + m*j**2 + g*j and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14330 greater than 14333?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 142003911 and 399.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n + 3*n - 5*n in the form z*n + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -2, 4, -3 in decreasing order.\nAnswer: 15, 4, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*d - 805 = 6*d - 760 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of 8*l**2 - 5*l**6 + 9 - 62\/5*l**5 + 56\/3*l**3 + 0*l + 5*l**4. Let k(r) = 0. What is r?\nAnswer: -2, -2\/3, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3052076?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 11.6. Suppose -6*s - 6 = a - 3*s, -3*a + 3*s = 6. What is the nearest to 1 in a, k, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -16*l - 114. Determine p(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55343*j - 261*j**2 + 527*j**2 - 265*j**2.\nAnswer: j**2 + 55343*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence asby when four letters picked without replacement from syybbaabbybaa.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7307*v**5 + 4*v**3 - 189046*v.\nAnswer: -146140*v**3 + 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 AM and 6:04 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 1 + 4)*(131 + 25*s**2 - 131)*(-68*s + 107*s**2 + 68*s - 10*s**2) in the form a + x*s**3 + c*s**4 + y*s**2 + g*s and give c.\nAnswer: -2425","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**3 - 6*g**2 + 8*g - 8. Let d = 25 + -21. Let f be o(d). What is f rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -1080797*f + 16211951. Calculate j(15).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 m when two letters picked without replacement from {a: 1, m: 4, x: 9, t: 2, c: 3}.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 106*p**3 - p**2 - p + 4. Let r be m(1). Let o(a) = -99*a + 210*a - r*a. Let h(n) = -3*n + 18. What is o(h(d))?\nAnswer: -9*d + 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34.3*0.004.\nAnswer: -0.1372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24937*u + 24942*u = -3*g + 15, -5*u + 15 = -g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1040, 0.05, 4, -3, 0.4?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 62 - 68. Let o(c) = 5*c**3 + 2*c**2 + 2*c + 1. Let w be o(-1). Let j be w + b\/(6\/(-25)). Solve y - 4*k = -j, 14 + 9 = -3*y + 2*k for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 130, 8, -31 in decreasing order.\nAnswer: 130, 8, 5, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 13 = -5*y, 72 = -3*p + 2*y + 79. Sort p, 0, -4, -1, -178 in decreasing order.\nAnswer: p, 0, -1, -4, -178","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/4)\/(-4)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18582942 divided by -115422.\nAnswer: -161","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f + 2. Let p be s(0). Let l(w) = 15 + 0*w**p + 0*w**2 - 3*w**2 + 4*w**2 - w. What is the units digit of l(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33402.85 litres in millilitres?\nAnswer: 33402850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z**3 + z**2 + 2*z - 1. Let i(h) = 11*h**3 + 10*h**2 + 16*h - 1. Let g(t) = -5*c(t) + i(t). Let w = -62 + 58. What is g(w)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 2750?\nAnswer: -4\/1375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 - 6*b + 3. Let t(i) = -3*i**2 - 11*i + 5. Let n be 11 + -7 - 1 - (6 - -3). What is n*t(j) + 11*m(j)?\nAnswer: 7*j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 71 + 9 = 0. Suppose k - 5 = b. Is 15 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 3*s + 43. What is the remainder when 30 is divided by v(-8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -213*g + 209*g. Calculate the smallest common multiple of g and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v + 10. Let y be r(3). What is the second derivative of -22*w + y*w**5 - 5*w**5 + 6*w wrt w?\nAnswer: 160*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36 - 119) + -63 + 33.\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 72 + -3?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 372 - 371.5. Let h = 0 + -5. Let n = -3 + 2. What is the closest to -1 in n, r, h?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 196 and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.02 - 0.02. Let z = h - 6. Let y = 2 + -3. Is z smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 9*b - 41. Let a be s(5). Find the second derivative of 9*x - 6*x**4 + 17*x**4 - 8*x**a wrt x.\nAnswer: 36*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/15? (a) -835 (b) -1 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/15, -3, 42, -88\/23, -0.2 in descending order.\nAnswer: 42, -2\/15, -0.2, -3, -88\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1222 divided by -5.\nAnswer: 1222\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -9981 to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3655805, 7311600, 10967405, 14623226, 18279069, 21934940, 25590845?\n\"Answer: u**3 - u**2 + 3655791*u + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s**3\/5 + 1689*s**2\/5 + 3261*s\/5 - 11781 = 0. Calculate s.\nAnswer: -561, -7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 394*m - 1357*m - 878*m - 2749*m + 651*m to the form u*m + v and give u.\nAnswer: -3939","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 114 + -34. Calculate the remainder when j is divided by (164\/(-6))\/((-218)\/327).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1141.1436 + 272945\nAnswer: 274086.1436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/1*-3*(-115)\/230)\/((-59)\/(-59))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = 5*g - 45, 15*o - 19*o + 25 = g for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/8)\/(5\/(-12))*28\/1407*335?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 10 = -2*c, -c - 5 = x - 2*x. Let g(n) = x*n - n - n. Let u(q) = -14*q**2. What is g(u(m))?\nAnswer: 28*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - u + 5 = -4, 3 = 3*o - 3*u. Let s be -6*((-76)\/(-40) - o). Suppose -6*w = -w. Which is bigger: s or w?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 - 77*j**2 - 2186*j - 173. Give y(-22).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 2*t - 1)*(878 - 878 + 69*t**2)*(3 - 3 + 5).\nAnswer: -690*t**3 + 345*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-1 + 0 + -2)*13. Suppose -11*n - 14 = -k*n. Let b = n + 43. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (48 + -38 + (-2 - -3) + -4).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4006504 (base 7) to base 9\nAnswer: 800627","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8056.608 grams to kilograms.\nAnswer: 8.056608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2748837 and 12475491?\nAnswer: 162181383","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -d2 (base 15) in base 10?\nAnswer: -197","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2. Let f(z) = z**2. Let r(t) = -t + 4. Let u be r(8). Let m = u - -1. Let v(y) = m*f(y) - 4*c(y). Find h, given that v(h) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4}. What is prob of sequence zz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -3*o**2. Let n(g) = 2*g + 4. Let s(l) = 2*l + 5. Let f(y) = 5*n(y) - 4*s(y). Give x(f(k)).\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.26 - 2.46. Let g = q - -1.2. Which is the nearest to g? (a) -1 (b) -3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -7*24\/(-56) - -5. Let s(t) = 2*t**2 + 3*t + 14. What are the prime factors of s(v)?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o - 3*o - 25 - 6 = 3*y, 0 = 6*o - 13*y - 150 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1562578 and 1724224.\nAnswer: 50002496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 264 + -646. Let s = f + 377. Put 2\/31, -2, s in descending order.\nAnswer: 2\/31, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 4*c - 18 - 1952, 0 = -4*g - 4*c + 2624. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 5*z - 17, b + 2*b - 15 = 3*z. Let w(v) = 3*v**2 + 2 - 6 - 5*v - b + v**3 - 1. Let m be w(-4). Put -3, -0.4, m in decreasing order.\nAnswer: -0.4, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 63207100*o**2 - 34403*o - 19.\nAnswer: 126414200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*1\/(-1) - -5. Suppose h = -2*i + 30 - 31, 1 = -2*h - 3*i. Let f = 4 + -4. Solve w*k + 5*q = 23, -2*k + q + f = -h for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, h: 2, y: 4, a: 1}. What is prob of picking 1 b and 2 y?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 5\/4 of a millennium?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000003965719 rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1648, 6969, 15844, 28273, 44256, 63793?\nAnswer: 86884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/7, -1\/49, 2, 2\/9, 974?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - 33\/(-5) - 21\/35. What is the highest common divisor of 5 and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 b, and 1 i when three letters picked without replacement from {g: 2, c: 1, i: 4, b: 3, k: 2}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3*b**3 - 3*b**2 + 3*b. Let x be (-13)\/(-7) - (-17)\/119. Calculate i(x).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 6*w**3 + 2*w + 12. Let b(x) = -13*x**3 - 5*x - 25. Let m(o) = -2*b(o) - 5*n(o). Differentiate m(g) wrt g.\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-4\/9))**(-5)*j\/(j\/(j**22*j))*j*j\/j**(-6) assuming j is positive.\nAnswer: j**(299\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.059 times -66468\nAnswer: 3921.612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18708369.\nAnswer: 3, 19, 59, 5563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of j**8\/1344 - j**5\/10 + 4*j**2. Let a(u) be the third derivative of d(u). Let q(y) = y**2. Give q(a(r)).\nAnswer: 225*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.38 (b) -2 (c) 2\/49 (d) -0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -7*w + 48. Let l(q) = 0 + 7*q + 2*q - 60 - q + 11. Calculate 6*l(j) + 7*x(j).\nAnswer: -j + 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3294 is divided by 29.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -36 + -46. Let v = -174 - c. Let b = v - -211. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 48012914?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**2 + 92*q - 312.\nAnswer: 4*(q - 3)*(q + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 2*o + 6, -4*o = -2*c - 13 + 1. Suppose 0 = 5*d - c*f + 3*f, 0 = -3*f. Which is smaller: 1\/5 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 11) in base 5?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aqfqapshs. Give prob of sequence ph.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 54 - 53.6. Let r = 1855 + -1855.2. What is the closest to r in u, 12, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98 - 83 = -5*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 17096539?\nAnswer: -51289617","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 190167422299 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1200202120 (base 3) to base 2.\nAnswer: -1000001001010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooy when three letters picked without replacement from {l: 2, y: 5, z: 3, o: 3}.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54736 is divided by 26647.\nAnswer: 1442","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -419 + 419. What is the biggest value in 1, -4\/17, j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -834 and -834 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23\/3, 1\/6, 0.3, 5 in ascending order.\nAnswer: 1\/6, 0.3, 5, 23\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 388815 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3502 by -34.\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffft when four letters picked without replacement from ffffffnffffft?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*z)*(1 - 4 + 5) - z + 4 - 4 - 11 + 11 + 6*z - 12*z + 1 + 0*z + 62*z.\nAnswer: 59*z + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of x**5\/60 + 3*x**4\/4 - 79*x**3\/3 + 135*x**2. Differentiate d(l) wrt l.\nAnswer: 2*l + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.660199 rounded to 2 decimal places?\nAnswer: -16.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-434)\/7595*42\/24.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 904 by -8.\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (32\/(-12)*(-27)\/(-36))\/((-72)\/256)\nAnswer: -26\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 248998 to the power of 1\/4, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1267 rounded to three decimal places?\nAnswer: -0.127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 3056 = -5*c - 509, -2*c = -5*g + 6295. Suppose -5*w + 18*w = g. What is the remainder when w is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1043\/42 - (-2)\/12. Let g be 10\/y - 2\/5. Solve 0*s + 4*s + 4 = g for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 270 and 7533800?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = r - 0. Suppose -4*h - d + 96 = -6*d, -h + r*d + 35 = 0. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u + 2. Let g be w(3). Let z = -82 + 82.3. Which is the second biggest value? (a) 0 (b) z (c) g (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 575540 is divided by 12785.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 + 5. Let s be n(-4). Let i be (-548)\/s + (-2)\/(-11). Is (4\/(-10))\/((-5)\/i) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n - 627 = 1123. Suppose 381 = z + n. What is the least common multiple of z and 8?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in -5.4, -10, -2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnhhnn. Give prob of picking 2 n and 1 h.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2*1*(115\/1150)\/(7\/(-10))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 0*r - 2*x = 34, 0 = 5*r + 3*x - 44. Suppose 5*y = -r, y + 1264 = -4*i - 18. Round i to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -505 = -5562\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31323*w - 31318*w + 25 = 0, 20 = 5*m - w for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 75\/94 + -14\/47. Let t = 9 - 5. Which is the nearest to q? (a) 0 (b) t (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l*l**(7\/4)*l*l**21\/l*((l\/l**(1\/11)*l)\/l)\/l**(-1\/20) assuming l is positive.\nAnswer: l**(1414\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(1\/3)*w)**29)**(-33) assuming w is positive.\nAnswer: w**(-2233)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.29286 less than -29?\nAnswer: -28.70714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3219?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0051974 to four decimal places.\nAnswer: 0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3949 to the power of 1\/2, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from btmttbmttmtm. What is prob of picking 3 m?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21947?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 8:17 AM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 64125?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*n**5 - 38946*n**4 - 129729*n**3 - 38916*n**2 = 0. Calculate n.\nAnswer: -4324, -3, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-6)\/(-54)*3\/(-3)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 0*j**2 - 9*j - j**2 + 12 - j**2 + 3*j**2. Let h be x(8). Solve 5*v = -h - 11 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zsew when four letters picked without replacement from {z: 2, s: 11, e: 1, d: 1, w: 5}.\nAnswer: 11\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132801 is divided by 33198.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5664)\/(3759\/(-3750) + 2\/2). Round d to the nearest one hundred thousand.\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1950 - -4662. Suppose -545*s + o = -539*s. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 5*g - 30 = -8*f, g + 2 = 0. Suppose f*m = -3*x + 459, -x - 217 = -2*m - 0*x. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 15106591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 5*z + 3. Suppose -2 - 10 = -4*m, 0 = q - 5*m + z. What is the lowest common multiple of 16 and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 0 + 2 + (0 + 4 - 3)*(5 - 3 - 4))*(-488 + 77*x + 488) in the form n*x + p and give n.\nAnswer: -231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -b**3 + 637*b*w + 28*w - 1 wrt b.\nAnswer: -3*b**2 + 637*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -5*k**3 + 4*k - 17. Let h(x) = 4*x**3 - 3*x + 16. Let p(m) = -3*h(m) - 2*w(m). Let s(t) be the first derivative of p(t). What is s(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 281 - 5*n - 281 + (1 + 0 + 1)*(4 + 2*n - 4) in the form q + w*n and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 7 - (-2 + 9 - (-12 + 14))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/2 + 3446757*t + 11880133817049\/2.\nAnswer: (t + 3446757)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j**2 + 5831472*j + 180771788 = 0. What is j?\nAnswer: -1457837, -31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-3)*-1 - -4. Calculate the highest common factor of 2 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 + 9*x - 7. Let y be l(7). Suppose -y = -3*d + 5. Solve d*m = -m - 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of 1\/20*t**4 + 6*t**2 + 0 - 6\/5*t**3 + 6*t. Factor p(u).\nAnswer: 3*(u - 10)*(u - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 75.4 + -75. Let y be 4\/10 + 36\/10. Suppose 2*n - n + y = 0. What is the second biggest value in 0.5, n, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2284 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4550322 by -325023.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 327?\nAnswer: -2\/327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/12)\/(1744\/(-33354))\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - (-4)\/(-6)*-3. Let c = -39 - -45. Suppose t = -c*j + 79 - 19. Solve 4*i = 3*f + j, -i + 14 = 3*f + i for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5098946?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 - 16*v + 28. Let d be z(14). Factor 2\/11*c**2 + d + 2\/11*c.\nAnswer: 2*c*(c + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 + 4*u - 4. Let t(b) = 4*b**3 - 29*b**2 - 28*b + 28. Give 5*t(v) + 35*x(v).\nAnswer: -15*v**3 - 145*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 7. Let i(d) = -d**2 - 5*d + 4. Let q be i(-5). Let s(z) = -3*z**2 + q*z**2 + 8*z - 4*z. Calculate s(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 46 + 24?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7453791 is divided by 3726886?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -68*x**2 - 11*x**3 - 12 + 3*x**3 + 67*x**2 to v + g*x + m*x**3 + w*x**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(2*3\/4). Let g = -4 - y. Let s be g\/2 + -2 + 3. Solve s = -m - 1 + 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.991856+-0.026\nAnswer: 0.965856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3b7c0 (base 14) to base 6\nAnswer: -3052232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -113, 16, 5, -8, 3 in decreasing order.\nAnswer: 16, 5, 3, -3, -8, -113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 956829.55 to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - 16ab?\nAnswer: -16b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r. Let d(k) = 2*k - 15323. Give d(n(t)).\nAnswer: 4*t - 15323","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/2917, -0.05, -3, 1?\nAnswer: -4\/2917","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 + h - 2. Let t be l(-2). Let o(b) be the first derivative of 2 + 0*b + 1\/4*b**4 + 3\/2*b**2 + t*b**3. Find the second derivative of o(q) wrt q.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5117720 is divided by 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2413 = -5*x - 2*i - 0*i, -4*x + 2*i + 1916 = 0. What are the prime factors of x?\nAnswer: 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-330)\/(-225) + 11\/1155*14.\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - l = -16. Let t(w) = 14*w**2 + 34*w + 4. Let b be t(l). Suppose 103*q - 105*q + b = 0. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 5*n**2 - 3. Let w(c) = -2 - 1 + 6*c**2 + 1 - 2. Let s be 28\/(-4) - 1*-3. Give s*d(q) + 3*w(q).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 4*b**3 + 27*b**2 + 6*b + 2. Let l be h(-4). What is the highest common divisor of l and 330?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 129 - 129.07. What is the closest to -0.03 in 0.4, q, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4021 + -1)\/((-20271)\/3). Let d = -6\/233 + l. Let o = -802\/203 + d. What is the common denominator of o and 61\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00130336 to 6 decimal places.\nAnswer: -0.001303","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/79 in 3, -2\/5, 1.7, 4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -122 - 5?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192 is divided by 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 73.2 - 68.2. What is the closest to 0 in x, -1\/2, 1\/5, 3\/2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7297\/3 + -29161\/12. Sort -0.1, -6, -2\/11, b.\nAnswer: -6, -2\/11, -0.1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206251921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*g**2 - 65*g - 5 = 0. What is g?\nAnswer: -1\/14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -29342, -58727, -88112?\n\"Answer: -29385*r + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 26448630 and 624.\nAnswer: 211589040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -23? (a) -4\/11 (b) 1\/2 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-1\/10)*o**(1\/2)\/o)\/(o\/(o*o\/(o*o*o**0)))**(27\/5))**26 assuming o is positive.\nAnswer: o**(-130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 104204 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (3 + sqrt(288) + 4 + -2 + sqrt(288) + -4)**2.\nAnswer: 48*sqrt(2) + 1149","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/(-6))\/6 + 15\/14?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3806848 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x. Let k be y(6). Let b(m) = -2*m**2 + 8*m + 4. What is b(k)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 86 + 42. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11430657 and 567?\nAnswer: 102875913","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -13*d - 481. Calculate the remainder when z(-39) is divided by (-404)\/(-44) + (-5)\/((-165)\/(-6)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-6))\/(5\/360). Suppose 2*w = -6*w + y. Solve -w*m + 2*v + 19 = 0, -m + 2*m - 1 = -2*v for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 229 divide 34702?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 104167?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**4 - 11766*y**3 + 1518604*y**2 - 47703552*y - 49233920 = 0 for y.\nAnswer: -6010, -1, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4448.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = -y - 16, -17*o + 13*o - 36 = -4*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -87*h - 7. Let d(i) = 29*i + 2. Calculate 7*d(m) + 2*y(m).\nAnswer: 29*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6356)\/61290*(-15)\/21.\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5.261348ml?\nAnswer: 0.005261348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2560761 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 10*u - 41. Determine t(13).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**(-35)*q**(6\/11) assuming q is positive.\nAnswer: q**(-368\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - (-171)\/(-72)) + (-2*3)\/1?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (0 + sqrt(68) + sqrt(68))**2 + 2*sqrt(68) + -3 + 0)*-6.\nAnswer: -1596 - 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -14226297.8 and -2.025.\nAnswer: -14226299.825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11883 = -10001*a + 10238*a - 8025 for a.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 11*m + 1. Let o(k) = 6*k - 2. Calculate the remainder when o(8) is divided by p(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7623.442 to the nearest 100.\nAnswer: -7600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16157 and 8.\nAnswer: 129256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*-5*sqrt(85) - (-4*1*sqrt(85) - sqrt(85) - sqrt(85) - sqrt(85) - sqrt(85)))\/(3*(3*sqrt(245)*3 + sqrt(245))))**2.\nAnswer: 2057\/11025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -13\/4 (b) 0 (c) -106 (d) 3 (e) 0.02\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 + -29 + -6 + (0 - 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33 and 7224.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18325?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 12:40 PM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of 2*t**3\/3 + 5*t**2\/2 + 2*t + 3. Let m be c(-3). Suppose 108 = -2*k + m*k. Is k a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 2 - 0, -2*y + 4 = 4*b. Let q(p) be the second derivative of y - 1\/5*p**3 - 3\/10*p**2 - 1\/20*p**4 - p. Factor q(t).\nAnswer: -3*(t + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44246 - (0 + 6 + -6) - (3 + -4) a multiple of 129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-5) - 14\/5. Let k be 4\/(2 + a) + 7. Solve 0 = k*i - 9 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -3*f**2 + 144*f - 53. Is v(46) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 PM and 1:45 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -64991 - -103336. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -5*x - 10. Does 10 divide r(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -744, -2985, -6720, -11949, -18672, -26889, -36600?\n\"Answer: -747*p**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4\/7, -1\/7, 0.0034, 0.5?\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of -274 - 7*p - 3*p**4 + 0*p**2 + 1\/3*p**3. What is the first derivative of l(b) wrt b?\nAnswer: -36*b**2 + 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-21)*(-9)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4070 + 6097. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a factor of 49987854?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 1)*(34297*c - 64385*c + 36389*c)*(-4*c + 2*c + c).\nAnswer: -12602*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 27 + 1*((-6)\/(-2) + -3). Let t(c) = 17*c + 3*c + 17*c - i*c. Let k(m) = 2*m**2. Give k(t(o)).\nAnswer: 200*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 987 and 984 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3461, -6923, -10385, -13847, -17309?\nAnswer: -20771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 16980126018 and -99.\nAnswer: 16980125919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 58562025 divided by -33949\nAnswer: -1725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 take away 13.4?\nAnswer: -25.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 636093485 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -4*j**3 - 27*j**2 + 4*j - 189. Is f(-15) a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -82*g**2 + 11. Let r(p) = -41*p**2 + 6. Give 6*k(m) - 11*r(m).\nAnswer: -41*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 635845828 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g + 21. Let j(a) = -a**3 + 6*a**2 - 2*a - 17. Let f be j(4). Does 7 divide p(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 13093?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -15, -23, -49, -105, -203?\n\"Answer: -2*h**3 + 3*h**2 - 3*h - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 - 5*r**2 + 5. Suppose -3*i = -9, 3*c = 4*c + 2*i - 8. Let q be ((-17)\/(-34))\/(c\/20). What is the units digit of b(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 146 and 42992?\nAnswer: 3138416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3792 + 3791.98. Sort -5, -1559, z in descending order.\nAnswer: z, -5, -1559","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 64 divided by 5\nAnswer: 64\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/24 + 23275\/1596 + -15?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4aa88 (base 12) in base 11?\nAnswer: -6a507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**2 - 1 + 1)*(35*m + 6*m**2 - 35*m) + m**4 + 3*m**4 - 5*m**4.\nAnswer: 17*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 5*q**2 + 1. Let a be -3 + 0 - 1*-1. Is o(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + -28)*1 - -2. Let r = 31 + y. Calculate the remainder when 43 is divided by 58\/r + 2\/(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pgpgwppw. Give prob of picking 2 g.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4 + 2*(sqrt(11) + -1)*6) + (sqrt(55)\/(-2*sqrt(320) - sqrt(320)) - (-4*sqrt(275)*1)**2).\nAnswer: -4496 + 1727*sqrt(11)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 51a (base 11) to base 5\nAnswer: 10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of 11*d**6\/30 + 79*d**4\/12 + 50*d. Find the third derivative of q(c) wrt c.\nAnswer: 264*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 81*t**4 - t**3 + 13*t - 23522 wrt t?\nAnswer: 324*t**3 - 3*t**2 + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5*p = -3, 6*p - 51 = -4*r + p. Suppose b - 28 = 3*x, 93 - 37 = 2*b - 3*x. What is the remainder when b is divided by r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 - 17*k + 4. Let o be g(4). Solve 9 = 3*b - o for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -854, -1814, -2940, -4316, -6026?\n\"Answer: -14*h**3 + h**2 - 865*h + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 24240264?\nAnswer: 24240261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 PM and 4:17 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 61 = -0*x. Suppose 3*y + 2*i = x, -4*y - i + 78 = -0*i. Is 5 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -323388, -323367, -323316, -323235, -323124, -322983?\nAnswer: -322812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 118 + 502. Is g a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - (3 - -2)) + 32. Let h = -29 + b. Solve -c + a + 6 = h, -4*c + 28 = -a + 10 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(114)\/(sqrt(24)\/sqrt(4)) + 0 + sqrt(19) + -3)*3)**2.\nAnswer: -3888*sqrt(19) + 27540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + 2*t**2 - 3*t + 2. Let s be b(-3). Suppose -s*r - 104 = 4*z, -5*r + 8 = -3*r. List the prime factors of 4\/6 + z\/(-3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121 - -21121?\nAnswer: 22012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -26*s**3 - 13*s**2 + 6*s - 42. Let m be c(-10). Suppose -12301 = -6*d + 5*d + x, -2*d - 2*x = -m. Round d to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of -i**5\/80 + 145*i**4\/4 - 42050*i**3 - 241*i**2. Factor z(u).\nAnswer: -3*(u - 580)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-46)*(-1268)\/(-951) + (2040\/(-92))\/2.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50147?\nAnswer: 50147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 26191 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 2*w - 316 = 4*s, 4*s - 316 = -2*w. Suppose -s = -0*v - v. Is 4 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -57 + 61. Let q be (-6)\/5*(-7991 + 1). Suppose 38412 + q = a*p. Round p to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -138, -133, -124, -111, -94, -73?\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -4*s - 19 + 1, 2*v + 3*s = -11. Determine w, given that 9 - 12 + 2*w**4 - v*w**3 + 3 - 4*w**2 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6*8\/504*(-6 - 1). Which is the nearest to l? (a) 4 (b) -5 (c) -4\/7 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 2. What is the second derivative of -2*m + 2*m**5 - 2*m + x*m**5 - m**5 wrt m?\nAnswer: 60*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 212 - -21328?\nAnswer: 21540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g + g**2 + 3*g**3 - 3*g + 0*g**3 + 2*g**2. Let u(j) = -j**3 - j**2 + j. Let m(v) = 2*u(v) + w(v). What is the third derivative of m(h) wrt h?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d + 4. Let s be (-15)\/(-3) + -6 + (-1 - -164). Suppose 2*f - s = -4*o - 0*o, o - 4*f = 45. Suppose -5 = 5*c - 3*j, 2*c + o = -2*c - 5*j. Give m(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53.5438 litres to millilitres.\nAnswer: 53543.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 212239590*o**6 - 81*o**2 - 16*o + 29438.\nAnswer: 25468750800*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 10001012 (base 4) to base 10\nAnswer: 16454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 12, 4, 10?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 345*r = -2769, d + 4*r + 0*r = -114 + 79 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31678 is divided by 453.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-5) + (-7)\/((-35)\/44). Let f be (q + -9)\/(3 + -1). Suppose f = 5*p - 2*p - 6447. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.093688447 rounded to 5 dps?\nAnswer: -0.09369","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0012243 rounded to four decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21 + 35. Let q be ((-2)\/6)\/((-3)\/36). Suppose -4*l + b = -80, q*b = -b. What is the lowest common multiple of l and x?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - -42636.\nAnswer: 42647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 17 = 5*i, -g - 11 = 3*g - i for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/430 (b) 16159 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34 - -87. Suppose -23 = -2*g + u. Is g a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6873 is divided by 112?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 3) to base 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3807 (base 14) in base 4?\nAnswer: -2121033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 2\/3*l**2 - 1076\/3*l - 720 = 0.\nAnswer: -2, 540","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, l: 7, n: 1, z: 7, r: 2}. Give prob of sequence rll.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14389968 by -6.\nAnswer: -2398328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11006 - -11003. Put -6, 41, -2, w in increasing order.\nAnswer: -6, w, -2, 41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 6*k - 2 = 2*k, -1013*k + 1015*k = 2*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k + 23. Let f be m(-22). Is -3\/5 >= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -424, -420, -404, -370, -312, -224, -100?\n\"Answer: y**3 - 3*y - 422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -49, -3, -1, 464087 in descending order.\nAnswer: 464087, -1, -3, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*(-3)\/(-3*1). Let i = b + -2. Is i + (4\/(-2) - -23) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187 + 202 = -5*n - 5*t, 2*t = -n - 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0260986 rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/35 and -31\/10575.\nAnswer: 74025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 + 27. What is the fourth biggest value in 2\/3, -0.2, f, 0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 106\/5*h**3 - 24\/5*h**4 + 216\/5*h + 2\/5*h**5 - 44*h**2 - 16 = 0. Calculate h.\nAnswer: 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4\/5 - 65314*s**3\/5 + 1066479649*s**2\/5.\nAnswer: s**2*(s - 32657)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h + 4. Let y be 3 - 5 - (-9 - 0). Suppose 5*j + y = 27. Calculate b(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express k**4 - k**4 + k**4 + (k**3 - 3*k**3 + k**3)*(-k + 2*k + 5*k) + 0 - k**4 + 0 as o*k**2 + h*k**4 + l + b*k**3 + z*k and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-12)\/v)**13*((v*v\/(v\/v**(-2\/21)))\/v*v)\/v*v*v*(v\/((v\/(v*(v\/(v**(-30)*v)*v)\/v))\/v*v))\/v*v)**46 assuming v is positive.\nAnswer: v**(-131468\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -6281217846218 - -0.051\nAnswer: -6281217846217.949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 121.57 (b) 0.4 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -r - 2*r. Let y be (-16)\/60 - 2\/r. Is -5\/3 equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 - (-5 - -28 - (-46 + 46)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33907 is divided by 11297.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of -67*z**5\/60 + z**3\/6 + 2*z**2 - 52*z. Let t(l) = 2*l**2. Determine h(t(b)).\nAnswer: -268*b**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: 52 + -3 + -37 - (12 - -2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 177002?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.28 - 0.45. Let p = -0.13 + w. Which is the third biggest value? (a) p (b) 0.3 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -13*a**5 + 6*a**2 - 11*a - 34. Let w(r) = -13*r**5 + r**3 + 5*r**2 - 9*r - 35. Let m(s) = 5*o(s) - 6*w(s). Find the second derivative of m(u) wrt u.\nAnswer: 260*u**3 - 36*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, b: 1, g: 1, z: 6, k: 3}. Give prob of sequence zg.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c**2 - 4*c - 27. Let r be n(-14). Suppose 5*j - 3*x = 4*j + r, 2*j = -4*x + 842. What are the prime factors of j?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21203915, 21203918, 21203921, 21203924, 21203927, 21203930?\nAnswer: 21203933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -3*g**2 + g - 6. Determine h(-5).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-9))\/(-4)*13\/((-130)\/(-25))\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -3116576?\nAnswer: 3116578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23789\/4340 + -80\/217. What is the common denominator of h and 0 + 291\/(-24) + (-4)\/(-2)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 130 - 78. Let u = -3616 + 3578. Let x = t + u. Which is greater: 2\/5 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -132433420 (base 5) to base 12.\nAnswer: -28445a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f + 2*f + f**2 - f. Suppose 4 = 19*w - 17*w. Let y(d) = 4*d. Let v(z) = 5*z. Let i(n) = w*y(n) - 3*v(n). Determine s(i(j)).\nAnswer: 49*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9298*x**2 + 1 - 4 + 3 - 2606*x**2.\nAnswer: -11904*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(3645)*-2)\/(2*4*sqrt(9)*-1).\nAnswer: -27*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -315025*q**4 - 5974465*q**2 wrt q.\nAnswer: -7560600*q","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 14. Let y be 2\/8 + (-54)\/(-8). Let k be i - -5 - 9\/y. Which is the second biggest value? (a) -2 (b) k (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -3, 11, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 164*r. Let b(l) = l - 3919. Determine b(v(s)).\nAnswer: 164*s - 3919","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1172 a multiple of 263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10\/9? (a) -0.4 (b) 2\/15 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/(((k\/(k*k**(-1\/3)\/k*k))\/k)\/k)))\/(k*k**4)*k**(-10\/11)*k\/(k\/(k**(-7\/4)\/k)) assuming k is positive.\nAnswer: k**(-1363\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3*j = -w - 139, -4*j - 572 = -4*w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/2331 - -86231\/37296. What is the common denominator of 43\/22 and p?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/45 and -16\/639.\nAnswer: 3195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 43777920?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -24 - 7*c - 3*c + 8*c. Let n be r(-13). Suppose z - n*d + 2 = 0, -6*d + 4 = 5*z - 9*d. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120543 (base 6) to base 10.\nAnswer: -10575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-92)\/22 - (-2)\/11. Let a be 2\/i*(-18 + 4). Find x such that -2*x - a*x**2 - x**2 - 4*x**2 + 4*x**2 = 0.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 34024 + 124?\nAnswer: 34203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*f**4\/7 - 166123*f**3\/7 + 333526*f**2\/7 - 3352*f\/7 = 0.\nAnswer: 0, 1\/99, 2, 1676","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4.3, 13823, 2\/3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 PM and 3:29 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 712 - 709 = y. Solve -4*n = -v - 1 - 0, -12 = 3*v - y*n for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5549957 is divided by 15857.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of -x**5\/20 + x**4\/4 + 4*x**3\/3 - 18*x**2. Let f be j(-3). Let w = 45 + f. Solve 0*i + 4*i + w = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14 in -2\/5, 0, 0.2, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*g - g - 1380. Is 8 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/5 of a micrometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2142359 or -2142363?\nAnswer: -2142363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -7*u - 3. Suppose -3*o = -4*l + 20, 14 = -3*l + 2*l - 4*o. Let s(t) = 2 + l - 5. Let m(b) = h(b) - s(b). Find the first derivative of m(z) wrt z.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + (-3 - (-47 + 2)). Let q = 86 - s. Let g = q + -26. Is 16 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(5 + sqrt(275) + -1)**2*1 + 3.\nAnswer: -870 - 120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.07 - 0.07. Let x = -41676\/7 + 5954. Which is the closest to x? (a) f (b) -0.4 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 375, 1338, 2937, 5166, 8019, 11490, 15573?\nAnswer: 20262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3847*m + 2973*m = -13110 for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -740 + 2961*u**2 - 9*u - 2959*u**2 + 9*u as k + w*u**2 + v*u and give k.\nAnswer: -740","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0\/((-4)\/(-4)))\/(-2). Suppose -15*c + 20*c = u. Suppose 2*a + 13 = 5*v, -a + 16 = 5*v - c. What is the smallest common multiple of 44 and a?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 65 - 39. Suppose 23*p = l*p - 195. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -280249 by -89.\nAnswer: 280249\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 4*p = -872424, 0 = -14*y + 11*y - 4*p + 872400. Suppose -4*f - 4*h = y, -290805 = -3*f + 7*f + 5*h. Round f to the nearest one thousand.\nAnswer: -73000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 4*c**2 + 2*c - 2. Is 3 a factor of s(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**7\/(t*((t*t**(-2\/5))\/t)\/t*t))**(-32) assuming t is positive.\nAnswer: t**(-1024\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/4)\/((-2)\/72). Let p be (16\/20)\/((-1)\/20). Is r equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 6307451?\nAnswer: 1892235.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 53. Let g(k) = -5*k - 249. Let i be g(-32). Let w = i - s. Round w to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 332742930?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9977 - 9976. Which is bigger: -1\/2833 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*a + o - 13 = -76*a, -5*a + 31 = -0*a + 2*o for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (140\/(-30))\/(2\/(-3)). Suppose 0 = 2*b - 7*b - d + 9, 5*b + 3*d = a. Factor -2*v**2 + 9*v**4 + b*v**5 - 15*v**4 - 2*v**3 + 8*v**4.\nAnswer: 2*v**2*(v - 1)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5636.269 and 1.\nAnswer: -5636.269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 28\/6 - (-2)\/6. Suppose -j = -0*j - v. Suppose 9*t + j = 4*t. Sort t, 5, 0 in descending order.\nAnswer: 5, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10677*o + 10662*o - 114 = 3*w, -5*w - 166 = o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 3*s - 56, 10*o - 14*o - 3*s = 76. Let l be (33\/o)\/((-1)\/2). Find the second derivative of 76*z**l - 76*z**3 - 22*z - 30*z**4 wrt z.\nAnswer: -360*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 51.5 - -20.5. Let m = 0.226 + -0.326. Which is the closest to m? (a) -2\/7 (b) 0.5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 220279 to the nearest integer?\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.5733 rounded to 2 decimal places?\nAnswer: 32.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 61037*q - 2996*q**2 - 30517*q - 30520*q in the form o + r*q + p*q**2 and give p.\nAnswer: -2996","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 + 19. Let w = -25 + 29. Suppose 3 = -s + 5*x + w, -2*s - 4*x = -72. What is the remainder when s is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4387 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1820 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -73 - -85. Let h be k*5\/(5 - -5). Solve 0 = 2*d + 2*q + 4, -2*q = 2*d - h*q - 14 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 - 25. Let o = -13 + 14. Let l = o - 3\/4. Which is the closest to -2\/7? (a) 2\/3 (b) q (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*z**4 + 2*z**3 - 2*z - 8 + 20*z**4 - 53*z**4 + 3*z**4 + 13*z**4 - 102*z**2 in the form u*z**4 + q + i*z**2 + g*z**3 + y*z and give i.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.22 - -0.02. Let o = 2.03 + -0.03. Let n = o - d. Round n to zero dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of s**6\/144 - s**5\/60 - s**4\/6 - 7*s. Let j(a) be the third derivative of o(a). What is the derivative of j(v) wrt v?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 - 5*g**2 - 4*g - 4. Let w be r(-4). What is the common denominator of 119\/18 and (-374)\/(-112) + w\/(-14)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7583\/1355 + 1\/271. Calculate the common denominator of 35\/4 and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71176 - 77510640.\nAnswer: -77439464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.7 times 4274?\nAnswer: -15813.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -694\/13, 2, 1\/6 in ascending order.\nAnswer: -694\/13, 0, 1\/6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -70, -145, -246, -385, -574, -825, -1150?\n\"Answer: -2*a**3 - a**2 - 58*a - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6\/5 of a meter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1575 + 187 = -4*p - 5*i, -p + i = -356. Does 22 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 + 5*c + 10. Let x be h(7). Let t be ((-4)\/15)\/(x\/10). What is the third smallest value in 1\/5, t, 1\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - -9. Let w be 1*(d + -3) + 0. Let n = 29 - w. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8 + 1\/(45\/(-387)). Let b = 700\/97 + -70283\/9215. Let l = b + 4\/19. Sort 2\/9, y, l in ascending order.\nAnswer: y, l, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -434134032 + 2?\nAnswer: -434134030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 28 = -3*u - 3*p, -3*u = -3*p + 12. Let f(c) = -2*c + 7. Is 16 a factor of f(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -9*c - 6. Let h(y) = -114 + 57 - 8*y + 50. Let m(p) = -6*h(p) + 5*i(p). What is m(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -51*a**2 + 3*a + 20. Let k(l) = 51*l**2 - 4*l - 22. Let x(y) = -5*k(y) - 6*t(y). Is 25 a factor of x(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 18 = 5*u, 7*u = 2*u + 10. Solve 0 = b*r - 8 + 2, i - 1 = -2*r for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (282 - 285)*((-11)\/7 - (-14)\/14)*-7.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -2*c**2 + 2*c**2 + 2*c**2 - 3*c**2 - 2 + 2*c. Find the first derivative of m(d) wrt d.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -47b22b (base 16) to base 15.\nAnswer: -62c2e7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -322, -320, -318, -316?\n\"Answer: 2*a - 324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 5*o**3 + 10*o**2 - 3. Let g(s) = 6*s**3 + 11*s**2 - s - 3. Suppose -3*w - 8 = -23. Let z(d) = w*v(d) - 4*g(d). Determine z(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*a + 124 - 20*a + 48 + 5*a.\nAnswer: -a + 172","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -174*l**5 + 401*l**5 + l**3 - 168*l**5 + 14*l wrt l?\nAnswer: 1180*l**3 + 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 2. Let b(t) = t - 1. Let z be b(p). Let x = z + -3. Is -1\/3 at least as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17*a**5 - 5*a**4 - a**2?\nAnswer: -1020*a**2 - 120*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 5*n + 7776 = 0, -3*g = -5*n - 7470 - 15758. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/3*(-3)\/6*3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 116370703 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.35656507 to three dps.\nAnswer: -0.357","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -5, 3, -3\/4, -0.19, 8 in descending order.\nAnswer: 8, 3, -0.19, -3\/4, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a centimeter in millimeters?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 13 = 5*x - h, 5*h = 2*x + 13. Suppose 1 + 1 = r. Let d(i) = 10*i**2 - x*i**r - 3*i**2. Let s(b) = 24*b**2. Calculate s(d(v)).\nAnswer: 24*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72683 is divided by 2420.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 8:20 AM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 33c4 - 3?\nAnswer: 33c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-189)\/(-399)*78\/702?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209 is divided by 64?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 14 + 14. Solve y = 3*o - 4*o - 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/3 and (375\/(-70))\/(4\/(-14))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -5 + (sqrt(27)\/(sqrt(9) + sqrt(9) + sqrt(9)*3) - (sqrt(3) + sqrt(12)\/sqrt(4) + 3)))**2.\nAnswer: 216*sqrt(3)\/5 + 3843\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -25 + (-5 - (-7 + 7)) + 8\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -676 - 54*m - 1479*m**3 + 274*m + m**4 + 1460*m**3 + 76 + 74*m**2 = 0.\nAnswer: -3, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1274)*-1 - (-1*sqrt(156))\/sqrt(6))\/(sqrt(18)\/(sqrt(576)*2 + sqrt(576))).\nAnswer: -144*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*i**2 - 12 + i**4 + i + 15 + 3*i**3 - 6*i**2 to b*i**4 + j + p*i**2 + r*i**3 + u*i and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1041*k = 940*k + 1414 for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36938 - -61910. List the prime factors of g.\nAnswer: 2, 3, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/767, -0.0629, -0.3, -21?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 PM and 12:46 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1227231.2 times -0.5?\nAnswer: -613615.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*z = 34*z - 12*z + 1394400. What is z rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/6)\/(1\/(-1)*2996\/642)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 15 = -4*l. Let x be (-2)\/(-3) - l\/30. Let v = -0.21 + 0.01. What is the smallest value in v, x, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001117163 rounded to 5 dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/1 + (-6 - -3) - -55. Suppose 0 = 18*p - 9*p - j. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 0.0048035?\nAnswer: 0.0009607","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 14592401 and 14592398 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -114 and 0.1211.\nAnswer: -13.8054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 2056853968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 101, 290, 589, 1010, 1565, 2266, 3125?\nAnswer: 4154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 PM and 6:14 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 - 9*q - 5. Let p be i(-8). Let c(g) be the second derivative of g + 0 - 1\/2*g**2 - 1\/3*g**p. Differentiate c(y) wrt y.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -12. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 498*l + 371. Let s be a(0). Solve -8*k + s = 339 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*a - 4*i + 41, 0 = -2*a - 28*i + 27*i + 14 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-174)\/27 + 4254700\/35325?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3251?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h + 17774487. Let x(g) = g. Determine x(f(q)).\nAnswer: 2*q + 17774487","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 96, 4.\nAnswer: -3, -2, 4, 96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -0.67, -28, 1\/6, -1\/2.\nAnswer: -28, -0.67, -1\/2, 1\/6, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than -140489527.01?\nAnswer: -140489523.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*w - 108*w - 2*k = -86, -41*w + 2*k + 769 = 0 for w.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100020111101 - -10?\nAnswer: 100020111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -3*c + 29089 - 29089. Let b(u) = 23*u**2. What is b(w(q))?\nAnswer: 207*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*m + 13*m + 32 - 2111 = 5061 for m.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -29*y + 328. Let p(x) = 25*x - 325. Determine 6*g(j) + 7*p(j).\nAnswer: j - 307","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*u + 13413 = -26*u. What are the prime factors of u?\nAnswer: 17, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.2 and -0.1915.\nAnswer: -0.3915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -13, -3, -37, -4, -1 in descending order.\nAnswer: -1, -3, -4, -9, -13, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**2 + 11904690*k - 130952195.\nAnswer: 5*(k - 11)*(k + 2380949)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 - 22*s**2 - 21*s - 44. Let b be h(23). Suppose -5*u - 3 = 2. Let n be -1 - (-2 - u - 2). Solve -b = -n*i - 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -4*h**2. Let l(q) = q**2 + 6*q. Let w(v) be the first derivative of -v**2\/2 + 3. Let n(c) = l(c) + 6*w(c). What is u(n(t))?\nAnswer: -4*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vbvppk. Give prob of picking 1 k and 1 v.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 5, 0.5 in increasing order.\nAnswer: -17, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 627 - 620. Solve 3*j = -3*g + 3, b*j = 2*j + 5 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11239*k + 25805*k + 50*k.\nAnswer: 37094*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f**2 - 4*f - 6. Let l be b(5). Which is smaller: l or 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -145 - -162. Suppose s - 2*s = 1, -2*s = -5*h + d. Which is smaller: h or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of p + 0*p**2 + 0 - 1\/3*p**3. Let h(a) = -5*a**2. Give j(h(q)).\nAnswer: 10*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 725264173 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29940989, 29940981, 29940973?\nAnswer: 29940965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/1260*63 + 2.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 37*i - 261 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -189*m**3 - 149*m**2 - 299*m - 5. What is the remainder when j(-2) is divided by 492?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/2 (b) -37 (c) 1\/16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 0*n = -86. Let d be (-75)\/9*(n - -1). Round d to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2893.222*0.9.\nAnswer: -2603.8998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 + 14*h**2 - 34*h - 28. Let p be m(-16). Suppose 3*k = 3*v - 9, p*v - 4*k - k = 15. What is the closest to 0 in -0.4, v, -79?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 3\/7, -5, 0.1, 0.2 in ascending order.\nAnswer: -23, -5, 0.1, 0.2, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1\/37, 5, -4\/11, -4.3, -10 in descending order.\nAnswer: 5, 1\/37, -4\/11, -3, -4.3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -4510\/751 not equal to -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45570 = -5*u + 5*l, -u + 9120 = l - 4*l. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20.7 bigger than 723?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 20021 (base 5) in base 7?\nAnswer: 3451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*v + 3396257 = 857579. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 12 + 2 + -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of -697*w**3\/3 - 51*w**2 - 102*w - 52. Let h(f) = -34*f**2 - 5*f - 5. Calculate 102*h(p) - 5*j(p).\nAnswer: 17*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1567 + -262. Calculate the remainder when z is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*k - 3094560 = 4*k. What is the units digit of k\/(-150) - 4\/(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -31*x**2 + 7*x - 13. Let a(h) = -6*h**2 - h + 2. Let q(b) = 5*a(b) - l(b). Calculate q(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of -5*j**3\/6 + j**2 + 11*j. Let s be h(-10). What is the units digit of s\/(6\/15*5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of 49*d**6\/6 - 175*d**5\/4 - 45*d**4 + 250*d**3\/3 - 40*d**2 - d + 41. What is i in h(i) = 0?\nAnswer: -1, 2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 16\/15 of a hour?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 498, 503, 508, 513?\nAnswer: 518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 49*a**2 - 3*a - 4. Let q be l(-2). Suppose 4*s - 2*f - q = 0, -s + 6*f = 4*f - 42. Suppose -4*h = -z - 178, h + 3*z = -14 + s. Does 10 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 80616, 80611, 80606?\nAnswer: 80601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2080 and 640?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + 3*z**2 - 6*z + 9. Let c(a) = 5*a**3 - 11*a**2 + 24*a - 37. Let x(t) = 2*c(t) + 9*w(t). What are the prime factors of x(-5)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 543359342 divided by -271679671.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of -q**4\/12 + 5*q**3\/6 - q**2\/2 - q. Let l = -62264 - -62267. What is w(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9508, 9521, 9542, 9571, 9608, 9653, 9706?\nAnswer: 9767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 96c (base 14) in base 10?\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -182, -966, -2990, -6890, -13302, -22862, -36206, -53970?\n\"Answer: -106*g**3 + 16*g**2 - 90*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*a**4*l + 29*a**2*l**3 - 4*a + 2*l**3 wrt a?\nAnswer: -36*a**2*l + 58*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - v - 1 = 0, -2*c = -v - 0 - 1. Suppose -1 = -c*l - 2*l - 5*x, -3*l = -x + 7. Put 0, l, -3 in ascending order.\nAnswer: -3, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3209774?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 10600282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0 (b) 275 (c) 524\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - -31. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -3*i + 6. Let m be (-2)\/i - 3\/9. Let s = -82\/3 + 27. Do s and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + 4. What is the common denominator of (4\/(-8))\/(c\/74) and -87\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/135741262 and -39\/10.\nAnswer: 678706310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 - 3*p + (-7 + p + 7)*(2 + 2 - 7) - 2 + p + 2 to the form j*p + l and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/4)\/(2\/(-6)). Suppose -2 - 1 = t*z. List the prime factors of (-34)\/(-4) + z\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h - 196764248812*h**2 + 196764248815*h**2 - h.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 233 - 227 - (-2 - -12).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*a**3*n*u - 1677*a**3*u**2 + a**3 + 59*a**2 + 2*a*n*u + 2*a*n + 2*a - 81*u**2 wrt a?\nAnswer: -66*n*u - 10062*u**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -10230 (base 4) to base 10\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 519 a factor of 569553714?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 5 = -30. Let i(s) = -s + 5. Let m be i(q). Suppose m = -5*d - 9 + 39. What is the remainder when 16 is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -58 + 68. What is the hundreds digit of (0 - 1) + 2560\/c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - n + 11 = 0, 0*n - 10 = -2*n. Suppose 4*w = -5*x + 594 - 238, -f*x + 221 = -5*w. Suppose 3*y = -0 + x. 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: How many nanometers are there in fourty-five eighths of a micrometer?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26022 + 116129. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - -37. Let j = 46 - s. Calculate the remainder when 335 is divided by ((-6)\/2 + -1)*(j - 12).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 3155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3293 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.101 rounded to one dp?\nAnswer: 46.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 - -311. Let u = 340 - g. Which is the nearest to 0? (a) -3\/4 (b) -0.3 (c) u (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 2*f + 48 = 0. Let i(v) = v**3 + 4*v**2 + 2*v. Let q be i(-4). Let u = q + f. Solve -u*r = 9 + 11 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1086 is divided by 285.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 320 = 5*v - 1395. Let g = 4128 + -3995. Let d = v - g. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.5 + 6.5. Let t = -14 - -3. Let u = v + t. Which is the nearest to 1? (a) 1\/2 (b) -0.3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 804?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 51*w + 1378. What is v(-27)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.1 (b) -4\/9 (c) 2\/9 (d) -0.11 (e) 3\/19796\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3279327229?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 + 16*q**2 - 14*q - 3. Let i be y(15). Suppose -u = -i*u + 33. Suppose -4*t = -0*t - 32. Solve r = 4*k + 13, -k + t = -u*r + 5*r for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -5*x**3 - 365*x**2 + x. Let o(r) = -r**3 + 3*r**2. What is -l(d) + 4*o(d)?\nAnswer: d**3 + 377*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4*x**2 - 2*x**2 - 4*x**2 + (5 - 4 - 30 + 2*x)*(-2*x + 2*x + 2*x).\nAnswer: 2*x**2 - 58*x - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 129*r**2 - 131*r**2 + 5*r**3 - 5*r**3 - r**3 + 32 + 10*r. Let g be j(-4). Solve 4*x = 4*k + g, -5*k + 2*x - 5*x = -10 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 509*r - 257*r - 242*r + 4*r - 6*r + 3*r + (0*r + 3*r - r)*(-2 + 0 + 1) to the form x + p*r and give p.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + p**3 - 2)*(p**2 - 2*p**2 + 3*p**2).\nAnswer: 2*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -6613.\nAnswer: 4\/6613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 PM and 5:53 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of 2*c**3\/3 - c**2 - 2*c. Let k = -170 + 172. Let a be s(k). Solve 2*y + 2*v - a = 2, 3*y = 4*v - 23 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1294, -2613, -3944, -5293, -6666, -8069, -9508?\n\"Answer: -j**3 - 1312*j + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -2005?\nAnswer: -2011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1 and -17954449394695.1.\nAnswer: -17954449394694.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*y - 19 = -6 + 53 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-4)*(l*l*l**(2\/21)*l*l)\/l)\/((l\/(((l**(-1\/2)*l)\/l)\/l))\/l**(-1\/5))*((l**(-1))**(-21))**(-3\/35) assuming l is positive.\nAnswer: l**(-227\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (27 - 30 - -3) + 1*5. Solve -148*b = -153*b - o for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.1637312 - -0.8569683. Let a = p - 0.1207345. Let o = -2.9 + a. Round o to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -9*y**2 - 2*y - 15. Let m(p) = -5*p**2 - p - 8. Let h(t) = -11*m(t) + 6*v(t). Let i(q) = -2*q - 5. Let r be i(-4). What is h(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + 16 - 16)*(14*b**3 + 2*b**2 - b**3 - 15*b**3).\nAnswer: -4*b**4 + 4*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t + 39 = -13*t. Let j = 25 + t. What is the greatest common factor of j and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/585*-2)\/(1242\/345)?\nAnswer: -1\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 4*y**3 - 2*y**2 - 10*y + 2. Let q be t(-3). Let w = q - -99. Suppose 342 = 4*m + f, -w*m - 2*f + 431 = f. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*(d\/(d\/(d**(-7)*d))*d*d)\/d*d)\/d**(-2\/3))**(30\/13)*(d**(-7)\/d**0)\/((d**(1\/11)*d)\/d**(-2\/15)) assuming d is positive.\nAnswer: d**(-29191\/2145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -275*w**3 + 507*w**2 + 766*w**2 - 870*w**2.\nAnswer: -275*w**3 + 403*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.9649 to one decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of c**3\/2 - 6*c**2. Let m(v) = v - 1. Give -m(x) - t(x).\nAnswer: -x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -4*r**2 + 7*r - 6. Let k(g) = 2*g - 18*g + 9*g**2 + g + 13. Let m = 4 + -4. Let c be 1\/1 - -12 - m. Calculate c*f(x) + 6*k(x).\nAnswer: 2*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 0*q = 6. Find the third derivative of 0*h**3 + 40*h**4 + 59*h**q - 46*h**4 - 9*h**3 wrt h.\nAnswer: -144*h - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 15 = -3*p, 0 = 7*c - 6*c + 4*p + 2 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*q + 5*q - 18981 = 18*q. What is the remainder when 761 is divided by q?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-4 - (3 + -18))) + (-1 - -1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-704)\/2024 + 20210\/6923.\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 + 13*g**3 - 27*g**3 + 13*g**3 - 2. What is s(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1247484?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -600*h - 44 = -644*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + 8*u**2 - 8*u + 10. Let s be r(-9). Let w be (6 - 0) + -2 + s. Suppose -3*x = -w*x, 3*h = -2*x - 88200. Round h to the nearest one thousand.\nAnswer: -29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 1554?\nAnswer: 9324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m - m + 3*m + 0*m. Let n = 32 - 30. Calculate the least common multiple of w(n) and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31702?\nAnswer: 2, 11, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1411694 at least as big as 1411701?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 4:17 AM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 792 + -791.8. Which is the third smallest value? (a) 3 (b) 4 (c) w (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 586 - 1117\/2. Find the common denominator of w and 51\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/144 and -113\/18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2\/21, -3, -0.1015876 in decreasing order.\nAnswer: 2\/21, -0.1015876, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -5*w**3 + 8*w**2 - 6*w - 6. Let k(g) = 13*g**3 - 21*g**2 + 17*g + 17. Calculate -4*k(o) - 11*m(o).\nAnswer: 3*o**3 - 4*o**2 - 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/8*122 + 427\/(-1037)*17\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.987065 days to seconds.\nAnswer: 258082.416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u - 1. Let v(t) = 5*t + 17. Let b(m) = 4*i(m) + v(m). Suppose 0 = -379*q + 806 - 2159 - 3574. Let z(x) = 2*x + 26. Determine q*b(c) + 6*z(c).\nAnswer: -c - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h**4 + 20*h**3 - 84*h**2 + 12*h + 100. Let g(j) = -8*j**4 + 59*j**3 - 252*j**2 + 38*j + 294. Let a(b) = 2*g(b) - 7*r(b). Factor a(i).\nAnswer: -2*(i - 2)**2*(i + 1)*(i + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15943 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i - 5. Let t be f(7). Let c(k) = -k**2 - 2*k - 5. Let o(d) = 4*d**2 - 1 - 2*d + 8*d + 17. Let n(p) = 10*c(p) + 3*o(p). What is n(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 327, 654, 983, 1314, 1647?\n\"Answer: d**2 + 324*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12820325?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -44*t**2. Let a(w) = 46440 - 7*w - 46440. Calculate d(a(f)).\nAnswer: -2156*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (79891\/(-678) - -119)*(21 - 3*(-4 - -3))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1482 and 1014?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 368, 391, 450, 557, 724?\n\"Answer: 2*a**3 + 6*a**2 - 9*a + 369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/3)\/g*g**(4\/7))**(2\/19)*((g**(-2))**(5\/7))**(1\/27) assuming g is positive.\nAnswer: g**(-226\/3591)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27*i**4*t + 725*i**4 - 2*i**2 - 2*i*t - 66*t - 39793 wrt i?\nAnswer: -324*i**2*t + 8700*i**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 - 92251811?\nAnswer: -92251279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1423848 divided by 6.\nAnswer: -237308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 - 14*i + 44. Give u(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a factor of 1315272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -261?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -58 - 6. Let u = 18 + v. Suppose -r - 4*y = -56, -u*y = -3*r - 4*y + 118. What is the highest common divisor of 4 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/8 of a decade?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*g**2*m**2*w - g**2*w - 2*g*m**2*w**3 + m**3*w - 2*m*w + m - 21*w**3 wrt m?\nAnswer: -22*g**2*w - 4*g*w**3 + 6*m*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + r - 3*r - 22 = 0, 5*r = -k - 11. Suppose -m + 55 = k*m. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*d**2 + 23*d**2 - 4*d**2 + 25*d**3 + (3*d**2 - 3*d**2 + 2*d**3)*(4 - 4 + 2).\nAnswer: 29*d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -25*n - 406. Determine m(-14).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -421\/8 - -53. Let x(c) = -2*c - 1. Let q be x(-2). Suppose -q*b + 5*r + 13 = 0, 0 = 2*b - r - 2*r - 8. Which is smaller: o or b?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25122 <= 25120?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 a, and 1 i when three letters picked without replacement from eeikeddae.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1 + sqrt(3) - sqrt(3))*-6 + -1 + 3*(sqrt(3) + 2) + sqrt(3)*3*-2)**2.\nAnswer: -66*sqrt(3) + 148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 88 or 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0012913 rounded to 4 dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 84*m - 40*m - m**2 - 44*m. Let t(d) = -216*d**2. Give u(t(w)).\nAnswer: -46656*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millennium in decades?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23760379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124770455?\nAnswer: 5, 283, 88177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*((-52)\/(-3))\/(16\/(-252)*-21).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18753 - 21064.1. Round p to the nearest 10.\nAnswer: -2310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 4:13 AM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 PM and 1:16 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9202 + 9201.99091952. Let f = -0.70908096 - u. Let v = f - -0.7. What is v rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 28.30406?\nAnswer: -84.91218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 328 + -323. Let y be (2\/(-28))\/((-205)\/40 + o). Factor 12\/7 + y*z**2 + 16\/7*z.\nAnswer: 4*(z + 1)*(z + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -330 - -437. Suppose 3*i = h + 351 + y, h = -2*i + 307. Is i a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 20*r**2 - 154*r - 13. Calculate h(8).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 - 1. Let w be (-52)\/156 - 4\/(-3). Let s(o) = -3*o**2 - 5*o + 3. Calculate w*s(n) + 5*d(n).\nAnswer: 2*n**2 - 5*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 208342769 to the nearest integer?\nAnswer: 593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 11*n - 14 + 2*n**3 - n**3 - 12*n**2 + n**3 - 3*n**3. Let y be z(-13). Let u = 3 + -1. Solve 3*x + 5*l = -y, -u*l = 2*x - 0*l + 4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159*d - 5753 + 1204 + 415 = 0 for d.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k**2 + 0*k**2 - 3*k**2)*(-5 - 2*k + 5) + (-3*k**2 + 0*k**2 + 0*k**2)*(-6*k + k + 3*k).\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 5*q**3 + 89*q**2 + 8*q - 77. Give w(-18).\nAnswer: -545","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*o**3 + 115*o**2 - 66*o**6 + 7*o**6 + 2 - 185*o**2 + o**3 wrt o?\nAnswer: -7080*o**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 1, 9 in descending order.\nAnswer: 9, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -26.9 (b) 0.2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of -27*m**6\/20 + m**4\/24 + 4925*m**3\/6 + 3*m**2 - m + 10. Find the second derivative of x(o) wrt o.\nAnswer: -972*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 43 or 304\/7?\nAnswer: 304\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148326190 is divided by 291.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-280)\/50)\/((-184)\/(-30)*(-18)\/(-12))\nAnswer: -14\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7591*f - 1315134 + 1315134.\nAnswer: -7591*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*q - 2)*(199*q + 21 - 383*q + 163*q).\nAnswer: -42*q**2 + 42*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4180 = -654*s + 635*s. Suppose -47*y + s = -3*y. Solve 2*k - 4*k - y = -b, -k = 3*b + 13 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/10 and (436\/(-48))\/(-2 - -3).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -6*n + 14. Let g(h) = -h + 3. Let y(u) = 11*g(u) - 2*r(u). What is the remainder when (1 - -41) + (1 - 0) is divided by y(10)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2234790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 777566151*f**3 - 2*f**2 - 33*f + 1356823 wrt f?\nAnswer: 4665396906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 315 in decreasing order.\nAnswer: 315, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 412284 a multiple of 258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 284, 1000, 2408, 4742, 8236?\nAnswer: 13124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -23, -126, -229, -332?\n\"Answer: -103*j + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 685 + -291. Suppose 2*j - 2*h - l = -6*h, -4*j + 2*h = -818. What is the tens digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + x**2 - x + 3. Let j(r) = r**3 - 557*r**2 + 2*r - 6. Let p(v) = -2*c(v) - j(v). Find s such that p(s) = 0.\nAnswer: 0, 185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a factor of 3479055?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4381 + 4381.2. Which is the fourth smallest value? (a) w (b) -0.4 (c) -4 (d) 4 (e) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21259.54 - 21262.139993. Let n = 2.655 + -0.055. Let q = o + n. Round q to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = 156 - 345 + 173 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 228.261 decades to months.\nAnswer: 27391.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - -5. Let d(i) = f*i**2 + 4*i**2 - 8*i**2. Let x(l) be the first derivative of l**2 + 1. Calculate d(x(t)).\nAnswer: 20*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 34 = -f, f + w - 23 = -f. Let h(q) = q**2 - 3*q - 2. Let n be h(6). Suppose n = -3*y + 7*y. Solve -k = -3*o - 6, -2*k + o = -y*k - f for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -162268 and -0.09.\nAnswer: 14604.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -75486 and 226?\nAnswer: 75712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 4:13 PM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (6\/(-15))\/(10 + 1433208\/(-143320))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 + 15*d**2 - 24*d + 9. Calculate the remainder when b(13) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 + 6*a + 71. Let l be z(11). Solve 9*d + l = d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*g - 6*g - 23*g - 3*g.\nAnswer: -60*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wgxhwghx. What is prob of picking 1 h and 2 x?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 5*w = -2*w + 60, -3*i + 58 = -4*w. Let a(u) = u**2 + 2*u + 4. Let k be a(-4). Let z = i - k. 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: Simplify (((h*h*h**(-2))\/h)**35\/(h**(-3\/7)*h**(-14)*h))**(13\/2) assuming h is positive.\nAnswer: h**(-1963\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 2. Let z = 1 + v. Suppose -n + z = 2*n. Put n, -5, 0.1 in increasing order.\nAnswer: -5, 0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 + 9*j**2 + 5*j - 5. Calculate c(-9).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + -2*3 - 0. Let y = 3147 - 3149. Let i(b) = b**3 + 6*b**2 - 4*b - 21. Let w be i(-6). Sort q, y, w.\nAnswer: q, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 378 and 313938.\nAnswer: 6592698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ezqq when four letters picked without replacement from {c: 2, q: 3, e: 4, z: 2, u: 1, r: 2}?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -34.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113 - 112 + 5*t + 118 - 107 + 214.\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of m**3\/3 + 2. Let v(r) be the third derivative of -1\/8*r**4 + 0*r**3 + 0 + 0*r - 3*r**2. Give v(s(c)).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/(a**(3\/16)*a))*a**(-13))**(-27))**(1\/62) assuming a is positive.\nAnswer: a**(5103\/992)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 + 6*w. Let g be 813*(-5 - 3)\/(-24). Let r = -275 + g. Calculate m(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 15\/(-6) - (-6)\/2. Put z, 1, 6\/5 in increasing order.\nAnswer: z, 1, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 6:06 AM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -7, -2 in decreasing order.\nAnswer: -2, -7, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 + 20*y + 28. Let n be i(-20). Suppose -5*l + 4*j + 12 = 0, 2*j = 5*l + 6*j - n. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1 + 0)\/(-7 + 6))\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -22*c**5 + 928*c**4 - 11542*c**3 + 37180*c**2 - 38152*c + 5776 = 0.\nAnswer: 2\/11, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/((-15)\/(-74)))\/((-3)\/(-21225)). Suppose -29710 = 6*g - x. What is g rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + -111002?\nAnswer: -111002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*y - 19*y - 32 = -5*b, -3*b + 2*y = -32. Suppose 7*v + 12 = b*v + 4*p, p = -v + 12. Solve -3*o + 4*c + 20 = -2*o, -o - 4*c = v for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 71470980 by -567230.\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and 145348?\nAnswer: 1598828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 13 (b) 0.01 (c) 14 (d) -19 (e) -0.5 (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 9:04 PM?\nAnswer: 8:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 1171*c + 9. Let m be 88\/(-5) + 18\/30. Let u(l) = 3514*l + 28. Let i(t) = m*p(t) + 6*u(t). Let a be i(5). What is a rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/((-32)\/4)*-10. Solve -2*k + 6 = -4*p, -3*k + 6 = -r*p - 4 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/405 and 14\/2025.\nAnswer: 2025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 14800\/5363 < 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/12 - (-34)\/8. Solve 5*d = 4*j + 12 - l, j = -5*d - 8 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 538618518 to the nearest integer?\nAnswer: 814","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 444833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n + 11. Let x be m(15). Let a(h) = 36*h - 216. Let y be a(6). Put y, -2, 8, x in descending order.\nAnswer: 8, y, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1445411?\nAnswer: 11, 101, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 51 and 4.\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 7*f - 5*b = 135, b = -2*f + 45. Let d(c) = c**3 - 7*c**2 + 9*c - 10. Let t be d(6). Calculate the highest common factor of f and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107272263 - 154*n**2 + 107272263.\nAnswer: -154*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -30379468*-36\nAnswer: 1093660848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -6, 29, -3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 13435, 13546, 13657, 13768?\n\"Answer: 111*f + 13324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.9 + 6.2. Let y be 0\/2 + 6 + -2. Suppose -4*t = 5*x - 25, 4 = -y*x + 2*t - 2. Which is the nearest to 0.1? (a) 0 (b) d (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*y**2 + 125*y**2 - 40*y**2 - 51*y**2.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a day in seconds?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3098)\/3)\/(4\/(-12)). Suppose 633 = -5*j + a. Suppose -5*m + 168 = b, -3*m = 3*b + m - j. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 437, 8, 0, -3, 5, -1 in ascending order.\nAnswer: -3, -1, 0, 5, 8, 437","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 102 in -334, -3006, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t**3 - 4*t**2 + 4*t + 3. Determine j(4).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -2 + (-59 - -54) + -8 + -1\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -75*2*(-2)\/4?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5128093, -5128106, -5128115, -5128120, -5128121, -5128118, -5128111?\n\"Answer: 2*s**2 - 19*s - 5128076","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 316 + -213. Let x = 93 - o. Which is the third smallest value? (a) 0.5 (b) x (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 57, 2717, -5 in decreasing order.\nAnswer: 2717, 57, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 97333 or 97321?\nAnswer: 97321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 51925 and 52006 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1147308, 2294087, 3440868, 4587651, 5734436?\n\"Answer: h**2 + 1146776*h + 531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 - 566*n + 75432. Calculate c(215).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18820 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, z: 2, c: 5, y: 4}. Give prob of picking 1 c, 1 y, and 1 d.\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2025*d - 8052. Determine h(4).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g\/(g*g**29))*g**(12\/7) assuming g is positive.\nAnswer: g**(222\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1185\/10)\/3 + (210\/84 - 5).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q**2 - 610*q - 611. Calculate n(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 PM and 3:49 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 34635.5 rounded to the nearest one thousand?\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203555 is divided by 89?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5203342733 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 10976973, 0 in decreasing order.\nAnswer: 10976973, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of -g**4\/84 - g**3\/14 - g**2\/7 - 3*g + 5. Let x(s) be the first derivative of k(s). Find a such that x(a) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 51*t**3 + 10*t - 1317 wrt t?\nAnswer: 153*t**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 81988.82l?\nAnswer: 81988820","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -5*k**3\/4 - 43155*k**2\/4 - 23100390*k + 774106740 = 0.\nAnswer: -4332, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7447922783?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 156789 to the power of 1\/2, to the nearest integer?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3098687*j**2. Let c(u) = 2*u**2. Give n(c(w)).\nAnswer: 12394748*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3068?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1849.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in five eighths of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -20*m + 1. Let r be q(-1). Let p = -17 + r. Let i be (-4)\/(-6)*2\/(-4). Put p, i, -4 in increasing order.\nAnswer: -4, i, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 16 = 2*w, 5*j + 2*w = -0*w + 11. Suppose g = -0*b + j*b - 46, 4*b - 2*g = 60. What is the remainder when 46 is divided by b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/30*2\/9*2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 94639942 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -301*a - 1279. Calculate q(-5).\nAnswer: 226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 539097 to the power of 1\/2, to the nearest integer?\nAnswer: 734","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = 3*g + 2, -3*g + 2 = -2*g + 2*d for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 10*l**3 + 5*l**2 - 7. Let y(h) = -9*h**3 - 4*h**2 + 6. Give 6*t(c) + 7*y(c).\nAnswer: -3*c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 174, 538, 1098, 1854, 2806, 3954?\n\"Answer: 98*l**2 + 70*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**3 + m**3 + 0*m**3)*((2 - 6 + 2)*(2 - 2 - 4*m) - 3*m + 4*m - 4*m).\nAnswer: 10*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-4*(1 + sqrt(1377)))**2 + ((6*(sqrt(153) + sqrt(153)*2) + sqrt(153) + sqrt(153))\/((sqrt(9) - sqrt(99)\/sqrt(99)) + sqrt(9)))**2 + 1.\nAnswer: 7200*sqrt(17) + 553649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3160\/(-1264)*((-168)\/(-2009))\/(10\/(-14))\nAnswer: 12\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/3)\/(o\/((o*o**0)\/o))*o**(-5)*o*o*o\/(o*o**(-3\/2))*o)**(1\/2) assuming o is positive.\nAnswer: o**(-7\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k + 10. Let q be d(5). Suppose 8*u - 46 - 1530 = q. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**2 + 7*t + 8. Suppose -4*m - m - 5*j = 0, 4*m - 4 = -5*j. Let g be u(m). Let w = 27 - g. Solve 0*b + 27 = -b - 5*r, -5*b - w = r for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-24))\/((-199)\/35820)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -3*q**2 + 18. Let u(l) = -3. Let j(f) = -1. Let g(x) = -7*j(x) + 2*u(x). Let m(n) = -6*g(n) + w(n). Solve m(d) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 2*k - 38 + 31, 3*k + 4*a = 16. Let w(u) = -16*u. Let f(d) = -15*d. Let n(s) = 3*f(s) - 2*w(s). Let i(q) = 7*q. What is k*n(j) + 7*i(j)?\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -461180 less than -78?\nAnswer: 461102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6646 - -2841. List the prime factors of g.\nAnswer: 53, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 42*t**2 - 6 + 47*t**2.\nAnswer: 5*t**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**7*y)\/y**4)\/((y**(-3)*y)\/(y\/((y\/(y**(-6\/13)*y*y))\/y))) assuming y is positive.\nAnswer: y**(111\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 115\/130*-54 + (144\/(-52))\/12.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 71629317*j + 40280387 wrt j?\nAnswer: 71629317","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2668 and 348?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - -117?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24*(-16)\/384)\/(2\/(6\/7)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 0 - n + 2*n + 4. What is d(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*l, -i + l + 7 - 3 = 0. Suppose -5*g + f - i*f = 0, 4*g + 4*f = -12. Suppose 0 = c - g*c + 37. Is 13 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*u**2 + 7*u**2 + 4998*u**3.\nAnswer: 4998*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of -9*x**7\/14 + x**6\/120 - x**5\/30 + 21*x**4\/8 + 7*x**3\/6 + 888*x**2 + 2. Find the third derivative of s(o) wrt o.\nAnswer: -3240*o + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of -r**4\/4 + 2*r**3 - 3*r**2\/2 + 6*r + 1. Suppose u + 4*t = 1, -2 = 4*t + 2. What is the tens digit of w(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 46864897?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.429070827 to four dps.\nAnswer: 1.4291","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4740049?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - j = -3, 2*j = -i - 2*j - 5. Suppose -x - 6 = -3*x. Let p = x - i. Solve 12 = -4*y + p for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (27850\/675 - (0 - (-39)\/9)) + 4\/54\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-6))\/((-2)\/(-6)). Let n be 120\/(-33) + (115 - 111). What is the third smallest value in 3, n, a?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 72351?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 66005266?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -545371.991 to the nearest 10000.\nAnswer: -550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (-48 - -45 - (-6 - 0) - (-7 + 3))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 4*y + 18. Let n(b) = -b - 4. Let h(k) = 2*m(k) + 9*n(k). Let f(r) = -37*r**2 + 3*r. Calculate h(f(l)).\nAnswer: 37*l**2 - 3*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 33561\/(-21505) + (-1)\/(-5). Let m = -34\/23 - s. Sort -0.1, 2, m in descending order.\nAnswer: 2, -0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1193*g = 696*g + 8693 + 23612 for g.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*a**3 + 5*a**3 + 6857 + 29568 + a**3.\nAnswer: -a**3 + 36425","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 1365 + 1366 = o, 3*o = 2*y - 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11411*o + 28484.\nAnswer: 11411","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 2\/35 (b) -3 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22 and 377608.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.008 or 70056?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(0 - -4))\/((-47)\/(-1034)). What is the third derivative of 18*b**3 + c*b**4 - b**5 - 1 - 73*b**2 + 24*b**3 - 42*b**3 wrt b?\nAnswer: -60*b**2 + 264*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6*5\/((-420)\/(-16)))\/((-1670)\/(-1169)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of 1\/4*n**4 - 37*n + 1\/2*n**3 + n**2 + 1\/4*n**5 + 0. Let x(m) = 16*m**3 + 10*m**2 + 10*m + 6. Give -10*s(h) + 3*x(h).\nAnswer: -2*h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1574100 divided by -550.\nAnswer: 2862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -234, 0.1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 - z. Let g(l) = 6*l + 11*l**2 - 5*l**2 + l**3 + 5 + 0. Let h be (-5)\/1 - 0\/3. Let w be g(h). What is f(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-350))\/(-1*-3*(-4)\/(-48))?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 + -1)\/(0 + (-2)\/(-33)). What is the common denominator of (-810)\/9*(2 + j\/32) and 53\/14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1116 by -62.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61364648 = 76*m + 9798648. What is m rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((2*sqrt(1300) - sqrt(13))*5 + 3).\nAnswer: -190*sqrt(13) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6059 and 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (328*d - 2640*d - 163 + 163)*(15*d - 8*d**2 - 15*d) as p*d**3 + k*d**2 + g*d + z and give p.\nAnswer: 18496","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1109\/5 or 126498?\nAnswer: 1109\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 46\/7 at least 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 - (-6)\/4)*24. Let t be (-1)\/1*q\/12. Is 0 - (2 + -336 + t\/(-1)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.2 + 7.2. Which is the fourth smallest value? (a) s (b) -1\/3 (c) -4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.78 - 3.54613729023.\nAnswer: -1.76613729023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 5*p + 33, -9 = 5*p + 16. Suppose -u = u + 2, 0 = -3*f - 4*u + z. Let v(i) = -i + 2 - 2*i + f*i**2 + 2*i + i**3 + 2*i. Give v(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 5*p = -17, -3*u - 2*p + 14 = -4*p. Let z(j) = 21*j + 254. Let t be z(-12). Solve 0 = u*m - 4*v, -t*v + 1 + 13 = 5*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -25419*g**4\/7 - 151029*g**3\/7 + 26691*g**2 - 10431*g\/7 + 6 = 0. Calculate g.\nAnswer: -7, 1\/229, 2\/37, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198 - 197 = -5*l. Let q = 24 + l. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 PM and 3:31 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 + p - 12. Let t = 32 + -25. Let v be k(t). Calculate the greatest common factor of v and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(240) - (sqrt(240) + sqrt(240)*4)) + sqrt(240))*1 - sqrt(240))\/(sqrt(320) + -4*sqrt(320))*-2.\nAnswer: -4*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468) + 4 + sqrt(13))**2 + (sqrt(78)\/sqrt(6))**2 + 1 + (0 + (sqrt(5200)*2)**2 + sqrt(5200) - sqrt(5200)).\nAnswer: 56*sqrt(13) + 21467","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -212022 (base 3) to base 10.\nAnswer: -629","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -4*b**2 - 6*b + 31. Let t be v(5). Let x = -95 - t. Calculate the smallest common multiple of x and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26.6 - -21.2. What is d rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21750 and 300719850?\nAnswer: 4350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, 10, 107, 272, 511?\nAnswer: 830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) -2 (c) 39 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 75*r - 5. Let c(z) be the second derivative of -z**5\/20 + 5*z**4\/12 + 5*z**3\/6 + 4*z**2 + 4*z. Let v be c(6). Is 29 a factor of b(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1247 and -20.\nAnswer: 24940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 4288\nAnswer: 4288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -19*m + 84 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8.1 + 9. Let z = t - -4.1. What is the smallest value in 4, 1, z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 60.9 + -56.9. Which is the closest to -1? (a) w (b) -5 (c) 93 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (7 - 0)) + (-4 - -5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 208 divided by 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 2146 = 2*h - 1616, -5*v + 1869 = h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of -u**6\/60 + 1613*u**5\/15 - 353*u**4\/12 + 5*u**3\/6 - 5455*u**2. What is the second derivative of h(x) wrt x?\nAnswer: -12*x + 12904","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/12 + (-28)\/33. Let m = 3.4 + -3.4. Which is the nearest to -0.07? (a) 2\/23 (b) x (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 46, 4, 1, 18, 2 in decreasing order.\nAnswer: 46, 18, 4, 2, 1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 335\/45) + 2*(-20)\/(-90).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 10) to base 5\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of 79*c**4\/24 + 81*c**2. Let v(q) be the first derivative of -3*q**2\/2 - 152. Calculate v(a(k)).\nAnswer: -237*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3a (base 13) to base 16\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-20)\/(-70) + (4632\/(-14))\/3. Let u = 124 + f. What is the least common multiple of 6 and u?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u + 5*u + 4*u**2 + 6 + 1 - 3*u**2. Is d(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92421 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as 1402943.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a**3 + 5*a**2 + 2*a - 1. Let t = 8 - 13. Let z(m) = 3*m**3 - 7*m**2 - 3*m + 1. Give t*z(q) - 7*f(q).\nAnswer: -q**3 + q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-8)*(-24)\/36 + 30\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + k + 2*k**2)*(2*k**2 + 2 - 2) - 2*k**3 + 2*k**3 + k**4 - 6*k**3 + 6*k**3 + 5*k**4 + (-k**2 + 0*k + 0*k)*(5*k**2 - 4*k**2 - 2*k**2).\nAnswer: 11*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 6, n: 10, m: 2}. What is prob of picking 1 m, 1 q, and 2 n?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 14, 2, 2\/7, 0.4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 98\/9 - 472\/45. Let n(j) be the first derivative of -1\/2*j**2 + 0*j**3 + 0*j**4 + 0*j + g*j**5 + 1. What is the second derivative of n(d) wrt d?\nAnswer: 24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -525*p + 78 = -551*p. Let y = -1 + 2. List the prime factors of y\/(14\/4 + p).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -10*o**5 + 795*o**4 - 16380*o**3 + 22810*o**2 + 390*o - 7605 = 0.\nAnswer: -1\/2, 1, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -10 - -8 - (0 + -1). Suppose -h - 20 = 4*h. Let s be (2\/y - h)\/(-2). Which is the nearest to -1? (a) 4 (b) -0.3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-37))**(-19\/5)\/((n*n**(-21))\/((n\/(n**1*n*n))\/n*n)) assuming n is positive.\nAnswer: n**(-632\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g - 21. Determine h(12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -3 (c) 2\/9 (d) 0.3 (e) 3\/19 (f) 81\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 3007.3224 to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**8*y**(1\/11))\/(y**(-5)*y*y*y**6*y) assuming y is positive.\nAnswer: y**(56\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 183*o**2 + 168*o**2 - 63*o**2 + 159*o**2 - 495*o**2.\nAnswer: -48*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - 1 - (-6 - 2). Solve -t = 3*n + 6 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 3*o - 50. Determine j(33).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/6 - 749*t**2\/3 - 14905*t\/6 - 6200.\nAnswer: -(t + 5)**2*(t + 1488)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*-1*sqrt(30))\/(5*-1*sqrt(10) - sqrt(10)) + 2 + (sqrt(3) + sqrt(3) + sqrt(75))*-5 + 2*sqrt(75))*6.\nAnswer: -144*sqrt(3) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a**2 + 10 + a**2 + 3*a - a**2 - 9*a**2 + 25464*a**3. Let d be c(6). What is d rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147 - 147 - 28858943*q**2.\nAnswer: -28858943*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 359 is divided by 127.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (93\/682)\/((-3)\/4)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 5*i = -1, -i = -3*w + 6 + 7. Suppose -8*h + 15852 = w*h. Let v(r) = h - r**2 - 1321. Let u(c) = -13*c**2 + 3*c. What is v(u(x))?\nAnswer: -169*x**4 + 78*x**3 - 9*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 12896381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 388266250 and 811?\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 756.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.343 - -0.057. Let v = 0.22 + 4.34. Let r = v - x. What is r rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1307695743 divided by -3.\nAnswer: 435898581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 194 - 284. Let r = 64 + z. Let b = -25.9999995 - r. Round b to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 7 - 41 = -3*r - 2*r, 7*r - 8*r + 4 = 0 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x - 14 = 26 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express v**2 - 5 + 1 - 6 in the form p*v + m + n*v**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4 - 1)*-31*1.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29146246117 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1322 - 16*u**2 - 1322 + 3*u**2.\nAnswer: -13*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21354 = 3*z - 3*c, 0 = -2*z - 3*c + 4160 + 10081. Suppose z = -4*d + 11*d. Is d a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o - 252 - 1008 = 0. Suppose -8*h - 14 = -4*h + f, 0 = 5*f - 10. Let q be (6\/4)\/(h\/(-48)). Calculate the greatest common divisor of q and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*c - 52*c - 65 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 AM and 6:47 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 82427614?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*z**2 - 5*z**3 - 3*z**3 + 42*z**2.\nAnswer: -8*z**3 - 11*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -180\/23 (b) 4\/27 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r**3 + 41*r**2 - 243*r + 1585. Give l(16).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 3*b + 266 = b, -4*b - 392 = -4*l. Suppose -3*o = 22 - l. Let k = o + 0. Solve 2*x = -3*q + 8*q - k, -x - 2 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 324?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109596 + 1116096 = 16*q + 39*q. What are the prime factors of q?\nAnswer: 2, 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 - o**2 - 6*o - 4. Let i be m(-2). Calculate the common denominator of 25\/8 and i - (5*-1)\/((-72)\/28).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2550 and 4928750?\nAnswer: 251366250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3633, 3649, 3665, 3681, 3697, 3713?\n\"Answer: 16*b + 3617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a tonne in grams?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 10*f + 5. Suppose 2*u = r + 1, -r + 6*r + 5 = -5*u. Suppose 0 = v - u*v - 9. Is 7 a factor of n(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4993342212\/(-1802) + 2\/17. Round b to the nearest ten thousand.\nAnswer: -2770000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 8.77 (c) -7768\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(896))\/(sqrt(50) + -2*sqrt(7200)))**2.\nAnswer: 4032\/13225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from kggrgrikkr?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16458390*w**3*y**3 + 8*w*y**3 - 10*w*y + 180 wrt w.\nAnswer: 98750340*w*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*f - 2681 - 838 = 0. Calculate the highest common factor of f and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-1)*1\/(-4)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/(-14) - (-38)\/14) + 2. Let i(t) = t**2 - 6*t + 7. What is i(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -438*d + 437*d + 4*o - 25, 30 = -4*d + 2*o for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 90 (b) 2\/45 (c) 0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(2\/3)\/p**1 assuming p is positive.\nAnswer: p**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 3216.148 to the nearest ten.\nAnswer: 3220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = 13*f - 6 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -6*p + 7*p + 3*p + 7*p. Let a(q) = 2*q - 3. Let g(j) = 4*j - 5. Let z(m) = -5*a(m) + 3*g(m). Calculate u(z(r)).\nAnswer: 22*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18*t**3 - 11*t**3 - 6 - t**3 wrt t.\nAnswer: 18*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + (7 - (-20 - -23)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -i**3\/4 - 515*i**2\/2 - 121447*i\/4 + 61239\/2 = 0?\nAnswer: -894, -137, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of -w**5\/60 - w**4\/4 - 7*w**3\/6 + 5*w**2. Calculate r(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - -1*sqrt(325))**2 - (sqrt(637) + 3).\nAnswer: -7*sqrt(13) + 465","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*2*6323707\/(-74) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (4*((-1*sqrt(363))\/sqrt(11))\/sqrt(11) - (1*sqrt(1200) + sqrt(1200) + 5)**2))*-2.\nAnswer: 808*sqrt(3) + 9640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.05 and -21865809?\nAnswer: -1093290.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 36*k + 13. Is f(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 7:16 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-19))\/w**(-3\/4))\/(w*w**(15\/4)\/w*w*w)**31 assuming w is positive.\nAnswer: w**(-391\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/(-12))\/(105\/258). Let p = h - -2\/21. Find the common denominator of p and 31.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 492, 480, 464, 444, 420?\nAnswer: 392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 5*j = 14. Let s(b) = -2*b**2 + 3 - 3*b**2 + 23033*b**3 + 10*b - 3*b**2. Let k be s(j). Round k to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20 - -15) + (0 - (-1 - -7)) + 2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6770 + 6896. What is the greatest common factor of k and 2926?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*2\/120)\/(5\/(-40)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 245*a**4 + 2*a**2*v + 36*v - 4 wrt a?\nAnswer: 980*a**3 + 4*a*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 6*z - 20. Let i(y) = 2*y - 6. Let w(o) = 2*o**2 - 17*o + 11. Let l be w(7). Let m(n) = l*i(n) + 3*q(n). Let c(k) = -41*k**2. Determine m(c(h)).\nAnswer: 82*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/14? (a) 2109 (b) 0.04 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -205, -502, -1853, -4954, -10501, -19190, -31717?\nAnswer: -48778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*p + 0*p - 4*p)*(142 + 5*p**2 - 285 + 144 + 9*p) in the form a + u*p + t*p**2 + q*p**3 and give t.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (2 - 33)*(-1692)\/47 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + 20*q + 40. Give z(-17).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 822 and 798162?\nAnswer: 822","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -100211102 (base 3) to base 13\nAnswer: -3353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 = 5*j - 4*t - 191, -3*t + 3 = 0. Suppose 5*l + 37 = 3*p - p, j = 2*p + 5*l. Let o = 85 - p. What are the prime factors of o?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -6*l + 64. Let k be y(5). Suppose 13*v - 16*v = d - 15, 3*d - 2*v - k = 0. Solve 0 = 5*r - 4*r - 4*h - 12, 2*r - 2*h - d = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 + a**2 - a + 2. Let s be c(0). Let k(g) = -9*g + 4 + 100*g**s - 1 + 5*g. Let u be k(1). What is the greatest common divisor of 11 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 * -0.525\nAnswer: 11.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*i - 165 + 70 = 69 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j = -139 - 77. Let c be 40\/j + ((-2)\/(-6) - -1). Solve x + c*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12379?\nAnswer: 12379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*q**3 - 43*q**3 - 22161 + 11081 - 33*q**3 + 89*q**3 - 5*q**3 + 11080.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 33146268?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 47*a + 39 = -42*a, -3 = -a. Let h(d) = -1. Let v(m) = -31*m + 6. Determine g*h(b) + v(b).\nAnswer: -31*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -246087 or -246020?\nAnswer: -246020","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {n: 4, t: 3, s: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 1259*i - 20066. What is v(16)?\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v**2 - 706*v + 10. Let h(q) = -3*q + 2. Calculate -f(o) + 5*h(o).\nAnswer: 2*o**2 + 691*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1a64011 (base 13) to base 6\nAnswer: -510521535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2e59 (base 15) to base 7.\nAnswer: 41052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10\/547 - 4312\/56341. Let w = 91\/206 - n. Factor -w - 1\/6*l**2 + 2\/3*l.\nAnswer: -(l - 3)*(l - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107*q + 1803 = -27*q + 7297. Solve 42*y - 7 = q*y for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 101180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -3*t + 8, -5*h - 121 = -t - 81. Let x(z) = z**3 + 10*z**2 + 26*z + 22. Calculate x(h).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29955.498 months to decades.\nAnswer: 249.62915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(270)\/sqrt(6) - sqrt(5))**2 + 0.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1021120001100 + -10?\nAnswer: -1021120001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 10200 (base 3) to base 2\nAnswer: 1100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21 - 21002121102102?\nAnswer: -21002121102011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 39, 84, 129, 174?\n\"Answer: 45*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, -4238, 0.005, -2\/3, 2\/19, -2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -2 + (-12 + 8 - -25) + 1\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2287422 by 2.\nAnswer: -1143711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - (1 + -6 + 7 + 3)) + -5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -142, 1, 250, 611, 1090?\n\"Answer: x**3 + 47*x**2 - 5*x - 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -0.731.\nAnswer: -0.1462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147 = 3*n + 5*c - 2*c, -5*c = n - 49. List the prime factors of n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 339 minutes after 2:45 AM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.000031136027 to 6 dps.\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23802 + -23797. What is the nearest to 1 in 1\/2, 30, -0.1, k?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**2 - 10 - q**2 + 7 + 4*q**2 - q in the form c*q**2 + y + x*q and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 103245 to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1100)\/330*(-6)\/5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*i - 31407 = 2718. Calculate the least common multiple of 55 and i.\nAnswer: 5775","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2553853?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 83209 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 140, 143, 146?\nAnswer: 149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6146213 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -1.1 (b) -3\/2 (c) 1301\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14147947 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(275) - (1 + 5*sqrt(275))) + sqrt(275))*-2 - (4 + 4 + 4*sqrt(275) + sqrt(275)))**2.\nAnswer: -60*sqrt(11) + 311","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a century in months?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jjeej.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23.21998mg to grams.\nAnswer: 0.02321998","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.37 - 0.57. Let k = 0 + y. Let z = 0.1 - k. Which is the closest to -1? (a) z (b) -2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002243914689 rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u - 20 = -13*u. Suppose 64 = 3*m + m + 4*w, -u*w = -2*m + 32. Is 14 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 640.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*y + 27*y**2 + 6*y - 251*y**3 - 27*y**2 + 0*y in the form h + x*y + v*y**2 + k*y**3 and give k.\nAnswer: -251","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 717 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 10 = -2. Let s be 60\/1 + 4 + x. Let n = s + -35. Is 13 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -105 + 105. Solve -t - 5*h + 0 = 20, -2*h - 8 = z for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**5 + 31*x**4 - 69*x**3 - 99*x**2.\nAnswer: x**2*(x - 3)*(x + 1)*(x + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 5*t = -4*l + 30, -4*l + 22 = 3*t for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31579*p**3*u**2 + 576*p**3 - 39*p**2*u**2 + 23*p**2 - 6*p*u**2 + 4*p*u - 18*p wrt p.\nAnswer: -189474*u**2 + 3456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 + 14*h + 17. Let p be z(15). Let f = 15 + -9. Solve -p*g + 2 - f = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34 and 4454.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -1 + sqrt(252))**2*-3 - ((1*2*sqrt(70))\/(sqrt(80)\/(-1*sqrt(8))))**2.\nAnswer: -796 + 72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 - 9*h**2 - 10*h + 3. Determine c(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 85*x + 87*x + 95468 = 0, 0 = 2*r + 2*x - 63652. Is r a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(4\/36*6). Let u be (j\/2)\/(9\/(-30)). Let t(m) = m**3 + 7*m**2 - 2*m - 3. What is the tens digit of t(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 + 52. Suppose -i - 5*x + 23 = 0, 4*i - 5*x - 4 = r. What is the remainder when 50 is divided by i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 1, 0, -2607 in increasing order.\nAnswer: -2607, 0, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-31)\/(-31))\/(15\/24)*(-25)\/(-12).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {l: 2, k: 2, b: 2, p: 4}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, -50, -66, -98, -152, -234, -350, -506?\nAnswer: -708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w**2 + 14*w + 14. Let i = -13 - -12. Let f be k(i). Let x(h) = -6*h**2 - 2*h - 1. Determine x(f).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 28724087?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -9*a**2 - 2*a. Let y(u) = u**2 - u. Give n(d) - 2*y(d).\nAnswer: -11*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 352\/(-308)*(-1)\/12*-14?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 451*a - 4291. Is i(13) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 254027635 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(1539) + -2 + 4)*-6*1 + 0)*-6.\nAnswer: 360 + 1620*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.2 + -1.4. Let v = -6136 - -6133. Put -6\/11, v, m in decreasing order.\nAnswer: -6\/11, m, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 1\/7, 1\/4, 2, -2\/3, 94?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -0.03, -0.36, -1342, 2 in descending order.\nAnswer: 2, 2\/3, -0.03, -0.36, -1342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -140222633 (base 7) to base 3\nAnswer: -122010020122112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 63*p**2 + 1451*p + 80. Let w be g(-23). What is the greatest common factor of 3587 and w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36577708 and 2?\nAnswer: 36577708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 7*v**2 - 193*v - 4. Let o(d) = -12*d**2 + 385*d + 7. What is 7*n(p) + 4*o(p)?\nAnswer: p**2 + 189*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 843393 to the power of 1\/2, to the nearest integer?\nAnswer: 918","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43 + -27. Is 10 a factor of b\/(-1 - -3) + 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 - 14*j + 38. Suppose -4*f - 4*y + 32 = 0, 2*f - 3*y - 19 = -4*y. Let i be l(f). Solve 5*k = i*s - s + 5, 5*k + 3*s = 40 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/13 (b) -2 (c) 1\/2 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 18*i**2 - 1. Let o be h(1). Suppose o = 5*m + 2. Suppose 6 = -m*y - 5*n, 27 = 5*y - 4*n - 0*n. Sort 0, y, 4 in increasing order.\nAnswer: 0, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of 9*o**2\/2 - 34*o - 191. Let a(y) = 20*y - 67. Let p(k) = 2*a(k) - 5*i(k). Let l(f) = f - 7. Determine -11*l(m) - 2*p(m).\nAnswer: -m + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5418?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 5 + 50 = 0. Which is the third biggest value? (a) -4 (b) 3 (c) j (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1642176 or 24632632\/15?\nAnswer: 1642176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 156889140 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16448413 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 49566422?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 499.468 + -500. Let a = -0.468 + f. Sort 16, a, 0.1.\nAnswer: a, 0.1, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of -i**5\/60 - i**4\/4 + i**3\/6 + 3*i**2 - 920. Determine k(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4843.491 millilitres in litres?\nAnswer: 4.843491","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 468*y - 21475. Calculate c(46).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/((-3)\/9 - 0)*1. Suppose u = -4*u + m. Let v = 20 - u. What is the remainder when 118 is divided by v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6*n + 3 - 3)*(2*n + 0*n + 0*n) + (3*n - 4*n + 3*n)*(-n + 3*n - 3*n) - 7*n**2 + 3*n**2 + 3*n**2)*(3 - 3 - 2).\nAnswer: -18*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 22477*l + 20. Let j be o(-4). Let q = j + -27112. Round q to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r + 6. Let z be j(0). Let x be z\/(-4) + (-2)\/(-4). Let l(u) = -u**2 + u. Let v(t) = -3*t**2 + 6*t. Suppose 0 = 4*k - 20 + 4. Give k*l(o) + x*v(o).\nAnswer: -o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 1\/1)\/(-2). Suppose 2*p + 4*l - 138 = p, -5*p + 5*l + 690 = g. Find the common denominator of 3\/20 and (p\/8)\/(-6 + -9).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/10)\/(540\/180).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of 0*v**4 + 0*v + 17\/6*v**3 + 1\/120*v**6 - 7\/30*v**5 + 41*v**2 + 0. Differentiate m(u) with respect to u.\nAnswer: 3*u**2 - 28*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39 and 16341.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -64\/3225 and 101\/317340?\nAnswer: 1586700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2214198295 to the nearest integer?\nAnswer: 1303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/10)\/((-7)\/(630\/12)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.03 - -1.97. Let d = -2631 + 2626. Is d greater than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 2*s + 431 = s, -s = -4*l - 563. Let c = l - -164. Solve p - 20 = -c for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14520 rounded to the nearest one thousand?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2361 - -2362. Sort -4, 3, 8, w.\nAnswer: -4, w, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (308 - 321) + (1 - -2). Let a(h) = -9*h**2 + 4 - 14*h - 3*h**3 - 2*h**2 + 2*h**3. What is the remainder when a(s) is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 2)*(-2 + 0 + 7)*(-2*o + 0 + 2 + 4*o).\nAnswer: 10*o + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k + 21. Let p be y(-8). Solve -2*z - 12 = -2*c + p*c, 8 = -3*z - 2*c for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 6*s**3 + 6*s - 16. Let i(f) = 3*f - 7. Let t be i(4). Let v(h) = -2*h**3 - 2*h + 5. Calculate t*a(b) + 16*v(b).\nAnswer: -2*b**3 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 294\/(-140)*157\/(-6). Let v = y + -327\/10. Calculate the common denominator of 35\/6 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 8, -3, 0, 447?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1745117?\nAnswer: 11, 158647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.02, 1\/3, 1920?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 84\/(-36)*(-6)\/21*3. Let l(r) be the second derivative of 0*r**3 - 5\/12*r**4 - 7*r + 7\/2*r**k + 0. Differentiate l(g) wrt g.\nAnswer: -10*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 116313.9 milliseconds?\nAnswer: 116.3139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(sqrt(3)*1))\/sqrt(4)*-6.\nAnswer: -6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 PM and 2:36 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34241464?\nAnswer: 2, 4280183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-130)*-13)\/((-4)\/10)*450\/(-36)\nAnswer: 25\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -70d3b (base 15) to base 6.\nAnswer: -11354232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from {s: 3, k: 1, v: 6, f: 2, u: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -48 - -52. Let b(p) be the second derivative of 0*p**3 + 2*p - 1\/3*p**r + 0 - 5\/2*p**2. Differentiate b(s) with respect to s.\nAnswer: -8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*p - 3908 - 3*p - 5429.\nAnswer: 3*p - 9337","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*d - 24 = 23*d. Let f(v) = -d + 2*v + 15*v**3 + 3*v**3 - 29*v**3 + 5*v**3 + 3*v**2. What is f(-2)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 126561, 253132, 379703?\nAnswer: 506274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1217203 (base 8) to base 14.\nAnswer: -8a399","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4 (b) -37 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 167, 226, 285, 344, 403, 462?\nAnswer: 521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-15)\/(-35) - (-1160)\/70. Suppose 27*v - 88 = -j*v. Factor -2\/3*n + 2\/3*n**v - 4\/3.\nAnswer: 2*(n - 2)*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5080971769 to the power of 1\/4, to the nearest integer?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 4590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-52)\/14 - -4)\/1. Let o = 0.37 - 0.07. Which is bigger: t or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1430 and 1640?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 13*i. Suppose -59*c + 77*c = 72. Let r(x) be the third derivative of 0 - 1\/12*x**c - 4*x**2 + 0*x**3 + 0*x. Determine r(k(w)).\nAnswer: -26*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/2*8\/(-6). Suppose 2*i + 10 = f*i. Let a = 6417 + -6398. Solve -4*z = -i*y - a, -2*y - 3*z - 3 = -0*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3749, -3760, -3765, -3752, -3709, -3624, -3485?\n\"Answer: 2*h**3 - 9*h**2 + 2*h - 3744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 427748.98 to the nearest ten thousand.\nAnswer: 430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 474 is divided by 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 108*k**3 + 906480*k**2 + 302151*k + 25179.\nAnswer: 3*(k + 8393)*(6*k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 7 = -9. Let u be 117\/12 - 2\/i. Suppose 0 = -b - 2 + u. Solve -8 = -4*h, -b = -5*q - h - 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 4, -38, 0.\nAnswer: -38, -4, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*((k\/((k**15*k)\/k))\/k)\/k)**(-4\/7)\/(k*k*k**(1\/2)*k\/(k*k*k**(-3\/7))) assuming k is positive.\nAnswer: k**(93\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2721829659?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1\/38090 - -379987\/34776170. Let b = -5\/1347832032 + 5907323171279\/3691711935648. Let y = w + b. Find the common denominator of y and -143\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 PM and 11:47 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 - 34268?\nAnswer: -34223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/477, 0, 4 in descending order.\nAnswer: 4, 0, -1\/477","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - 98 - (-36 - -76 - 40)?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 794*g**2 + 585*g - 586. Determine j(1).\nAnswer: 793","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8774 + -5974. What is the thousands digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.211947cm in kilometers?\nAnswer: 0.00000211947","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 4, 3, -197178 in descending order.\nAnswer: 7, 4, 3, -197178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2283 = 502*m + 2567 - 29950 for m.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 523494, 523043, 522592?\nAnswer: 522141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43, 243, 779, 1819, 3531, 6083, 9643, 14379?\nAnswer: 20459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 116562?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -37696.4 - -37696. Which is the fifth biggest value? (a) -8 (b) g (c) 0.3 (d) 1 (e) 70\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, m: 3, n: 1, t: 4, p: 1, r: 2}. What is prob of sequence ni?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*n - 4*s + 53 = 21*n, 0 = -n + 5*s - 90 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 - 6*u**2 + 6*u - 5. Suppose -4*y = -p + 13, 3 = -p + y - 5*y. Let j be t(p). Suppose -167 = -3*d - 5*a, -5*d + 3*a + j*a + 233 = 0. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = 5*s - 4*s. Suppose 0 = 3*t - 9 - 0. Suppose x - 3 = 2*q - 3*q, -23 = -q + t*x. What is the greatest common divisor of q and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of -43*q**5\/5 - 833*q - 791. What is the first derivative of s(j) wrt j?\nAnswer: -172*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + -1 + (-36)\/(-18). What is the tens digit of ((-354)\/8)\/((-33)\/8 + g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15498444 - 15498392.999112. Let w = 51 - a. Round w to 5 decimal places.\nAnswer: -0.00089","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30893\/37 - 835. What is the third biggest value in d, 1\/4, 0.1, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of 1\/12*j**4 + 0*j + 1\/30*j**5 + 1\/120*j**6 + 26*j**2 + 11*j**3 + 0. Is p(0) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 356*u**2 + 126*u - 244. What is the tens digit of r(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 - 11. Suppose 3*w + 4 = q. Solve -5*i = -w*i - 6 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/197042 and -1\/72044?\nAnswer: 85516228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(1800) + sqrt(1800) + -2*sqrt(1800) + sqrt(1800)) + sqrt(1800)*1*4)\/(6*sqrt(150)*2 + 2*sqrt(150)*1).\nAnswer: 8*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 - 6*i**2 + 9*i + 46. Let n be f(-7). Solve -n*a = -41*a + 18 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(343) - sqrt(7) - sqrt(7))*-2*-1)**2.\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 39*r**4 + 2*r**2 + 547 wrt r?\nAnswer: 156*r**3 + 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5647144553?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(20\/(-8)))\/(-14)*-1\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 - 17*g + 17*g - 173*g**2.\nAnswer: -173*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 155*u - 4119. Give j(22).\nAnswer: -709","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 0 - 62. Suppose 173 = 12*u - l. Solve 16 = -4*r, -4*r + 9*r = -3*p - u for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 12 = 5*z - 57, -4*z + 26 = -2*x. Put 3, -3, 4, x in ascending order.\nAnswer: x, -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 12*h + 7. Let r(i) = -28*i. Give r(d(c)).\nAnswer: -336*c - 196","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of 71*s**4\/24 + 4*s**2 + 1. Let h(p) = 8*p + 12. Let d(w) = -w - 1. Let q(x) = 12*d(x) + h(x). Give c(q(g)).\nAnswer: -284*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of k**4*y - 22*k**3*y + 255*y wrt k?\nAnswer: 4*k**3*y - 66*k**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 2*t - 4*n = -2, 5*n - 13 = -4*t. Suppose 0 = -3*g + t*g - 4, -1671 = -5*i - g. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 2*y + y. Let d(b) = -2*b**3 - b**2. Let z be d(-4). Suppose z + 63 = 5*v. What is the greatest common divisor of y and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of z**6\/40 - 3*z**5\/80 - 15*z**4\/8 + 2717*z. Factor f(d).\nAnswer: 3*d**2*(d - 6)*(d + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1020 + 1110220021?\nAnswer: 1110221111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7 * -0.03.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/12 - 14\/(-8). Suppose 3*k + q + 29 = -x*k, -8 = 4*k - 3*q. Let h = 8 + k. Solve 5*u - 15 = -2*o + 4, -5*u = h*o - 16 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.02 - 1.92. Let t = m - -2. Let n = 0.3 + -0.2. Is n equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -10, 0.1, 26\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -10*h**4 + h**3 - h**2 + h. Let v(u) = -15*u**4 + 2166*u**3 - 2161*u**2 + u. Let w(y) = -k(y) + v(y). Factor w(o).\nAnswer: -5*o**2*(o - 432)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6941*i**5 - 2*i**4 - 1411*i**3 + 1453431*i**2 - 22 wrt i?\nAnswer: 416460*i**2 - 48*i - 8466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -48, -58, -40, 12, 104, 242?\nAnswer: 432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5 and -297701879558.\nAnswer: -297701879553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(((l*(l*l*l\/(l\/(l\/(l**2\/l))))\/l)\/l)\/l))\/(l*l*l**(5\/2)*l))\/(l**(-1))**(-43))\/((l*l**(3\/8))\/(l*l**(-3)*l*l))**(-26\/3) assuming l is positive.\nAnswer: l**(-427\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 142288\/5 + -28073. Let d = -384 + x. Solve 3\/5*m**2 + d*m + 0 = 0 for m.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 4 = -m. What is the lowest common multiple of 8 - (-8 + 15) - -11 and m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - 3. Let f = -2.3 + -0.7. Let s = 2.9 + f. What is the closest to s in 0.5, r, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-24)\/(6\/1) + -311. Let g = -220 - m. Is 21 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 7 + 7)*(2*b - b - 3*b) - 2*b**2 - 3*b**2 + 20*b**2 + 2*b.\nAnswer: 11*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (2 - (3 + (-3 - -2))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -18\/5, -5, -9, 3, 2, 59?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/(-4))\/1*-8. Let k(b) = -363*b + 1817. Let w be k(5). Suppose -w*d - v = -4*d. What is the least common multiple of 8 and d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 19 (c) 198 (d) -0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 + 37*g**2 - 42*g - 216. Let b be d(-38). Suppose 0 = -3*r + 2*r - 62. Let t = r - b. Solve 0*k = -2*v - t*k, -2*k = -6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 570\/(-12) - 3\/(-2). Let u = v + 54. Is 4 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 15cd9 - -8?\nAnswer: 15ce2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 143808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - 10 - (-1 + 14)) + (3 - -38)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cpcp when four letters picked without replacement from pclppwpclplppclpwcpp.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - 5*q**2 + 2*q - 2. Let t be l(4). Is (t\/15)\/((-6)\/81) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16a3b0 (base 15) in base 4?\nAnswer: -10023333303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -39\/23?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 259*w**2 - 557*w**2 + 305*w**2 + 5*w - 2*w - 3*w.\nAnswer: 7*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/25 of a millennium?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 AM and 2:54 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 1:38 PM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1090\/(-80) - (1 - 3))*(-636)\/477. Solve -25\/2*x**4 - 57\/2*x**3 + 12*x + 10 - 3\/2*x**5 - m*x**2 = 0 for x.\nAnswer: -5, -2, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kqqqkk. What is prob of picking 3 q?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -205, -505, -799, -1087, -1369, -1645, -1915?\n\"Answer: 3*i**2 - 309*i + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2243 = -116*r + 193 for r.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*(-6)\/10*1370\/1644.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 + -9. Let i be -2*24*(g - 4). Let v be (-6)\/(-15) + i\/(-20). Which is smaller: -3 or v?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -o + 2*o - 19, 3*i - 17 = 5*o. Let f = 5 - i. Let -f - 13*b - b**2 + 11*b - b**2 + b**2 = 0. Calculate b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4417625 <= -4417624?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 2*c + 10 = -0*c, -p - 5*c - 13 = 0. Suppose -k - p*v - 2 = -0, 2*k = -2*v. Put k, -5, 1 in descending order.\nAnswer: k, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 35532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4088, -8063, -11934, -15701?\n\"Answer: 52*l**2 - 4131*l - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*k**3 - 2*k**2 + 5*k**2 - 77*k**3 - 5*k**2.\nAnswer: -45*k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8682, 8817, 8956, 9099, 9246?\nAnswer: 9397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119818.\nAnswer: 2, 139, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 219*-41753\nAnswer: -9143907","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36096?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 7, -1750, 2, -2\/9, -36, 0.5 in decreasing order.\nAnswer: 9, 7, 2, 0.5, -2\/9, -36, -1750","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/23)*c)**(3\/4)\/(c*c*c\/(c\/(c\/(c**(-4\/3)*c)*c)))**(-28) assuming c is positive.\nAnswer: c**(33713\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*c = 2*u - 54, 3*u - 624 + 560 = -8*c for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-400)\/15400)\/(((-24)\/(-63))\/8)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 36\/49, -473, 1\/124?\nAnswer: 1\/124","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 401115 divided by -51.\nAnswer: -7865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 554 + -1663\/3. What is the nearest to y in 5, -0.08, -1, 0?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42688 and 770008.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 11, -1270, -5 in ascending order.\nAnswer: -1270, -5, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -l**4 + 832*l**3 + 3*l**2 + 2*l?\nAnswer: -24*l + 4992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*u + 29 + 46 = -3*b + 3*b, -4*b - u - 29 = 0 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/22 and -89\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1785 + -1733 + (1 - 4) - 0\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 3*i - 392, 3*i = -2*r + 5*r - 1236. Let n(y) = -142*y**2 + y + 1. Let p be n(-1). Let g = r + p. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -72 - -77. Differentiate -p*n + 15*n + 20 + 5*n wrt n.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3*a**2 + 4*a + 5. Let d be w(-2). Solve 4*m - d = 7 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 249\/332 - 1365\/60?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -82.88 and 0.014?\nAnswer: -1.16032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 7*g**2 + 74*g - 4 + 67*g - 145*g. Let b be a(-2). Suppose 3*m - 38 = -b. Solve -5 = -2*u + 5*j, 6*u - m*u + 11 = 3*j for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -147868.416 and 2.\nAnswer: -295736.832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*c - 5*c = 76 - 541 for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 809 < 809?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40.42413cm to meters.\nAnswer: 0.4042413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7105638 divided by 5.\nAnswer: -7105638\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -249, -247, -245, -243, -241?\n\"Answer: 2*a - 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(1\/3))**(-7\/3)\/((q*q*q*q*q\/((q*q**(-5))\/q*q))\/(q\/q**(-6))) assuming q is positive.\nAnswer: q**(-32\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 650, 638, 626, 614, 602?\nAnswer: 590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - 8249\/(-2))*-2. Let l = z + 51249. Suppose k = 2*k + l. Round k to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, f: 7, c: 4}. Give prob of picking 4 f.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.04 - -4. Suppose 0 = -4*d + 25 - 21. Which is bigger: d or q?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 355*l = 3205 + 10096 + 61959. What is the remainder when 525 is divided by l?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 1817 - 676 - x**2 - 604 - 633 + 19*x. What is m(9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 - 13*y - 34. Let a = 3 - 2. Calculate the least common multiple of b(-9) and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of -4*d**7\/21 + 7*d**5\/10 - d**4\/6 - d**3 + d**2 + 4*d. Suppose n(q) = 0. What is q?\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3383010 to the power of 1\/2, to the nearest integer?\nAnswer: 1839","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -306792.\nAnswer: 5\/306792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 0.2, -1\/5, -1\/25, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 180 + -193. Let o be 1\/(-1)*(-5 + y\/(-2)). Let m = -0.4 + 2.4. What is the smallest value in -3, o, m?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -54 + 54.72. Let x = z - 0.22. Suppose 0*w = 2*w - 8. Which is the smallest value? (a) x (b) -5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/9)*z*z**(-3\/5))\/(z*z**1)**(-13))\/((z*z**(-2\/3)*z**2)\/(z**2*z\/z**(-1\/6))) assuming z is positive.\nAnswer: z**(2471\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of 57*p**5\/5 + 15*p**3 - 62. What is the third derivative of x(h) wrt h?\nAnswer: 1368*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -163, -289, -413, -535, -655, -773?\nAnswer: -889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 2. What are the prime factors of 17 - a\/(0 + -3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 25 + 15. Let f = -15802 - -15852. What is the highest common factor of f and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3\/4 + 3*x**2\/4 - 3*x\/2.\nAnswer: 3*x*(x - 1)*(x + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 1:01 AM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 25*n**2. Let w(s) = 14960*s**2. Give r(w(b)).\nAnswer: 5595040000*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*m - 519 = -1711 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2504051 plus -5?\nAnswer: 2504046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 7) to base 9\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -79396*r + 265607.\nAnswer: -79396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(6 + -3) - (-2 + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 710847*f = 710694*f + 13158 for f.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -30 + -33121?\nAnswer: -33151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 PM and 4:38 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 195390 by 32565.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -31*w**3 + 21*w - 6. Let o(y) = -6*y**3 + 4*y - 1. Determine 2*d(q) - 11*o(q).\nAnswer: 4*q**3 - 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from kkykkkkkkkkyllykyky.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, g: 10, b: 1, l: 1}. What is prob of picking 4 g?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10255 = -3*n + x, 5*x - 11858 = -5*n + 5227. Is n a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24 + -1. Let g be (-10)\/s + (-57717)\/(-20). Let m = g - 2863. Find the common denominator of 37\/5 and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/5 of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 5. Let m(l) = l - 6. Let z(b) = -4*b**2 - b + 22. Let j be z(2). Give j*k(i) + 3*m(i).\nAnswer: 3*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -1268.86766 to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -107*-2727.\nAnswer: 291789","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 2*j - 128 = 2*w, w + 3*j + 60 = 0. Let c be (3\/(-9))\/(7\/w). Suppose -3*p - 72 = d, -c*d = -p - 7 - 7. Sort -1\/4, -2, p in ascending order.\nAnswer: p, -2, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 366445045 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 190094?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of -p**2\/2 + 6*p + 4. Let v be k(6). Solve -4*s + 0 + 8 = v for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2*q)*(2 - 1 - 3) - 5*q + 3*q + 0*q + (5 - 10 + 26)*(4 - 4 + 2*q) + (-5 - 2 + 3)*(0 + 0 - 3*q).\nAnswer: 48*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/11, 11, -91, 0.05, -2\/5?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -408, -615, -514, 51, 1236, 3197, 6090?\n\"Answer: 26*g**3 - 2*g**2 - 383*g - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1980) - (sqrt(1980) + sqrt(1980)*-4))\/sqrt(5) - (-2 + (sqrt(396))**2 - (sqrt(11) + (sqrt(11) - (sqrt(22)\/sqrt(8))**2))).\nAnswer: -1587\/4 + 26*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 = -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001173 to six dps.\nAnswer: -0.000117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - 19*b**2 + 52*b - 40. Calculate a(-22).\nAnswer: 268","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -44 - -82. Solve 4*x - i = 5*c - 9, 0 = -4*c - 3*x - 17 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1133*j**4 + 8*j**3 + 317*j + 20474807.\nAnswer: 4532*j**3 + 24*j**2 + 317","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2410342302 (base 5) to base 11\nAnswer: 3157687","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 15, 18, 5, -30, -93, -190, -327, -510?\n\"Answer: -p**3 - 2*p**2 + 16*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 20 = -q, -4*q - 4*p + 5 + 3 = 0. Let u be 2\/q - (-2440)\/25. Suppose -3*r + u = 2*k, -k = -r + 3*k + 42. Is 8 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 322*f - 982*f + 102*f to v + r*f and give r.\nAnswer: -558","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12871.\nAnswer: 61, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8.1 and 5.\nAnswer: 40.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/4532 and -101\/12.\nAnswer: 13596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/4 (b) 0 (c) -998 (d) 22\/49 (e) -1\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -12100404 (base 5) to base 3\nAnswer: -12201110112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 7) to base 4.\nAnswer: -301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/10251 and -64\/177.\nAnswer: 604809","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11314687268 rounded to four dps?\nAnswer: 0.1131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of -22\/105*i**7 + 0*i**6 + 0 + 0*i + 0*i**5 - 49\/2*i**3 + 33*i**2 + 0*i**4. What is the first derivative of c(v) wrt v?\nAnswer: -176*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14472673*l**4 + 186006132?\nAnswer: -57890692*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 818*y - 447*y = 347*y + 1104 for y.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of -u**8\/1176 + u**6\/210 - u**4\/84 - u**2\/2 - 3. Let g(k) be the second derivative of h(k). Factor g(d).\nAnswer: -2*d*(d - 1)**2*(d + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 390 and -5.\nAnswer: -1950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9157 + 14466. Differentiate -u*h + 5309*h + 159 - 231*h**3 with respect to h.\nAnswer: -693*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c - q + 7160 - 7218, 0 = -4*c - 30*q - 134 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -640180 divided by 5\nAnswer: -128036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 8*k - 3*k + 2, -4*s - 4*k + 20 = 0. Suppose 3*c + 0*c - s = 0. What is the units digit of 2*(2 + (c - 2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-3)\/3)\/(-1))\/((-203)\/(-116)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 74 - 72. Suppose -6 = 2*x - 44. Let s = x + -9. Solve -m*f = 8, -j - j - f = s for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -5*a + 41. What are the prime factors of t(-6)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 19*f**2. Let p(a) = 19*a - 12. Let i(l) = 2*l - 3. Let h(t) = -4*i(t) + p(t). Give h(j(v)).\nAnswer: 209*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 18, 24, 42, 78, 138, 228, 354?\nAnswer: 522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10551*w**3 + 85*w + 2362147 wrt w.\nAnswer: 31653*w**2 + 85","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-1533\nAnswer: -459.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1\/10, 0.1 in ascending order.\nAnswer: -1\/10, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 4:34 PM?\nAnswer: 6:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l + 0 + 0 + (2*l - l + 3*l)*(1 - 3 + 0) + (2 - 3 + 4)*(2*l + 4*l - 4*l + (0 + 2 + 0)*(0*l + 3*l - l) - 2*l + l - l).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 PM and 1:54 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1245 is divided by 1232?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*k**4\/11 - 698*k**3\/11 - 840*k**2 - 28584*k\/11 = 0. What is k?\nAnswer: -6, 0, 397\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -68 + 71. Let w = 453.99 + -454. Which is the nearest to -2? (a) o (b) w (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 g when two letters picked without replacement from gycgyygggy.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 + 8*n - 10. Let q be 264\/10 - (-6)\/10. Suppose 5*y + 4*w - q = 0, -3*y - 4*w + 13 = -0*w. Give b(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 2 = 3*j, -q + 5*j = -54. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -1, 0.087, -1\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z**3 + 273*z**2 + 3063*z - 3333 = 0 for z.\nAnswer: -11, 1, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, p: 10, d: 1, q: 1, j: 3}. Give prob of picking 1 e and 1 q.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 282289976?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -12931, -52598, -118703, -211240, -330203?\n\"Answer: o**3 - 13225*o**2 + o + 292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 60001\/7 - 3477783\/406. Let n = -11\/2 + i. Let f = n + -73\/145. Which is greater: 0.1 or f?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + v = -95, -v = l - 3*l + 47. Calculate the least common multiple of 171 and l.\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -2 - 2 - (609 + -599)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3 + 31297*y**2\/2 + 7824*y.\nAnswer: y*(y + 15648)*(2*y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 40141 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: Suppose 8*f - 474 = 86. Does 56 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - d + 50 = 0, -3*u - d + 2*d - 256 = -331 for u.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -1 - 5. Let v(j) = j**2 + 6*j + 4. Let k be v(q). Sort 3, k, -5 in increasing order.\nAnswer: -5, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158*u + 40 = -167*u - g, 5*g + 28 = -2*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19504\/552 + -36 + -2 + 206\/(-6).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 176992*l**3*y**3 + 23*l**2*y**3 + 2*l**2*y**2 - 10*l*y**3 - 160*y**3 wrt l.\nAnswer: 1061952*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*(16 + 1 - 3). Let z(k) = -9*k**3 - k**2 + 1. Let i be z(1). Let g = i - o. Solve -y = -2*j, 3*j - 4*y = g + 5 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40331924 divided by 6.\nAnswer: 20165962\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -39c04a1 - -2?\nAnswer: -39c049c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 6 = r. Let w(a) = -2*a**3 - 3*a**2 - 4*a + 3. Let v(h) = -3*h**3 - 6*h**2 - 7*h + 5. Let q(z) = r*v(z) + 5*w(z). Determine q(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -221*l + 16 = -441*l + 216*l + 2*k, -12 = 3*l - 3*k for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 676925 and 225?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -4*c**2 + 767*c - 2753. What is i(189)?\nAnswer: -674","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22693 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12563404 by 4.\nAnswer: 3140851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0444 + -29.7444. Let v = -18.7 - t. Put 0.5, 5, 0.3, v in descending order.\nAnswer: v, 5, 0.5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -14.9, -6\/7, -1.75?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 5*f. Let z(v) = -19*v - 2. Let y(d) = -9*l(d) - 2*z(d). Give y(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175*u**3 + 345*u**2 + 535*u + 15 = 0. What is u?\nAnswer: -1, -1\/35, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-4)*o**(1\/7)*(o*(o**(-1\/6)\/o)\/o)\/o*o*o**4)**(-2\/9))**(-1\/45) assuming o is positive.\nAnswer: o**(-43\/8505)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -5*r - 38. Let n be z(-7). Let d = 10 - 14. Which is the closest to -1? (a) -0.3 (b) n (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -10*b - 693. Let v be h(-69). Sort -31, -2, v, -1, 227.\nAnswer: -31, v, -2, -1, 227","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2785*o + 1. Let i be q(1). Let x = i - 16601\/6. What is the common denominator of 28\/5 and x?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*(s**(-1\/2)\/s)\/s*s*s**4*s*s**(-6)*s\/s**3 assuming s is positive.\nAnswer: s**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 1 - 331*t + 1 - 2*t**2 + 338*t + t**2. Let b be c(6). Calculate the greatest common factor of 88 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 114 = 6. Suppose z + z - u = 0. Determine t so that -30*t**5 - 22*t**4 - 60*t**3 - z*t**2 - 47*t**4 + 9*t**5 = 0.\nAnswer: -2, -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/346 (b) 1 (c) 2\/5 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2447480?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.18 and -863.9?\nAnswer: -155.502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15084\/23 + -75328\/115. Factor -6\/5 + 2\/5*g**2 + o*g.\nAnswer: 2*(g - 1)*(g + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/7 and -56\/182121.\nAnswer: 1274847","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-1\/4)\/((o\/(o*o**12*o*o)*o)\/o)*(o*o**3)**(2\/5) assuming o is positive.\nAnswer: o**(307\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u = -8*u - 36. Let o(m) = -72*m - 1 + 37*m + u*m. Determine o(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, 86620 in decreasing order.\nAnswer: 86620, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 9:19 PM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/(-80) + (-21)\/10?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (17 + -7 - 11)*0. Sort 4, -2, p, -5 in increasing order.\nAnswer: -5, -2, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46.3 plus 1012432?\nAnswer: 1012385.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 3*p + 30. Let d(q) = q**3 + 5*q**2 - 8*q - 9. Let r be d(p). Is 3 < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + 9*o**2 - 9*o. Calculate z(7).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of 6*z**7\/7 - 147*z**5\/5 + 1284*z**3 - 2426. Find the third derivative of n(h) wrt h.\nAnswer: 720*h**3 - 3528*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.8 + -0.2. Let j = 4 + -7. What is the closest to g in j, 2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 7) + (-2 - 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-2) - -4)*1. Suppose 2*a - k*a = -15. What is the units digit of a\/(-10) - 42\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 113 - -17. Suppose -4*y + 104 + 152 = 0. Let v = j + y. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 2 = 7. Which is greater: 10\/29 or h?\nAnswer: 10\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 20*u**2 + 11*u - 56. What are the prime factors of y(10)?\nAnswer: 2, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 220002011200 (base 3) in base 8?\nAnswer: 1635570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42, -91, -144, -201, -262, -327?\nAnswer: -396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - h**2 + h + 4. Let x be l(0). What is the lowest common multiple of x\/(-8) - (-17)\/2 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154672 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of -65*c - 73\/15*c**5 + 0 - 2*c**2 + 0*c**4 - 106\/3*c**3. Differentiate y(n) with respect to n.\nAnswer: -584*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/630*-9*24)\/((-21)\/385).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 654*a**5 + 538*a**5 - 3*a**3 - 63*a + 553*a**5 - 7*a**2 + 3*a**3 wrt a.\nAnswer: 104700*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3677 = 10*u - 7073. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + c**2 - c + 72. Let k = -2 - -2. Let g be o(k). Suppose 0 = 361*l - 715*l + 363*l - 81. Calculate the greatest common divisor of l and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1258 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 713 and 253?\nAnswer: 7843","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -193*c + 192*c + 80 = 0. Calculate the lowest common multiple of c and 50.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4*(-4)\/16)\/(-1). Which is greater: -0.2 or s?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/21964 and -89\/340?\nAnswer: 109820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -42 - 10. Let y = -17 - m. Calculate the remainder when y is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13294?\nAnswer: 2, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 677*o**3*u**3 - 49*o**2*u**3 + 29*u**3 wrt o?\nAnswer: 4062*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12036 and 5100.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*i + 10 = -6*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of t**3 - 9*t**2 + 0 + 0*t - 11\/24*t**4. Find the first derivative of p(w) wrt w.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9)\/(-4) - (-1 - -3). Let f = -18 + 20. Find l such that 0*l + 0 - 1\/4*l**f + 0*l**3 + b*l**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-8) - (-1)\/(-4). Let g(o) = 2*o**2 - 8*o + 8. Let u be g(3). Let t(n) = n - 1. Let d(p) = 2*p**2 + 2*p - 2. Determine u*t(l) + x*d(l).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 127837*p**3 + 617299*p wrt p?\nAnswer: 767022*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 2*o + 6 - 20, -16 = -4*r - 4*o. Solve -5*b = -4*c + 6, 5*b - 4*c + r = 2*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -43 + 128\/3. Let j = -0.06 + -0.14. Let t = j + 0. What is the closest to -0.1 in 0.3, t, f?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-2 - (-1 - -5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (18\/15)\/(2\/(-30)). Let y = -10 - b. Suppose -q + 0*q + z + 1 = 0, 3*z = 0. What is the greatest common divisor of q and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8606?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-31536)\/275940)\/((-38)\/(-35)).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3164 - -467?\nAnswer: 3642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = 3*q - 3*d, 3*q - 2*d + 61 = -3. Let c be 3\/q*2*-2. Suppose 8\/3 + c*h**2 + 8\/3*h = 0. What is h?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dde when three letters picked without replacement from epeddpdd?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from arrraarrrradad. What is prob of sequence rrdr?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = -21, -4*q - 724 = -3*i - 746 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1343817?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t + 3. Let v(h) = h**2 - h. Let m be v(-2). Let g(i) = -15 - 4*i + m*i + 30. Let o be g(-5). Calculate u(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6665*d**3 - 2*d - 6168*d**3 - 6564*d**3 + 18360*d**3.\nAnswer: -1037*d**3 - 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of k*o*s**2 + k*o*s + 3*k*o - 604*o*s**2 - 47*o wrt s?\nAnswer: 2*k*o - 1208*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 16 + -581031?\nAnswer: -581016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 4*o - 4. Let i be z(5). Suppose g = i + 11. Calculate the remainder when 52 is divided by g.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z**3 + 75*z**2 + 40*z - 95. Is t(30) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 756, 758, 760, 762, 764?\nAnswer: 766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/343, 1\/8, 50\/3, 5, -2\/9 in increasing order.\nAnswer: -2\/9, -2\/343, 1\/8, 5, 50\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 2)*(3 + 4 - 5)*(74*h**2 - 3168*h - 3171*h + 6341*h - 2).\nAnswer: 148*h**2 + 4*h - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 6:31 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -3*m + 57, 4*m - 22 = t + 19. Let v be 15\/((-4)\/(16\/6)). Let w = v - t. Calculate the highest common factor of w and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*s**2 + 2*s - 2*s**2 + 0*s**2)*(136 - 64 + 133) as z*s + t + j*s**2 and give z.\nAnswer: 410","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, d: 5}. What is prob of sequence xxdx?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3\/5 - 10922*v**2\/5 + 7879648*v\/5 - 1532645128\/5.\nAnswer: 2*(v - 4649)*(v - 406)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -902*c + 25650 = -1852*c for c.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4607 smaller than 4610?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4778373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -422, -421, -420, -419, -418, -417?\n\"Answer: t - 423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 3 = -72. Let c = 31 - p. Suppose 118 = 4*v + c. Is v a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8083843 milliseconds in seconds?\nAnswer: 0.0008083843","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7b (base 14) to base 2.\nAnswer: 1101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -7*z + 102. Let r be p(0). Let j = -103 + r. Is (-3 - (j + 1)) + 160 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 - 2*n**2 + 5*n. Let r(g) = 2*g**2 - 8*g - 2. What is the remainder when r(6) is divided by a(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 4*s**2 - 5*s. Let l(i) = 5*i + 3 - 3 - 4*i. Calculate 4*l(k) + t(k).\nAnswer: 4*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - f - 8 = 0, -7*s + 130*f - 10 = 128*f for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -11 + 8\/(-10)*-5. Let k(g) = g**2 + 8*g + 3. Calculate k(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 153 divide 7433385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/3)\/a**(-4\/7)*a\/a**(3\/4)*a*a*a\/(a\/(a\/a**7*a)))**(-43) assuming a is positive.\nAnswer: a**(5461\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 9}. Give prob of sequence llll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 85*d - 3. Let t(x) = 16830*x - 595. Determine -3*t(y) + 595*w(y).\nAnswer: 85*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -2. Let x = 4 + r. What is the smallest value in -4, 0, x?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 85 + 1067*p - 51 + 2 - 36 to y*p + l and give y.\nAnswer: 1067","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*s**4 + 7*s**4 - 1 - 4*s**3 + 5*s**4 - 6*s**2 - 4*s = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 4*q. Let a(o) = 12*o + 29. Determine a(v(y)).\nAnswer: 48*y + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p + 8953. Let f(k) = k**2 - 65*k. What is f(t(z))?\nAnswer: 4*z**2 + 35682*z + 79574264","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + 59 - (13 + (11 - 7)) - -117?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 7, -60?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of -w**8\/1680 + w**7\/350 - w**6\/600 - w**5\/100 + w**4\/60 - 2*w**2 - 67*w. Suppose z(p) = 0. Calculate p.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -1 - (-20 - -19)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -78, -129, -178, -225, -270?\nAnswer: -313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-224)\/(-14)*1*(-5)\/(-140).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 4*r**2 - r. Calculate the remainder when 6*1\/(5\/60) is divided by k(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 560 and 20053488?\nAnswer: 100267440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15793, 31565, 47335, 63103, 78869?\nAnswer: 94633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k. Let f be w(4). Suppose 0*v - 11*v + 17485 - 17144 = 0. Solve 3*a = -5*i + v, -f*i = -3*a - 15 + 1 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6850111, -6850114, -6850115, -6850114, -6850111?\nAnswer: -6850106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*u**2\/3 - 4220*u + 50560\/3 = 0. What is u?\nAnswer: 4, 2528","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6439458.\nAnswer: 2, 3, 1073243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 94 - -139. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.5 and 90767742598687.\nAnswer: 90767742598687.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 PM and 7:15 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 840?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 58 + -57. Let f = 4 + w. Solve 0*b = f*b + 10 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -5*i**2 + 31*i - 3. Give g(5).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2082337*b + 2082509*b + 15652 for b.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*j - 4*j - 13*j - 4*j to r + k*j and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8 - -5)*(0 + -1). Suppose z*c - 2*c - 179 = 0. List the prime factors of c.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4226306401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 5*y - 1030, -186 = 3*d + 3*y - 1200. Suppose 0*c - c = l - 64, 5*c + d = 5*l. Let t = 102 - l. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of j**5\/10 - j**4\/24 + j**3\/6 + 2*j**2. Let b(d) be the first derivative of u(d). List the prime factors of b(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*o**2 + 16*o**2 + 55*o + 46*o.\nAnswer: 22*o**2 + 101*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c. Let w be 0 + (0 - (3 - 5)). Let s(f) = 2 - f - w. Calculate s(y(g)).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 14.313844.\nAnswer: -42.941532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 3984 = 5*n - n, -2*a + n + 3996 = 0. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 26118 - 41?\nAnswer: 260a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31 - 45. Let z be g\/(-6) - (-2)\/(-6). What is the remainder when 18 is divided by 10\/(-6)*(-12)\/z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 + 6*k**2 + 4. Let g be a(-6). Let q be (-3)\/6*-12 - 2. Suppose q*v = 12 - 0. Solve -g*j + v = -17 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 7:43 PM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20.3*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 933338 is divided by 29.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 602 is divided by 315?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(405) - sqrt(405)) + sqrt(405))*-2 + sqrt(405) - (sqrt(405) - (-2 + -1 + sqrt(405))) - (sqrt(30)\/(sqrt(54)\/(sqrt(9)*2)) + 3 + -5))**2.\nAnswer: 22*sqrt(5) + 606","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 5*h**2 - 7*h - 2. Let u be (11 - 12)\/((-6)\/(-54)*3). Calculate i(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 7:48 PM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 7*v + 33. Let d(q) = -20*q - 100. Let n(z) = -3*d(z) - 8*r(z). Let x be n(18). Suppose -u = -19 - x. What are the prime factors of u?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**2 - 76*i + 6. Let z(g) = -2*g**2 + 77*g - 4. Give 2*x(b) + 3*z(b).\nAnswer: -2*b**2 + 79*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f**4 - 1655*f**3 + 161535*f**2 - 1830125*f - 283449760 = 0. What is f?\nAnswer: -32, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l + 5. Let m be v(-5). Let q be m\/35 - 24\/(-14). What is the second derivative of -c**3 + 2*c**4 + c**3 + q*c wrt c?\nAnswer: 24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(88)\/sqrt(2)*-6*-3)\/(sqrt(64)*-1*4).\nAnswer: -9*sqrt(11)\/8 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28325 - 28323. Let f = 1 - 1. Solve -l + v = -f for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 976 and 856?\nAnswer: 104432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -0*u + 2*v + 28, 0 = u - 5*v - 37. What is the remainder when (-4)\/30 - (0 + (-5168)\/60) is divided by u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 2*w = -w + 8, 4 = 2*w. Let f be (42\/35)\/((-4)\/(-10)). Solve -25 = r*a + f*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -314 in 3, 1\/5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -602, -2721, -6356, -11507, -18174, -26357, -36056?\nAnswer: -47271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.7664182 months in years?\nAnswer: 0.23053485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20726.\nAnswer: 2, 43, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*m + 52. Suppose m*o = 232 + 96. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -9 (b) 2\/25 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11776, -23434, -35092, -46750?\nAnswer: -58408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001383555 rounded to 4 decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.066101 - -0.7?\nAnswer: 0.633899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 156 divide 17898?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 6 = 2*o. Suppose 3*l - 2*l - 2 = m, l + 4*m = 12. Let s be (25\/2 + l)*2. Calculate the greatest common divisor of o and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.293922 and 451365745.\nAnswer: 451365744.706078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81416, -161836, -242256, -322676, -403096?\nAnswer: -483516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*b - 76791 = 39*b - 478014. Does 117 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 206529*c**3 - 20*c**2 - 7117*c wrt c?\nAnswer: 1239174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1002 - -11012011112?\nAnswer: 11012012121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.4, -325.6, 2\/7, 11 in decreasing order.\nAnswer: 11, 1, 2\/7, -0.4, -325.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2542)\/155*20\/8?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 898\/(-22) - (1 + (-4 - -2)). Let w = -2157\/55 - m. Factor -18\/5 + w*z + 3\/5*z**2.\nAnswer: 3*(z - 2)*(z + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rjj when three letters picked without replacement from jrjjr?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 120 = -0*p + 30*u, 4*p + 199*u = 195*u + 68 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {q: 16, t: 2}?\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/7 - 2\/14. List the prime factors of ((t - 2) + 4)*36.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 times 21.3?\nAnswer: 1128.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -494, -1580, -2666, -3752, -4838?\nAnswer: -5924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = -4*i + 52, w - 163*i - 4 = 2*w - 167*i for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2937, 3, 39, 5 in increasing order.\nAnswer: -2937, 3, 5, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z**2 + 25*z - 11. Let i be w(12). Let f be i\/1 - (191000 - -1). What is f rounded to the nearest ten thousand?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 - 8*u - 4. Let m be v(-7). Suppose 3*f = 4*k - 4, k = m*f + 5*k - 28. Solve 3*g = -x + f*g - 9, -3 = -x - 2*g for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0016237289 to six dps.\nAnswer: -0.001624","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -12. Let p be n - (-2)\/4*10. Suppose 0 = -2*f + v + 145, -78 - 8 = -f - p*v. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -992, -991, -990, -989?\n\"Answer: t - 993","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2 rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12.3391601 + -8.639175. Let b = w - 3.7. What is b rounded to 6 dps?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1309*b - 4385 - 33134 = 10914 for b.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -258012 = 3*s - 0*s + 4*d, 172012 = -2*s - 4*d. What is s rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o**2 + 15. Let s(f) be the first derivative of -2*f**2 - 250. Give s(v(c)).\nAnswer: 8*c**2 - 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2417 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 43329, 42843, 42357, 41871, 41385, 40899?\n\"Answer: -486*k + 43815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 77013 and 2140497.\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58\/10*(3 + (0 - -2))?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.06 in 4, -5, -3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2871197 + -54.7170003. Let x = 55 + p. What is x rounded to 4 dps?\nAnswer: -0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h - 2. Let j(l) = -3*l**2 - 5*l - 39. Determine 5*i(s) - j(s).\nAnswer: 3*s**2 + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 254 is divided by 31?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-73)\/((-5)\/(3015\/(-3204))). Let b = d - -55\/4. Which is greater: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4929, 4930, 4931, 4932, 4933?\nAnswer: 4934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of 7*t**3\/6 + 7*t**2 + 3*t. Is v(7) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 383424 and 388.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 - 15. Let f(m) = -5*m + 7. Determine f(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 343.4791m to micrometers.\nAnswer: 343479100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 53401786 to the nearest integer?\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of -l**8\/896 - l**7\/140 + l**6\/160 + l**5\/20 - l**4\/64 - l**3\/4 - l**2 + 60. Let s(c) = 0. Calculate c.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a decade in months?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60489 and 55.\nAnswer: 302445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*h + 34 = 4 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14.773 - -10.08. Let z = -0.273 - a. What is z rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 3*w - 5. Suppose -4*x + i = -55, -2*x - w*i = -15 - 18. Is 13 < x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2.2 and -62215994.\nAnswer: -62215996.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -425 = -22*a - 63*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*b + 40*b = -2*g + 1531, 0 = 2*b + 2*g - 3060. Does 20 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of r**4\/4 + 20*r**3\/3 - 35*r**2 - 16*r - 202. Let d be j(-23). Which is the smallest value? (a) -4 (b) d (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 360\/(-480)*-8*(-2)\/20\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20604300 is divided by 2564.\nAnswer: 2560","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 18090, 70104, 156794, 278160?\n\"Answer: 17338*l**2 + 752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4992 + 20037\/4. What is the common denominator of x and 43\/7270?\nAnswer: 14540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00024547251 rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 181085556493 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -67 + 72.4. Let o = 5 - u. Let y = -0.4 - o. Which is the nearest to 0? (a) 3 (b) y (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 0*r + 3*r - 9 = 0, 4*v + 4*r + 4 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of f**4\/4 + 4*f**3\/3 - f**2\/2 + 2*f + 3. Let q be b(-4). Solve -3*l = -l + q for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(sqrt(24)\/(sqrt(30)\/sqrt(5)) + sqrt(4) - sqrt(4)) + 1*sqrt(21)\/(1*sqrt(7)) + 0.\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(23\/((-69)\/4))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 + 6*g. Let b be a(8). Let u(i) = 2*i + 36. Does 3 divide u(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + 19. Suppose 3*m - 4*i - 23 = -5*i, 0 = m - 2*i + 4. Which is bigger: m or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1\/8 (b) 4\/3 (c) 0.3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -52.3 to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1492334489 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 40\/4*55\/2. Suppose 1287*h = 1201*h + 2150. What is the highest common divisor of h and y?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1))**(-43)*b**1\/(b**(-3)*b) assuming b is positive.\nAnswer: b**46","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**19\/i*i\/(i*i**32)*(i*i**(4\/31)*i)\/(i**(3\/22)*i*i))**(4\/7) assuming i is positive.\nAnswer: i**(-17742\/2387)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 19, -208, -623, -1232, -2041, -3056, -4283, -5728?\n\"Answer: -t**3 - 88*t**2 + 44*t + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 + -20. Suppose -5*z - 6 = -4*m + 16, -3*z + 9 = 5*m. What are the prime factors of 165\/y + (-1)\/m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/13)\/((m*m*((m*m**(-2\/73))\/m)\/m*m)\/m))**40)**(-1\/8) assuming m is positive.\nAnswer: m**(3885\/949)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -5*l + 4*q, 349*q + 6 = 3*l + 355*q for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -497, 4, 1, -0.05?\nAnswer: -497","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12\/5*m**2 + 3*m + 3\/5*m**3 + 6\/5.\nAnswer: 3*(m + 1)**2*(m + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -366 - -361. What is the units digit of (-1*8\/v)\/(14\/455)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 693 and 22253?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*b*i**2*t - 2*b*i**2 + 60*b*k*t + b*t - 41*i**2*k*t - 5*i*k*t - i*k - 2*k*t - t wrt b?\nAnswer: 4*i**2*t - 2*i**2 + 60*k*t + t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 48 + -51. Which is the biggest value? (a) -0.4 (b) 10 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, 11, 34, 63?\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -8 - 4 - 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 106, 355, 838, 1633, 2818?\nAnswer: 4471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 98 (b) 37 (c) 178\/91 (d) -0.4 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 24 and 19.\nAnswer: 456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 328530653917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 3*q - 1. Let r(z) = -z**2 - 23*z + 7. Let b(k) = 6*g(k) + r(k). Let h be (0 - (-18)\/(-21))*7. Determine b(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/25761 and 29\/21129.\nAnswer: 181434723","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 take away -0.213?\nAnswer: -109.787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -15, -252, -6760, 0, 1 in decreasing order.\nAnswer: 1, 0, -1, -15, -252, -6760","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/1690 and -181\/70980.\nAnswer: 70980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44129 + 44095 = 4*i + 2*a, 0 = 13*i + a + 105 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/89 in -4, -1\/3, -0.6, 681, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.782884 kilometers to centimeters.\nAnswer: 578288.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 34021 + 711?\nAnswer: 34732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, m: 2, r: 1, q: 1}. Give prob of picking 1 q, 1 r, and 2 m.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/42*(-1 - -3). Sort -0.3, n, 0.5 in ascending order.\nAnswer: -0.3, n, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 35, 82, -1\/35, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1547 and 91.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1358885 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 56783*c**2*q + 151097*q wrt c?\nAnswer: 113566*c*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 b when two letters picked without replacement from bbbbubbbbbbb.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 9*p**3 - 2*p**2 + 30*p. Let u(k) = k**2 + 199 - k**3 - 199. Let w(r) = a(r) + 5*u(r). Find the second derivative of w(m) wrt m.\nAnswer: 24*m + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 5*b = -10*b + 5914, -3*d = 2*b - 5917. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 + 0)*(-c + c + 2*c + (5*c + 28 - 28)*(2 - 1 + 0)).\nAnswer: 28*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/u**5*u*u)\/u*u*u\/(u*u**(2\/21)*u))\/(u**7\/(u*(u*u**(1\/5))\/u)) assuming u is positive.\nAnswer: u**(-829\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20953 and 104765?\nAnswer: 104765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of -j**5\/60 + 5*j**4\/24 - 5*j**3\/6 + 62*j**2. Suppose 3*r - 17 = -q, 5*r + 3*q = 20 + 7. Let u be 2*r\/(-9)*-3. Calculate w(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -7?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of -u**7\/2520 + u**6\/180 + u**5\/40 + 5*u**4\/4 + 14*u. Let r(c) be the third derivative of s(c). Determine r(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 77*o + 50*o + 13*o + 11 - 36*o to the form b*o + p and give p.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 2:59 PM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 3*m**5 + 968*m**4 + 96377*m**3 + 2949336*m**2 + 23322460*m + 14265856 = 0.\nAnswer: -149, -128, -34, -11, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 4 - 4)*(2*h - 4*h + 4*h - 1 + 1 - 2*h + (-3*h + h + 0*h)*(2 + 3 - 3) - 2*h + 2*h + 2*h) in the form d + q*h and give q.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1210939 to the power of 1\/3, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d + 11*d + 75*d + 125*d + 154*d.\nAnswer: 371*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15042 and 158388990.\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -1, 0.4, 0, 24\/17, -26\/11?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2\/5 - 89796*k\/5 - 671943468\/5.\nAnswer: -3*(k + 14966)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 360026734?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -878393, -1756830, -2635265, -3513698, -4392129?\nAnswer: -5270558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -34*w**2 - 61*w + 5. Let f(a) = -16*a**2 - 30*a + 3. Give -9*f(q) + 4*g(q).\nAnswer: 8*q**2 + 26*q - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6444.6129 microseconds to hours.\nAnswer: 0.00000179017025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 308052?\nAnswer: 2, 3, 43, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 577415.8092 take away 0?\nAnswer: 577415.8092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2465\/6 - 411. What is the smallest value in -2.1, l, 2\/5?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 21\/5 of a minute?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*w**3 + 39*w**3 + 24*w**3 - 109*w**3.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 871*v**5 - 8*v**4 + 13455*v?\nAnswer: 17420*v**3 - 96*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -101 + 101. Let o(c) be the first derivative of t*c - 4\/3*c**3 - 4 + 2*c**2. Find the second derivative of o(a) wrt a.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 3. Let u(r) = 7 + 0*r - r**2 + 14*r**2 - r**m + 6*r. Is u(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -43\/3, 1\/32, 1\/6?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/50 of a kilogram?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -12282 divided by 69\nAnswer: -178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -17527953 take away 3.485?\nAnswer: -17527956.485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -193567 or -193801?\nAnswer: -193567","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/18 - 8\/(-84). Let o = 27\/185 - -2\/37. Which is the smallest value? (a) o (b) d (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -76\/663 - -2\/13. Let x = -5\/306 - c. Find the common denominator of x and (-33)\/(-8)*(-12 + (-890)\/(-75)).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/3 - (2 + -2). Suppose 0 = 2*s - 2*p, 4*p + 15 = s + 6*p. Let a = s + -47\/9. What is the closest to w in -0.3, a, -0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**4 - g**2 - g + 1. Let n(p) = -18*p**4 + 5*p**2 + 7*p - 5. Let v(f) = n(f) + 5*r(f). Find the second derivative of v(m) wrt m.\nAnswer: -156*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + (4 + 2 + -10 - -9).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4*s = -0*r + 12, 0 = 2*r + 3*s - 5. Suppose m = -r*m - 35. Let d(o) = -7*o**2 + 9 - 21*o + 22*o - 296*o**3 + 295*o**3. Calculate d(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (-13 - 0) + (-34 - (-92 + 13))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*117\/(-390)*45*1.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g**5 + 300*g**4 + 575*g**3 - 300*g**2 - 580*g = 0. Calculate g.\nAnswer: -58, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 6*t**2 - t. Suppose -54*s - 12 = -58*s. Let h(c) = -7*c**2 + c. Let a(k) = 9*k + 4. Let y be a(0). Calculate s*h(v) + y*o(v).\nAnswer: 3*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 4900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mp when two letters picked without replacement from {p: 5, m: 14}.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 25 and -29.55598.\nAnswer: -738.8995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 378*j + 1. Is h(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 38*o**2 - 3*o - 4. Let w be x(3). Let d = 205 + w. Suppose -d = 3*v - 2457. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -11*c - 9. What are the prime factors of r(-6)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 76 - 273788?\nAnswer: -273712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 21 = -87. Suppose -y + 10 = -d. Is y a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, 0.5, 0.08, 4\/53643, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15202817 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4574918054 a multiple of 9422?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49 + 102 + 161*s - 53 + 63*s.\nAnswer: 224*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**13\/u**(-2\/3))**(-4\/17) assuming u is positive.\nAnswer: u**(-164\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5\/3)\/(4 - (-44)\/(-12)). Suppose f = -h*z + 282, 4*f + 267 = 5*f + 2*z. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-z - 2*z - z)*(8 + 3 + 0) to n + x*z and give x.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3712961?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 2. Let w = o - -1. Let m(l) = -w*l + 2*l - l. Let v(u) = -2*u. What is m(v(r))?\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*v + 20 - 75. Suppose -49 = -3*z - g, -40 = v*z - 3*g - 145. Calculate the least common multiple of z and 153.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 - 5*s - 4. Let v be z(6). Suppose 8*r + r**v - 2*r - 4 + r**2 - 4*r = 0. Calculate r.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -7*h**2 - 2*h + 15. Let m(q) = 4*q**2 + q - 8. Let t(x) = 3*c(x) + 5*m(x). Calculate t(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-25))**20)**13 assuming k is positive.\nAnswer: k**(-6500)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 4.41 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -331101.556 to the nearest 10.\nAnswer: -331100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and 4863.\nAnswer: 4863","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 77\/(-22)*(11 - 1). Let s(r) = 9*r. Suppose -3*l - 255 = -5*w, 0*l + 275 = 5*w + l. Let v(k) = w*k - 41*k + 67*k. Determine c*s(i) + 4*v(i).\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/(3 - 0) + 2. Suppose -1 + 1 = -d*c. Let l(q) = q**3 + 2*q**2 + 40. Is l(c) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -375*t - 1784*t + 72*t as l + i*t and give i.\nAnswer: -2087","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -5*c - 17. Let q be m(-5). Let i(r) = r - 7. Let j be i(q). Let g(v) = 64*v**2 - 1. What is the units digit of g(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-12) + 60\/(-8) - -4 - 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-46)\/(-13) + (-66)\/(-143)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9075 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10 + -20?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54490520*w**2 - 567*w + 567*w - 54490556*w**2.\nAnswer: -36*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 113.5, 3, -4, -5\/4?\nAnswer: 113.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21678082*k**4 + 34145*k**2 - k - 27 wrt k.\nAnswer: 520273968*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + g + 0)*(4*g**3 - 3896*g + 7*g**2 - 3*g**3 + 3893*g).\nAnswer: g**4 + 7*g**3 - 3*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -92b29 (base 12) to base 16\nAnswer: -2ecd1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 1270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from emcee. Give prob of sequence ecm.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l\/(l\/(l\/(l**(-2)\/l)))*l))**8)**(-2\/87) assuming l is positive.\nAnswer: l**(80\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1332\/(-111)*(-21)\/(-56)*-4\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24*20\/1040*-39?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 282\/23 or 11?\nAnswer: 282\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/25 of a week?\nAnswer: 72576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2287*k**2 - 2208*k**2 + 4497*k**2.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 3*sqrt(153)\/sqrt(9)*-5*-5.\nAnswer: -3 + 75*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of -q**5\/270 + 17*q**4\/54 - 64*q**3\/27 - 5*q**2 + 4*q. Factor p(m).\nAnswer: -2*(m - 32)*(m - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 PM and 11:55 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 b when three letters picked without replacement from hhhehybhhyqhqheerbr?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 5*y - 3 = 0, -34*z - 66 = -19*z - 18*z - 25*y for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20878?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 333, 684, 1035?\nAnswer: 1386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56750 to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4157 divided by 8.\nAnswer: -4157\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4153 and 91520.\nAnswer: 380082560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 351848002?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2 - 84532*h - 223609200.\nAnswer: -4*(h + 3100)*(h + 18033)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - 11*p**2 + 3. Let r be q(11). Let l be (-4)\/6 + 14\/r. Find the first derivative of 0*u**4 - 1 - 3*u**l + 4 + 0*u**4 wrt u.\nAnswer: -12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 424, 466, 510, 556, 604, 654?\nAnswer: 706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (18 - -67) + (-2)\/(-2). Let f = -86 + h. Suppose -s - 4*s + 955 = f. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**3 - 26*r**2 - 124*r - 1199. Give h(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.043 in -1, -304, -0.1, -2\/19?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 164 and 9512.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 1 - u**2 + 4*u**2 - 3*u**3 + 4*u**3 - 4*u**2. Let r(j) = -5*j**3 + 6*j**2 - 4. Determine -6*p(k) - r(k).\nAnswer: -k**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/16 and ((-5)\/(-225))\/(2\/85)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13670*u - 3516*u**3 + 3549*u**3 - 13670*u.\nAnswer: 33*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1555?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.8 in 5, -0.057, -0.2, 2\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + 1. Let n be x(-3). Let k = -20 + n. Solve 3*y + 4*v + 11 = 8*y, -v = 4*y + k for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + 5*i**2 + 6*i + 5. Let w be u(6). Let a be -15*(-1 - (-2)\/3). Let z = 58 + -53. Solve -a*s - 30 = w*r, 0 = -s + z*s - r + 19 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -263? (a) 0.4 (b) 101 (c) 61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - 5*w. Let a(q) = -3*q**2 + q. Let o be a(-1). Suppose -x = 4*x - 45. What is the smallest common multiple of c(o) and x?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -17*b**2 + 3*b + 6. Let a(c) = 6*c**2 - c - 2. Calculate 8*a(i) + 3*d(i).\nAnswer: -3*i**2 + i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13396*l**5 + 39*l**2 + 5*l + 15.\nAnswer: 803760*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 5*d + 24 = 0, -2*h - 3*d + 27 = h. Let s(w) = 3*w - 4. Let j(n) = -10*n + 13. Let a(t) = 2*j(t) + 7*s(t). What is the units digit of a(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 225 - 3?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three tenths of a week?\nAnswer: 3024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -b (base 14) in base 10?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -213 (base 7) to base 6\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 6*r + 31. Let a(x) = 3*x + 29. Calculate -3*a(y) + 2*k(y).\nAnswer: 3*y - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38644, -38662, -38714, -38818, -38992, -39254, -39622?\nAnswer: -40114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/9 + 208*g\/9 - 214\/3.\nAnswer: 2*(g - 3)*(g + 107)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -100 + 108. Suppose -5*i - 5*v - 16 = -2*i, -5*v + 33 = -4*i. Which is bigger: i or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -53, -88, -125, -164?\nAnswer: -205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + q + q)*((2*q + q - q)*(3 - 1 - 3) + q - 6*q + 2*q)*(-9 - 5 - 9 + 6 + 0 + 1 + (-1 - 3 + 3)*(2 - 1 + 0)).\nAnswer: 255*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 42 + -f95?\nAnswer: -f53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14510 or 1842876\/127?\nAnswer: 1842876\/127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/7372230 and 79\/7372230?\nAnswer: 7372230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 37437450 to the power of 1\/2, to the nearest integer?\nAnswer: 6119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 317 + 283 = 8*x. Calculate the remainder when x is divided by 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243199534 rounded to the nearest 10000?\nAnswer: 243200000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of 25\/3*h**3 + 10 + 0*h + 5*h**2 - 15\/4*h**4. Factor z(v).\nAnswer: -5*v*(v - 2)*(3*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - 4. Let g(d) = -30*d - 75. Let b(a) = 6*a + 15. Let m(n) = 11*b(n) + 2*g(n). Is m(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 5 = 0, 4*u - 2*z - 127 - 107 = 0. Solve 14*f - u = 12 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (191*(1 + 0))\/1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -3*y**2 - 35400*y - 104430000 = 0.\nAnswer: -5900","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 209639?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 5*p + 5, 2*w + p - 4 = 3*p. Let n be w*3*(-6)\/(-45). Suppose -15 = 5*o, 5*a - n = -2*o + 22. Solve -25 = f - a*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57363, 57657, 57951, 58245, 58539?\nAnswer: 58833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 3*g - 36 = 0, -4*h + h + g + 14 = 0. Let t be 8 - (h - (5 + -3) - 4). Solve t - 9 = -i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -53 - -47. Let r be 12\/(a\/(-16)*2). Solve 2*d - 20 = -3*d - 3*n, 0 = -4*d - 4*n + r for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, m: 5, w: 2}. Give prob of picking 3 i and 1 w.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 213321.\nAnswer: 3, 211, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 3. Let b be (-2)\/(-2) - (-1)\/s. Let j(n) = n + 2. Let r be j(-7). Put r, 1, b in increasing order.\nAnswer: r, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112568.07ns to minutes.\nAnswer: 0.0000018761345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + l = 1, 58*l - 1427 + 1369 = q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1651 a factor of 58739278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 46.39158 to the nearest integer.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1669 - 10.8969. What is m rounded to 0 dps?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 4*p - 7780, -3*p - 7*p + 2*m + 19450 = 0. Calculate the remainder when p is divided by 139.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, -3, -2, -31 in increasing order.\nAnswer: -31, -4, -3, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 394*p**2 + 275*p?\nAnswer: 788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5467249, -5467346, -5467443, -5467540, -5467637?\n\"Answer: -97*l - 5467152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 - 16. Is (28\/(-42))\/(x\/(-546)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 18*a**3 - a**2 + 4*a - 5. Let u(f) = f. Let y be u(3). Suppose y*g - 8 = -g. Is j(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 3786*p**3 - p**2 + 229*p - 227. What is the tens digit of h(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40)\/(-75))\/(672\/560).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2630154 or -31?\nAnswer: 2630154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 16538941 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3 = 2*v. Suppose 0 = -4*k + 20, -3*w + v*k + 69 = -2*w. Let j(s) = -s**2 + 11*s - 4. Let c be j(9). Calculate the highest common factor of c and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2000 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 26348 divided by -1?\nAnswer: -26348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.18 - 4.82. Sort 0.2, 0.1, q in increasing order.\nAnswer: q, 0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 483 divided by 161?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from bbxbbbx?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.99 + 1.98999618. Round g to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*z - 77 - 29 - 14 = 0. Solve b = 3*s - 30 + 9, -31 = -z*s + b for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, 102\/5, 17, 3\/7 in ascending order.\nAnswer: 3\/7, 2, 5, 17, 102\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -5*w**4 + 16465*w**3 + 20*w**2 - 65860*w = 0?\nAnswer: -2, 0, 2, 3293","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -18652496 to the nearest 1000000.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 6*w + 8*w - 10, 0 = -u + 4*w + 2. What is the smallest common multiple of u and 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*n + 3*n + 4*j - 24, n - 12 = -5*j for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 5. Let m be (-52 - 2)*i\/(-4). Calculate the greatest common factor of 3 and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 - 16*w + 23. Let b be v(17). Calculate the highest common factor of 10 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*a**2 - 17*a**2 + 7*a**3 - 18*a**2 - 15*a**2.\nAnswer: 7*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/12 - ((-152)\/672*-26 + -7)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3\/6 + 2*x\/3.\nAnswer: -x*(x - 2)*(x + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 3706?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q - 1. Let p be j(4). Suppose 13 - p = 5*w. What is the second derivative of 0*d**2 + 2*d**3 + 0*d**w - 2*d - 3*d**3 wrt d?\nAnswer: -6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 125628 and 472.\nAnswer: 14824104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.885 and -0.96.\nAnswer: 0.8496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4016827927?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - x**2 + x. Let h be w(0). Let m be -1 + 6 + (h - 1). Sort m, -2, 8 in increasing order.\nAnswer: -2, m, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 135742940 and 0.5.\nAnswer: 67871470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 16) to base 7\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5360 = 4*d - 14*r + 13*r, 3*r - 4005 = -3*d. What are the prime factors of d?\nAnswer: 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 4*b + 1 = b, -9 = -3*o + 3*b. Suppose o = 2*c + g, 6 = 5*c - 5*g + 1. Solve -3*t + t = -4*p - 14, -p = 4*t - c for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -315*l - 550*l + 86*l - 775*l as f*l + m and give f.\nAnswer: -1554","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -5*g**3 - 2*g**2 - g. Let v be d(-2). Suppose -3*l + 4*h + 61 = 8, -2*l + v = -2*h. Calculate the remainder when 26 is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 189 and 5817.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b - 4*b - 4*b + 3*b + b**3 wrt b.\nAnswer: 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 186*j**2 - 1. Let f(c) = 53*c. Give f(d(a)).\nAnswer: 9858*a**2 - 53","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 - 8*k - 7. Let c be g(-6). Let j be 5\/15 - (-22)\/6. Solve -c*z - 11 = 4*d, -j*z = 5*d - 4*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 6*b - 3. Let i be l(2). Let g be -2 + 1014\/130 + 1\/5. Suppose -g*j + 15690 = i*j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/1*(-3)\/114. Let d = 31\/76 - m. Which is the closest to d? (a) -4 (b) 3\/5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19610 - -27953. Let z be 2\/(-7) - y\/(-21). Suppose -4*u + v = -318, -81 = 4*u - 2*v - z. Calculate the highest common factor of 16 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 6121*z + 6109*z + 1 + (4*z - 4*z + 2*z)*(0 - 4 + 5) + 2*z - 2*z + 2*z - 2*z + 1 - 1.\nAnswer: -10*z - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + 22*y - 20. Suppose 0 = 6*h - 116 + 14. What is the units digit of z(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 192882 and 204.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -7.9, 2\/9, 28\/25 in increasing order.\nAnswer: -7.9, -1\/2, 2\/9, 28\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.5, 63969\/22, -0.1, -0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2272, 5, 2 in ascending order.\nAnswer: 2, 5, 2272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 15, -2, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -3.5 (c) 34425 (d) 0 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 12 = -2*h, 0 = 4*h + 1393*g - 1389*g + 36 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*d + 169*d - 41*d - 68*d - 293*d**2 to i*d + v + l*d**2 and give i.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 729 - 549. Calculate the remainder when y is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-545 - -569) + 0 + -2.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 25 - -10353?\nAnswer: 10422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 - (-7 + 2 + -3). Suppose 11 = q + 3. Suppose -3*j - 9 = s + 2*s, -v*j = 2*s + q. Which is the second smallest value? (a) 0.5 (b) s (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1715188.\nAnswer: 2, 428797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h - 2*h + 0*h)*(4 + 5*h**2 - 4)*(-2*h + h - 2*h).\nAnswer: 30*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 801941?\nAnswer: 7, 17, 23, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 68\/51*6\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 10, 28, 66, 130, 226, 360?\nAnswer: 538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 - 5*v + 4. Let r be b(3). Let y be (-4)\/8 + 1\/r. Let k be (0 - 0)\/((-1)\/y). Round k to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*r - 28*r - 22*r + 14*r.\nAnswer: -41*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -11*v + 1. Let p(s) = -21*s + 1. Give -4*p(k) + 7*x(k).\nAnswer: 7*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 - c - 1. Let f(v) = -11 + v + 3*v**2 - 9*v - 2*v. Let i(q) = f(q) - 4*z(q). Suppose -4*b + 2*t + 0*t = 18, 2*b = 4*t - 6. Determine i(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55682488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 217 and 217.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, -24, 17, 116, 297?\nAnswer: 584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1078 + -629. Let q = 711 - u. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -426*r - 4221. Let v be x(-10). Solve 30*n - 45 = v*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6170\/12407 + 256\/653. Let g = -4 - 11. Which is the second smallest value? (a) g (b) z (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2. Let m(n) = 11942*n**2 + 5*n. Let b(s) = 5951*s**2 + 2*s. Let u(r) = -5*b(r) + 2*m(r). Calculate u(w(i)).\nAnswer: -5871*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 19, -5, 2, -77 in descending order.\nAnswer: 19, 2, 1, -5, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 672*b. Let a(d) = d**2. What is n(a(t))?\nAnswer: 672*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23071 - 23021. Calculate the greatest common divisor of 8650 and y.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 243\/1900 + 3\/100. Find the common denominator of u and ((-3968)\/(-504) - 6) + (10\/105)\/(-1).\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of 5*s**3\/3 + 13*s**2\/2 + s - 4. Let t(d) = 15*d + 20. Let w(g) = -8*i(g) + 5*t(g). Give w(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 763 is divided by ((-3012)\/(-3))\/((-92)\/(-23)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-16)\/(-6) + -1 + 12\/9. Let i be (-11)\/(-22) - 9\/(-2). Sort 0, -1, i, o in descending order.\nAnswer: i, o, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/v**(-14))\/(v\/v**(-31)) assuming v is positive.\nAnswer: v**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 - 12*r + 29. Let u be h(-14). Let c be 107\/u*(-14 + 13). Let n = c - -112. Solve 4*d = 5*v + 17, 4*d - 4 = d - n*v for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -132 (base 12) to base 8.\nAnswer: -266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 296*h = 309*h + 127 + 263. Are h and -924\/31 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/5 and 33\/995?\nAnswer: 995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + -88 - -52 - (-24 + -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8665 + -1958267\/226. What is the common denominator of b and -37\/4?\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5998.\nAnswer: 2, 2999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 4:39 PM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1901804?\nAnswer: 2, 43, 11057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160 + 0*f - 158 + f - 639*f**3.\nAnswer: -639*f**3 + f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/2, 55330, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.003 rounded to 0 decimal places?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-96)\/(-72))\/(8\/18). Suppose 5*i - 32 = -4*y, j*i + y - 19 = -i. Let r(u) = u**3 - 4*u**2 + u + 1. Calculate r(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1566 divided by -261?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -64533755 (base 8) to base 11\nAnswer: -7882433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 911*d - 1959*d - 11760*d - 3549*d.\nAnswer: -16357*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of c**4\/28 - c**3\/21 - c**2\/7 + 80. Factor z(o).\nAnswer: o*(o - 2)*(o + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 + 12*n + 3. Let b be t(16). Let a = -40 - b. Calculate the lowest common multiple of a and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1573, 0.2, 89, 3?\nAnswer: 89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 15714873 to the nearest one million.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 0*j + 3 - 1 - j + 2*j. Let s(a) = a**2 - a - 2. Let t be s(0). Determine i(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 570 divided by -4.\nAnswer: -285\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135510?\nAnswer: 2, 3, 5, 4517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-26)\/(-39))\/(110\/264*-1)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 4*a**2 - 149*a + 91. Let j be (6\/(-6) + 0)\/1 + 38. Let v be s(j). Calculate the highest common factor of 4 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 + 13*y - 7. Let q be h(12). Suppose 237 = q*z - 58. What are the prime factors of z?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*p**3 - p**3 + 44 + 42 - 85 + 4*p**2 to the form v + y*p**3 + z*p + b*p**2 and give y.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 241 is divided by 155.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 4 + sqrt(5)*-3.\nAnswer: -3*sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/(-150))\/(2\/16).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -146\/413 - -4\/59. Put 0.13, z, 0.5 in descending order.\nAnswer: 0.5, 0.13, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - g = 0. Suppose 2*t - 3*z - 13 = 0, t + g*z - 9 = 2*z. What is the second biggest value in t, 2\/5, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y + 1. Suppose -2*n - 16 = 2*n. Let x(c) = 5*c - 4. Let w(m) = n*f(m) - x(m). Let s(k) = 6*k. Determine s(w(a)).\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 257 is divided by 24.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 12:34 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 284 (base 14) in base 5?\nAnswer: 4013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, -0.5, -0.6, 92\/353?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 + 1 + 13 + -9 + 27 + 20 + -48.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 110 + -93. Suppose 12*d = i*d - 120. What is the remainder when 165 is divided by d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p - 1. Let r be g(-3). Suppose -7 = v - r*u, -2*u + 3 = -5*v - 0. Let h = v + -3. Is h at most as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of h*p**3*q + h*p**3 - h*p**2 + h*q - 89*p**3*q + 210*p**2 wrt p?\nAnswer: 6*h*q + 6*h - 534*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 19\/4 of a tonne?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of -g**3\/3 + 5*g**2\/2 - 2. Let m be w(5). Let l be (-6)\/(-2)*2\/24. Which is greater: m or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 9, -1\/5, -21, 1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iaiaaaiiaiaaiaiaaii. Give prob of sequence iaai.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 252\/2100*(-500)\/(-60)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 107, 106, 105, 104, 103?\n\"Answer: -u + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i + 4. Let z be c(-2). Suppose 3*w - 9 = -z*a, 3 = -4*a + 4*w + 11. What is the units digit of (-6 + a)*(1 + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - i**2 - i + 64. Let j be t(0). Suppose -k = -5*k + j. Calculate the remainder when 47 is divided by k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 636119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4*(2 + (-12)\/8). Suppose 0 = -5*p - 5*r, 0 = -r + 6 - 2. Put p, j, -6 in ascending order.\nAnswer: -6, p, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 640.4354 weeks in microseconds?\nAnswer: 387335329920000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*a - 16. Let c = a - -7. Find o, given that 2\/5*o**c - 2\/5 - 2\/5*o + 2\/5*o**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.14 (b) 20\/21 (c) 5 (d) 59\/2 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 36*b**2. Let y(d) = -4 - 916*d + 3 + 1 + 819*d. What is o(y(u))?\nAnswer: 338724*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*s + 16 = -61*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7858 - 7838. Solve 67*x = m*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -26, -54, -82, -110, -138, -166?\n\"Answer: -28*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (55 + 12 - 83) + (-3 - 104) + -8 + 6.\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -64 + 58. Let c(m) be the second derivative of m**4\/2 - m**3 - 5*m**2\/2 + 2*m. Is c(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 3*q + 7*q + q**2 - 15*q. Calculate l(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 9:46 PM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1745 + 786 + 1717 - 48 = 75*b for b.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.0828 * 51\nAnswer: 4.2228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5)*-3 + -3)**2 - (3*sqrt(55))\/sqrt(11).\nAnswer: 15*sqrt(5) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 8, h: 5, l: 2, t: 4}. Give prob of picking 1 g, 1 t, and 1 h.\nAnswer: 160\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 232900 to the power of 1\/3, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/((-47)\/(-8836)*94).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 - o**2 - o + 15. Let k be u(0). Suppose -5*n = -2*v - 15, -v - k = 2*v. Suppose n = -t + 4. What is the closest to 1 in -5, t, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-114 - 47 - 170 - 35)*(-2*m**2 + m**2 + 3*m**2).\nAnswer: -732*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1024703927?\nAnswer: 13, 78823379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3696*l**3 + 3698*l**3 - 33*l - 5*l.\nAnswer: 2*l**3 - 38*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*x + 408 - 134 = -49*x - 46 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 3:59 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 31142077 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-18)\/(-4))\/(264\/352)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 5*y = -1405, 2*y + 1052 = 9*n - 6*n. Suppose -2*s - n = -2*f, -s + 555 = 3*f + 2*s. Does 20 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3454 and 704.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -274663 (base 12) to base 6.\nAnswer: -21540203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -42906*c**3 - 2*c + 42936 wrt c?\nAnswer: -257436*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1060400610 - -20?\nAnswer: 1060400630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 400 - 14*c + 64*c - 47*c to the form y + m*c and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -23005, -23498, -24319, -25468, -26945?\n\"Answer: -164*x**2 - x - 22840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p + 11. Let h(s) = 3*s**3 + s**2 + s. Let b be h(-1). Let x be (-12)\/b - (-4 + 8). Calculate j(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2938*x**2 - 5895*x**2 + 2947*x**2. Let s(z) = z**2 + 7*z + 1. Let c be s(-7). Let r(v) = -2*v - c + 1. Calculate d(r(u)).\nAnswer: -40*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of -a**6\/15 - 19*a**5\/10 - 609*a**2\/2 + 264*a. Differentiate q(n) with respect to n.\nAnswer: -8*n**3 - 114*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 31c2c0 - -b?\nAnswer: 31c2cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 4*y**2 - 8*y - 1. Let w be f(3). Suppose -w*p - 1926 = -716. Let l = 110 + p. Solve -5*q + l = 10 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 2) to base 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.8 (b) 2\/21 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1119852 is divided by 5287.\nAnswer: 4295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17985 and 47960.\nAnswer: 143880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3300)\/2200*((-22)\/27 + 14\/(-63)).\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.61 times 0.2\nAnswer: -0.122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 4470957 to the nearest 1000.\nAnswer: 4471000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 128 and 544.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, -0.2, -15, -11, 1 in descending order.\nAnswer: 3, 1, -0.2, -5, -11, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 111\/176 + -13\/16. Let s = 0.4 + 0.5. Let x = -0.7 + s. Which is the third biggest value? (a) x (b) t (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - 74*l**2 + 148*l + 142. Calculate p(72).\nAnswer: 430","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000046647 rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p - 8. Let w be a(5). Let r be ((-28)\/42)\/(1\/w). Solve -2*o = -3*o + r for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1)\/(u*u**(-3\/5)\/u))**(-9\/2) assuming u is positive.\nAnswer: u**(9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 51820 + 7?\nAnswer: 51827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16884 and 900?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 87306526?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 8) to base 13\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 4110*w**2 - 2953*w - 4. Let k(j) = 4108*j**2 - 2953*j - 5. Let u(q) = 5*h(q) - 4*k(q). Find the second derivative of u(x) wrt x.\nAnswer: 8236","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 15*o**3 - 3*o**2 + 6*o - 4. Let j(k) = 74*k**3 - 15*k**2 + 31*k - 21. Let f(v) = -2*j(v) + 11*t(v). List the prime factors of f(2).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 289636 is divided by 3920?\nAnswer: 3476","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of -40 + 0*i**2 + 1\/3*i**3 + 18*i. Let x(u) be the first derivative of p(u). Let r(n) = -4*n**2. Calculate x(r(h)).\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-153)\/612*4*((-11)\/2)\/(-1)\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11739?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -94673, -188721, -282139, -374927, -467085, -558613, -649511?\nAnswer: -739779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1812 + -1318. Let i be (18\/12)\/(2\/4). Suppose 3*a = -4*g + 720, -2*a - i*g = -5*g - l. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 200 (base 4) to base 13\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 189 by 63.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -319\/6 <= -53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, g: 1, k: 3, v: 2, o: 2, e: 3}. What is prob of picking 1 k and 1 z?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 850 + 69. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1249 + -1256. Put w, -2, 4, -3 in decreasing order.\nAnswer: 4, -2, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 12315395, 24630860, 36946325, 49261790, 61577255, 73892720?\n\"Answer: 12315465*z - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of -8*y**4\/3 - 269*y. Let g(d) = -589*d + 1189*d - 597*d. Calculate g(b(a)).\nAnswer: -96*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 3*o**2 + 5*o - 2. Let i be b(4). Factor -4*r**i - 4*r**3 + 10*r**3 - 4*r**3.\nAnswer: 2*r**2*(r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002358153 rounded to 5 dps?\nAnswer: 0.00236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2\/9 (b) -0.3 (c) 191.931 (d) 0.2 (e) -1\/10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m**2 + 4*m**2 + 497*m - 487*m to y*m**2 + q*m + w and give q.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-4)\/(-12)*-338)\/((-4)\/6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -5. Is w greater than or equal to -5\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 440 is divided by 112?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 579 - 478. What is the remainder when 498 is divided by d?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/20 of a gram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24679 + (-3 + 4)\/(7\/(-56))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 8 + 6 = 0. Solve 2*l - 7 = -4*h + 3, 0 = u*h - 2*l + 10 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by 4317?\nAnswer: -3\/1439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112840?\nAnswer: 2, 5, 7, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -83411, -83409, -83407?\n\"Answer: 2*y - 83413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2\/(-6) + 536\/24 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 992.1916l to millilitres.\nAnswer: 992191.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5389128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -q - 6, -p + q - 14 = 6*q. Let y be ((-10)\/15)\/((6\/(-423))\/p). Suppose 3*t + y - 95 = 0. What is the remainder when 45 is divided by t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**2 + b + 1. Let i be o(-1). Suppose t - 15 = -i*t. Is 4 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 181483, 725911, 1633279, 2903581, 4536811, 6532963, 8892031?\nAnswer: 11614009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/5*p**3 + 0*p**2 + 0 + 0*p.\nAnswer: p**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6435619569 to the nearest integer?\nAnswer: 80222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1208, 2421, 3646, 4889, 6156, 7453, 8786?\nAnswer: 10161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + 0 + (-2 - -4). Solve -3*b + 5*m + 1 = 0, -14 = 4*b - c*b + 4*m for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 23154231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/(-4707)*63\/56. Which is smaller: o or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 4799*q**4 - 10407*q**2. Let b(r) = 1600*r**4 - 3469*r**2. Let h(m) = 3*a(m) - 8*b(m). Find the third derivative of h(y) wrt y.\nAnswer: 38328*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2195 (base 11) to base 9\nAnswer: 3857","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*i**4 - 45*i**3 - i + 45*i**3 wrt i.\nAnswer: 24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-1 - 1) - (10 + -16).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i**2 + 9*i + 16. Give m(11).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 118889.2 rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2138 - -3890. What is the remainder when ((-2 - -6)\/8)\/(4\/y) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4713489*d**2*m**2 - 6*d**2*m - 10*d*m**2 + 1935*d + 418*m**2 wrt d?\nAnswer: -9426978*m**2 - 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 138509 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 36*q**2 + 4*q - 54. Let c(f) = -7*f**2 - f + 11. Let w(m) = -11*c(m) - 2*g(m). What is the units digit of w(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 + 0. Let p = -4 + 4. Let r = p - -4. What is the smallest value in d, 5, r?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u - 1. Let c(i) = -2*i**2 + 2*i - 4. Give -c(z) + 3*j(z).\nAnswer: 2*z**2 + z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 247 is divided by 180?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1338)\/(-2)*3 + 15 + -18. Suppose 552 = -3*s + f. What is the highest common divisor of 44 and s?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 991665.3 centuries in years?\nAnswer: 99166530","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = 49*c + 212 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of c**5\/30 + 39*c**2 + 3. Let y = 20 - 14. Let h(f) = 2*f + 3. Let k(q) = -q - 1. Let s(i) = y*k(i) + 2*h(i). Give s(o(v)).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 400000 rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + 7*h**2 + 6*h + 12. Suppose 18*p - 647 = -755. Determine q(p).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**(3\/11)*m)\/m)**(-1\/18))**15 assuming m is positive.\nAnswer: m**(-20\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3a - 2?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2 + 5*t - 2 + 0. Let z(b) = -4*b. Let v(y) = 2*m(y) + 3*z(y). Let r be 4\/((-10)\/6 + 3). Determine v(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jhboqbjjtbhhobj. Give prob of sequence bhoj.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -543*u = -527*u - 36 + 148 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -8095 (b) -0.4 (c) -0.09 (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 61237 and 29007.\nAnswer: 551133","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 336565 is divided by 517?\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -5*k**3 - 91*k**2 + 371*k - 39. Determine q(4).\nAnswer: -331","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (164\/(-123))\/(8\/(-126))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3 + (-3 + (sqrt(153) + sqrt(153) + sqrt(153)*2 - -2*(2 + sqrt(17))))**2 + 5)*5.\nAnswer: 140*sqrt(17) + 16705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 5. Let n = f - -1. Suppose 4*y + n*v - 14 = -0, 3 = v. What is the remainder when y is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16.9 - 17.099. Let d = 0.011 - r. Let b = 0.138 - d. Round b to 2 dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -89, -79, -65, -47, -25, 1?\n\"Answer: 2*k**2 + 4*k - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17365 - 39292 = -2526*h + 36171 for h.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 15 = 0, -2*v - 482*p = -481*p - 3. Solve -4*s = 5*t - 48 + 16, s = v for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.33719 rounded to two decimal places?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.663 to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -331, -664, -997, -1330, -1663?\n\"Answer: -333*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 14*w**3 + 73*w - 399. List the prime factors of u(5).\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1064 (base 9) to base 15\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 2 = 13. Let r(f) = 5*f**2 + 2*f + 3. Let o(b) be the second derivative of b**4\/4 + b**3\/6 + b**2 - 2087*b. Give t*r(z) - 8*o(z).\nAnswer: z**2 + 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-3\/10))\/(t**(-15)*t))\/(t**(6\/5)\/t)**39 assuming t is positive.\nAnswer: t**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 AM and 10:43 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2734, 1, -854, 3 in descending order.\nAnswer: 3, 1, -854, -2734","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.02 - 0.02. Let c = -1100 - -1074. Is y <= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1335 and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 5*l, l - 28 = 3*g - 8*g. Suppose 4*f = g*a - 40, 4*a + a - f - 25 = 0. What is the derivative of -7*u**4 + 6*u**a + 3 - 2 wrt u?\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2006712 by 36.\nAnswer: -55742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 121 + 4 + -6 + 1. Let i = 405 - y. What are the prime factors of i?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/4 - (0 - 1). Let t(d) = -968*d + 6779. Let a be t(7). What is the fourth biggest value in 0.1, 5, a, i?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 PM and 6:17 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/(-195))\/((-4)\/(-5) - 14\/35).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + -1231?\nAnswer: -1231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5010 and 90.\nAnswer: 15030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*i**3 + 1 - 2*i**3 - i**3 + i**3 + (-3*i - i**2 + 3*i)*(-6*i + i + 4*i) - i + 2*i**3 + i)*((-3 - 4 + 6)*(0 - i + 0) - 2*i - 3*i - 3*i).\nAnswer: 7*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32747, 65447, 98147?\nAnswer: 130847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x + 3013837 - 3013837.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 7. Let j = 3.5 - o. Put 0.2, j, 1 in increasing order.\nAnswer: 0.2, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*((-5 + 1 + 1)*(0*g - 5*g + 2*g)*(9*g**2 + 0*g**2 + 3*g**2) + 0*g**3 + 0*g**3 - 2*g**3).\nAnswer: 212*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 22578990 to the power of 1\/3, to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28833, -115168, -259041, -460452?\nAnswer: -719401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8737 is divided by 205?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 30498489?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 201211121 - -21001?\nAnswer: 202002122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2673.27? (a) -0.1 (b) -2\/11 (c) -10\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5c32 (base 13) to base 3\nAnswer: -122220111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/640*-56*(-10)\/24?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1583183 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1543*b*x - 5709825*b - 240*x wrt x.\nAnswer: 1543*b - 240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1759124716 to the nearest integer?\nAnswer: 1207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**3 - 744*d**2 + 37479*d - 536238.\nAnswer: 3*(d - 186)*(d - 31)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3*a**2 - 186*a - 1569. Let g be h(-8). Calculate the highest common divisor of g and 481.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-8 - -12) - 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*r - 24*r - 1404 = 0. Calculate the common denominator of -101\/80 and 269\/r - (-76)\/(-171).\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6986 + 4659. Let v = -989811\/85 + i. Let d = v - -4\/17. Is 7 greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -678885.\nAnswer: -271554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of (-51040)\/(-13) - -15*16\/(-1560)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, y: 3, h: 1}. Give prob of picking 1 h and 2 y.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.03, -0.1, 0.029 in descending order.\nAnswer: 4, 0.029, -0.03, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 16) to base 11\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -169319*r**2 - 42*r - 229?\nAnswer: -338638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 190*l**2. Let h(n) be the second derivative of n**4\/6 - 1502*n. Calculate p(h(z)).\nAnswer: 760*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 - 10*x**2 + 9*x - 2. Suppose 5*b = 4 + 6. Let w(d) = -d**3 - 10*d**2 + 9*d - 1. Let t(v) = b*o(v) - 3*w(v). Is t(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 2*o - 438. Let u = o - 117. Is (5 - -1)*u\/12 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 + -21 + (-9 - (10 - 8))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 - 19*p + 91. Let x be c(11). Solve -2*o = x*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (6\/(-10))\/((-165)\/551375).\nAnswer: 5, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*g**4*s**2*v - 13*g**4 + g**3*s**3 + 3*g**2*s**3 - 3*g*s**3 - 2*g*s*v - 36*g*v wrt g.\nAnswer: -360*g*s**2*v - 312*g + 6*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 9*q**2 + 13*q + 4. What is the remainder when 65 is divided by x(-6)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 3*t - 3*t)*((-t + 3*t - 4*t)*(0 + 1 + 1) + 5 + t - 5 - 28*t + 10*t + 14*t - 1 - 2*t + 1).\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 103514*p - 103510. What is z(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1327 - 19476?\nAnswer: -1a7a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 - 4*x - 1. Let q(c) = -c**2 - 16*c + 23. Let u be q(-17). Is 11 a factor of k(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*-1*sqrt(250))\/sqrt(5))\/(sqrt(160)*-2*-5).\nAnswer: 3*sqrt(5)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 28*q + 2*q + 1 - 73*q.\nAnswer: -99*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6114022*u**5 - 3665195*u**2?\nAnswer: -366841320*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 314*v. Let p(n) = -131*n. Let s(m) = -5*g(m) - 12*p(m). Let d(i) = 1109*i. What is d(s(o))?\nAnswer: 2218*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20 by -10.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31782921?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 5*r**4 + 438820*r**3 + 9646562420*r**2 + 807990489600*r + 16951560192000 = 0.\nAnswer: -43840, -42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -0*n - 5*n - 977, -2*n + 4777 = 5*a. List the prime factors of a.\nAnswer: 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, g: 3}. What is prob of picking 2 g?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 1117280680 to the nearest 100000.\nAnswer: 1117300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*v - 30*v - 5*c + 1604 = 0, 3253 = 2*v + c. What is the remainder when v is divided by 96?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 1355060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1132 is divided by 54?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-20)\/4)\/(2\/4). Let j = 207 + -203. Sort j, x, -2 in decreasing order.\nAnswer: j, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4524062?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of o**5\/30 + 5*o**4\/24 - 5*o**3\/3 - 2*o**2. Let r be j(-4). Is 3\/12 + (14598\/8 - r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -317*g. Let j(o) = -6*o - 8. What is x(j(s))?\nAnswer: 1902*s + 2536","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -209676688*-1\nAnswer: 209676688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 - 20)*(0 + 0 + 8*g + (-2*g + 0*g + 0*g)*(0 - 2 + 3)).\nAnswer: -126*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152639 = t + 2*g, 8*t = 3*t + 3*g + 763286. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - -3 - 120\/(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**12)\/j*j\/((j*j*j**13)\/j*j*j))**(-41)*((j*j**1)\/j**(1\/9))\/(j**8*j**3) assuming j is positive.\nAnswer: j**(9881\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 32, 0 in descending order.\nAnswer: 32, 4, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 8.031014 centuries?\nAnswer: 80.31014","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30525748.\nAnswer: 2, 11, 29, 47, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 7. Let z be 9 + -8 - b*5. Sort z, -3, 5 in descending order.\nAnswer: 5, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -741 + 24*x + 1310 - 789. Let n(w) = w. Determine m(n(t)).\nAnswer: 24*t - 220","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 62 + -33. Calculate the remainder when s is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -55, -62, -69, -76, -83, -90?\n\"Answer: -7*v - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 + 16*a**2 + 228*a + 214. What is t(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 PM and 9:28 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 5*t**2 - 32*t - 1417. Calculate v(-15).\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -4*i - 9, -5*m - 17 = -5*i - 2. Let k be (m\/(-2))\/(-3*1\/(-6)). Let p(a) = 10*a + 11. What is the remainder when p(k) is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 12) in base 14?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/(-135))\/(132\/216)*(-1452)\/11?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 320.4756 to the nearest 10.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1603962?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {r: 4, y: 1, h: 4, p: 8, d: 2}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*5183.4.\nAnswer: 1036.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kbr when three letters picked without replacement from {b: 2, r: 2, k: 2, u: 12}?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 927?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*q - m, 4*m + 6 = 4*q + 2*m. Let d = -581.7 + 582. Which is the closest to -1? (a) -3 (b) d (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -511, -2015, -4523, -8035, -12551, -18071, -24595?\nAnswer: -32123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (83*u + 335*u - 76*u)*(u**3 + 0 + 0).\nAnswer: 342*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2867?\nAnswer: 47, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5357223 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -15\/7*u**5 - 99\/7*u**4 - 9\/7*u**2 + 0 + 30\/7*u - 123\/7*u**3 = 0.\nAnswer: -5, -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dtcctcccccctt. Give prob of picking 1 t and 2 c.\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 208 and 126386?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 331763123?\nAnswer: 19, 17461217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93312 = 90*b + 54*b. Is 8 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/5 (b) 3 (c) 17 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-3\/10)\/y**(1\/8))\/(y**(2\/7))**(-16) assuming y is positive.\nAnswer: y**(1161\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 196745673?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-24)\/(4\/(-2)))\/(-1). Let w(h) = h**2 + 10*h - 3. List the prime factors of w(x).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.15 - 1.85. Which is the second smallest value? (a) 5 (b) n (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*b**3 - 204*b**2 + 204*b**2.\nAnswer: -8*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, p: 9}. Give prob of picking 3 b and 1 p.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 179235.\nAnswer: 3, 5, 7, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 - -13. Find the second derivative of -y**3 + v*y + y - 6*y wrt y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 19 = 308*i - 607*i + 302*i, 4*s - 5*i = 5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + f + 7 = 3*i, 5*f = -2*i + 42. Suppose 579 = i*l - 70. Does 61 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2*((sqrt(704) + (sqrt(704) + 2)*3 - sqrt(704)) + -2 + sqrt(704) + (sqrt(704) - (2 + sqrt(704) + sqrt(704))) + sqrt(704))**2*5 + -3.\nAnswer: -112679 - 1280*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 1 + 2*c + 0*c**2 + 2*c + c**2. Suppose 3*y - 4 = 2*y. Suppose -h - y*h - 15 = 0. What is q(h)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 11:19 AM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -5*a + 2*t, 4 = 4*a - 5*t - 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 146289 = -4*k - 44728, -k = -t - 25370. Does 10 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-240)\/56)\/((-37)\/126 - 32\/(-144)). Solve -c*n + 6 = -61*n for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ohju when four letters picked without replacement from {j: 6, u: 2, o: 3, h: 1}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5009219 or -5009232?\nAnswer: -5009232","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 0.169, 0.5, -2\/17 in descending order.\nAnswer: 0.5, 0.169, -2\/17, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -99 - (71 - (175 + -57))\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**3 + 2*g**3 - g**3)*(3 + 0 - 4)*(7*g**2 - 3*g**2 - 2*g**2).\nAnswer: -4*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b + 0*b + 7*b. Let r(n) be the second derivative of n**6\/360 + n**4\/12 + 2*n. Let v(j) be the third derivative of r(j). Calculate g(v(p)).\nAnswer: 10*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6529769 or 6529702?\nAnswer: 6529769","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8 + (70\/(-10) - -2). Suppose -6*u - 4*o = -4*u + 8, -4*u + 3*o = -6. Solve u*a = b*a + 9 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 579 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 118532, 118538, 118542, 118544?\n\"Answer: -v**2 + 9*v + 118524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1113 and 10169196?\nAnswer: 10168083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1001)\/(-78))\/(-11)*(-7)\/49. What is the third smallest value in 0.1, s, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 + 10*b + 2. Let i be d(10). Suppose z + 4 = i*z. Solve 3*g - z = 2*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 854 = 5*x, -9 = 8*p - 5*p. Suppose -x*s - 12 = -176*s. Solve s + 1 = 2*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 89514889?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**4 - 2*s**5 + 15*s**4 - 14*s**2 + s**4 + 37*s**3 - 35*s**3 = 0. What is s?\nAnswer: -1, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8029 and 5698?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -9*3\/(-9) + (1 - 1). Which is bigger: 5\/2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4939 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = -4*m + 9, 12*s - 13*s + 9 = -m for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2431531 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -213 times 2\nAnswer: -426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 - h**2 - h - 1. Let p(x) = -3*x**3 + x**2 + 3*x - 1. Let z(w) = -2*f(w) + p(w). Let g be z(4). Solve g*s + 14 = -6 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 + 21*x - 9. What is k(17)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in fifteen quarters of a week?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4647596.\nAnswer: 2, 17, 41, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1677656\/42741 + 1060\/27. Let h = -159763\/15830 - p. Find the common denominator of h and 61\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14815 (base 11) in base 15?\nAnswer: -6319","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-nine fifths of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 8:52 PM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -952, 686, 5142, 13826, 28148?\nAnswer: 49518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 37 = -w + 5*i, -7 = -w - 2*i for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/(-28))\/((66*22\/18634)\/(-3))\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 308198353 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3600 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4103 + 134?\nAnswer: 4241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 44*d**2 + 13*d + 1683. What is the thousands digit of r(30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 2*y**5 - 36*y**4 - 714*y**3 - 2828*y**2 - 888*y + 4464 = 0.\nAnswer: -6, -2, 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 0 + -2 + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r + 36. Let n be u(10). What is the third derivative of 94*a**2 + 1682*a**5 - 1682*a**5 + n*a**6 wrt a?\nAnswer: 6720*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 718238 is divided by 8648.\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 391 is divided by 81?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 - 1)*(2 + 2*f - 2) + f + 2 - 2 + 6 + 4*f - 6 + f + 2*f - 4*f to the form m + c*f and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2337*f**3 + 5*f**2 + 15. Let i(l) = -l**3 + l**2 + 3. What is 5*i(u) - j(u)?\nAnswer: -2342*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3023 + 2*r + 1052 - 1215.\nAnswer: 2*r - 3186","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 5444215111?\nAnswer: -5444215102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 339544 a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31873 is divided by 27.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1516108)\/132)\/((-16)\/12 - -1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u - 23. Let c be n(-20). Suppose -4*y = 4, -2*h - 3*y = -h + 1. Does 19 divide 59 + 4 + c + h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -349, -2855, -9659, -22909, -44753, -77339, -122815?\n\"Answer: -358*l**3 - l**2 + 3*l + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3229 is divided by 75.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 7. Let m = 6 - t. Let k = 4.7 - m. Which is the smallest value? (a) -0.1 (b) k (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_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: What is the greatest common factor of 418 and 638?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 12:28 AM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2674875, 2674859, 2674843?\n\"Answer: -16*w + 2674891","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = x + 43, -5 = -b + 3*x - x. Suppose -4*k + 8 = p, -2*p + 8 = 2*k - 14. Calculate the remainder when p\/(-2)*8\/(-3) is divided by b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-24)\/36*(-12)\/(-8). Is o <= 2\/4699?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 3*t = 2 - 0, 5*t - 25 = w. Is w*(1 + -2 - 0) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03952419467 to 4 decimal places.\nAnswer: 0.0395","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 3) to base 5\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 42545230?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of -5*p**4\/12 + 2*p - 959. Let x(u) = 1620*u. Calculate x(i(v)).\nAnswer: -8100*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88 + 280 - 377*i + 378*i - 81 - 73.\nAnswer: i + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) 0.5 (b) -1 (c) -0.9 (d) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -262 - -730. Suppose -714 = -2*c + z. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*v - 8*v - 2*v**2 + 5*v)*(0*v + 2*v - 5*v + v - 4*v + 4*v + (5 - 2 - 2)*(-3*v + v + 3*v)).\nAnswer: 2*v**3 + 11*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 454020257920*s**2 - 10*s**3 - 454020257920*s**2.\nAnswer: -10*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0118 plus -2656398944.7?\nAnswer: -2656398944.7118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 5*j**2 - 4. Let f be i(5). Let h be (6\/f)\/((-3)\/6). Calculate the highest common divisor of h and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2185252579?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.02, -3, 2\/15, 5\/6?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*y - 9*y**2 + 22 + 35*y + 9.\nAnswer: -9*y**2 + 56*y + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 7*k**2 + 5. Let u be h(7). Put -12, 1, u in increasing order.\nAnswer: -12, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (20\/(-25))\/(((-39)\/14490)\/13). Suppose 26*p + l = 33*p. What is the hundreds digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 26) + 31 + 19?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/(10\/(-3))*6. Let k(s) = 4*s**2 - 6*s - 11. Let d(w) = 2*w**2 - 3*w - 5. Let b(f) = l*d(f) - 4*k(f). What is the tens digit of b(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, -4, 4, -390 in decreasing order.\nAnswer: 4, -1, -2, -4, -390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.22256 and -2.\nAnswer: -1.77744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 1\/34 (c) 435 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 4 + 0 = 0. Let x be 88\/72 + (g - 2). Which is the smallest value? (a) 0 (b) x (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 827\/5 - 166. Let w = -0.4 + 0.6. Let i = -0.1 - w. What is the closest to -1 in i, n, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or 1464?\nAnswer: 1464","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 66 and 34.\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -259a3 (base 13) to base 16.\nAnswer: -11081","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 9*r**3 + 82*r**2 + 3*r + 5. Let p be n(-9). Suppose -73*a - 336 = -p*a. Sort 0, a, -4, 5.\nAnswer: a, -4, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001010111101100010101 (base 2) in base 10?\nAnswer: -2456341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x + 3. Suppose 44 = 3*y - 124. Suppose -y = -0*l - 7*l. Let v be -4 - (-4)\/(-4 + l). Determine o(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(2) + sqrt(32) + sqrt(128))*5.\nAnswer: 130*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1061000 = 21224*m - 21226*m. Round m to the nearest 10000.\nAnswer: -530000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 6*l + 4*l = 0. Suppose 0 = -l*w - 10*w + 450. Suppose -2*k = 7*k - w. Solve k = -4*r - 15 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -48.076 - -0.076. Let b = r + 110. Let w = 62.00000504 - b. What is w rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a**2 - 159905*a - 61158510 = 0. Calculate a.\nAnswer: -378, 32359","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -70151 divided by 1\nAnswer: -70151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.03197 - -0.83197. Sort -0.1, i, 5.\nAnswer: -0.1, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1225129844582 from -1.13.\nAnswer: 1225129844580.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 15 = 2*r. Let m(s) = 3*s**2 + 2*s - 1. Let v(h) = -14*h**2 - 16*h + 6. Let z(g) = -5*m(g) - v(g). Give z(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -68 - -73. Solve -1 - 14 = z*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-77 + (-77000)\/(-990))\/((-1)\/3).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.115 in -2\/3, 0, 0.2, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.01*-3.21\nAnswer: -0.0321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 - 20. Let f be v\/(-3)*(-12)\/8. Suppose 5*b = 8*b - 12. Sort b, f, 5 in decreasing order.\nAnswer: 5, b, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, l: 1, i: 10, r: 2}. What is prob of picking 1 l and 2 h?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of -1\/27*a**4 + 0 + 21\/2*a**2 + 1\/270*a**5 + 4\/27*a**3 - 5*a. Let h(b) be the first derivative of r(b). Factor h(s).\nAnswer: 2*(s - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56052 and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = h + 2*a - 15, -a = -4*h + 8. Solve 0 = f + 5*k + 11, 0 = h*f + k - 3*k - 18 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -486\/25 + 4957\/300. Find the common denominator of (-1 - 4) + (-178)\/(-16) and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gwy when three letters picked without replacement from whguychc?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 - -23. Let w = -4 - -8. What is the greatest common factor of w and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65140 is divided by 3967?\nAnswer: 1668","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -5\/2 (b) 10.5 (c) 0.3 (d) -18\/143 (e) 0.05 (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -70694 divided by 6?\nAnswer: -35347\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = 3*u - 297. 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: (-18)\/(-45) - ((-568)\/130 + (-552)\/(-69))\nAnswer: -42\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-8))\/(10\/200). Suppose j*n - 6 = 2*a, a = -n - 0*a - 3. What are the prime factors of 1 + 26 + 2 + n?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 3*s - 38916. Let a(z) = -6*z. Give d(a(g)).\nAnswer: -18*g - 38916","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 25278 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3142166?\nAnswer: 2, 67, 131, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -560 divided by 80\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 3*q**5\/4 - 3746*q**4 - 1090557*q**3 - 151401555*q**2\/2 + 843221313*q\/4 + 157278591\/2 = 0.\nAnswer: -141, -1\/3, 3, 5274","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 435222473 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1525097 is divided by 83?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 6*r + 3*a + 3 = 0, -4*r - a - 1 = 0. Let s be 0 - (r - 0)\/2. Solve s = -2*b + 5*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/372 and -203\/746790?\nAnswer: 1493580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/254)\/(36\/(-54) + (-137)\/411)\nAnswer: 2\/127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/24*889\/210 and 95\/648.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1245 is divided by 185?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157*g - 1600 = 598. Let w(z) = 4*z + 4. What is w(g)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1644785 days to milliseconds.\nAnswer: 14210942.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 320, 640, 960, 1280, 1600, 1920?\nAnswer: 2240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -781, -778, -775, -772?\n\"Answer: 3*h - 784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 - 3 + 1)*(-1 + 1 + 2) - 53 + 17 - 41)*(t**3 - 2*t**3 + 3*t**3) to z*t**3 + k*t**2 + a + u*t and give z.\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*v - 2*v - 3*v)*(v - v + v)*(-165 + 1139 + 616 + 787 - 165) to the form t*v + u + d*v**2 and give d.\nAnswer: -11060","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaao. Give prob of sequence ao.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -8*x + 3. Let p(z) = 2*z - 1. Let d(y) = -9*p(y) - 2*s(y). Let h be d(4). Let o(w) = -w**3 - 3*w**2 - 2*w - 6. Does 18 divide o(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000138921 rounded to seven dps?\nAnswer: 0.0001389","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**4 - 2*l**4 + 2*l**4)*(0 - 2 - 1) - 96*l + 3*l**4 + 96*l.\nAnswer: 6*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/62 and -3\/8.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/(-2)*4\/(48\/(-21)) and 5\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 577205, 1154413, 1731623, 2308835, 2886049, 3463265, 4040483?\n\"Answer: p**2 + 577205*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 80 = -5*v, v + 58 = 5*b - 38. Calculate the remainder when 67 is divided by b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 0*f + 400 = 0. Is f less than 50?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128113241 a multiple of 1311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2467039 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37449 is divided by 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 - 61*x**2 - 176*x + 1029. Give n(-57).\nAnswer: -1935","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -130.7 + 131. What is the closest to 6 in -4, -2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2467778.41 rounded to the nearest 1000?\nAnswer: -2468000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 350\/(-70)*1034\/(-4700)?\nAnswer: 11\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -116 - -170. Calculate the highest common factor of 27 and c.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.103056 * 150\nAnswer: 15.4584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (4*sqrt(120)\/sqrt(2))\/(sqrt(48)\/sqrt(16)) + ((sqrt(50)\/sqrt(10) + 4)**2 - (sqrt(125) + sqrt(125) + 2)**2).\nAnswer: -482 - 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 129 = 5*b, -2*b - 8*l = -11*l - 53. Let t(i) = b + 260*i - 1 - 3. Is t(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 326 is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*b**5*d**2 - 108*b**3*d**3 - 3*b**2*d - 18*d**3 + 4*d**2 wrt b?\nAnswer: -180*b**2*d**2 - 648*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40165805.\nAnswer: 5, 8033161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 82.87508766 - 4961\nAnswer: -4878.12491234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -6*g**2 + 176*g - 18. Let x be q(29). Let n be ((-8)\/6)\/(1\/(-18)). Calculate the highest common factor of x and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of 43\/2*l**2 - 36 - 28\/15*l**6 + 3*l - 1\/3*l**3 + 0*l**5 + 1\/12*l**4. What is the second derivative of k(n) wrt n?\nAnswer: -672*n**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 l when two letters picked without replacement from {y: 1, l: 2, s: 4, t: 1, n: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088) + 1)**2 - (0 + sqrt(833)).\nAnswer: 9*sqrt(17) + 1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2b (base 13) to base 9\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c + 17574 + 35765 = -8613. Is 11 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(3\/(-36)*-2). Suppose 7*q + 18*q = 100. What is the derivative of 1 - y + q*y + 4*y - u*y wrt y?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -4*i - 21. Let c(a) = 7*a + 35. Let m(h) = -6*c(h) - 10*y(h). Let l(u) = 1313*u**2. Calculate l(m(x)).\nAnswer: 5252*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11761 - -12475. Which is greater: 715 or b?\nAnswer: 715","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -1. Let h(j) = -j - 4. Let s be h(-6). What is the derivative of 3 - n**s - l + 2 wrt n?\nAnswer: -2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-550)\/330)\/((-3750)\/(-90)).\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15333*-34.8.\nAnswer: 533588.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -3745 and -3717 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - v + 5 = -10, -6*v = -y + 34 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/5 (b) 140 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39 + -31 + (-20 - -8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 1213 + 3791 = g, -2*g = 5*d - 4295. List the prime factors of d.\nAnswer: 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 656448 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -5*u + 7. Let g(k) = 5*k - 8. Let c(n) = -6*g(n) - 5*l(n). Is c(-33) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (15 + -14)*(-14)\/(-3) and -39\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*z**2 + 34 - 2*z - 34 - 2*z to k + u*z + v*z**2 and give v.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = 2*v - 0*v + 3*u, -5*v + 4*u = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30022331 (base 4) to base 16.\nAnswer: c2bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70006 is divided by 252?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 + 5*c + 6. Let a be n(-8). Let o = 12 - a. Let i = 3 - o. What is the remainder when i is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 21 = -15. Suppose 6*a = 5*a + 5. Suppose -10*w + a*w + 230 = 0. Calculate the remainder when w is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3 - 2246*v**2 + 633920*v - 1881600.\nAnswer: 2*(v - 560)**2*(v - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4\/(-6))\/((-32)\/(-96)))\/(3*-3)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 - 37. Let b = y + 32. What is the remainder when 19 is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-2)*44\/6. Let h = -8 + d. Solve 3 + 3 = -2*m + 2*x, -m - 3 = h*x for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/10 + 66\/(-10). Let r be (-12)\/7 + 6\/(-21). Let q(v) = -4*v + 1. Let s(b) = b. Calculate r*q(z) + t*s(z).\nAnswer: z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 41, 76, 111, 140, 157, 156, 131?\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1835341?\nAnswer: 233, 7877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1235621 is divided by 2629.\nAnswer: 2620","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -3.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3213 and 252?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -94054 (b) -0.3 (c) -7 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -55 - -81. Let g = 61546 + -61516. What is the remainder when g is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*7\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -24295, -24295, -24293, -24289, -24283?\n\"Answer: o**2 - 3*o - 24293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 819492\/144929 + 23753855042\/4791207811. Let j = l + 8\/2543. Are 12 and j nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.105 and -2\/45 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c**2 + 19*c - 38. Let f be l(6). Let w(m) = -m - 8 + 4 + 3*m. Give w(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-4\/9)\/l*l\/(l\/(l\/(l**(-10)*l))) assuming l is positive.\nAnswer: l**(77\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 269, 2432, 8315, 19778, 38681, 66884, 106247, 158630?\n\"Answer: 310*u**3 - 7*u - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/2412 and -125\/72.\nAnswer: 4824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*m - 363 = 69*m for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvs when three letters picked without replacement from dwshdlvlv?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3613254.\nAnswer: 2, 3, 23, 26183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1372, -302, 768, 1838?\nAnswer: 2908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137154.\nAnswer: 2, 3, 22859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25935.\nAnswer: 3, 5, 7, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*d**4 + 18*d**4 - 6 - 59*d**3 - 2*d + d**2 - 59*d**4 + 25*d**4 to the form j*d**2 + l*d**4 + h + g*d**3 + r*d and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - 6*m**2 + 9*m + 18. Let b be y(-7). Solve k - 15 = 5*l, 0 = -3*k - b*l + 5 - 17 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(48)\/sqrt(2))\/sqrt(12))**2 + -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6878726, 13757459, 20636192?\nAnswer: 27514925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19931395.\nAnswer: 5, 11, 17, 21317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 9*h**2 + 9*h + 10. Let f be a(-8). Solve -f = -2*s - 0*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - -7c556?\nAnswer: 7c552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12547997.\nAnswer: 7, 11, 107, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1780, 3564, 5350, 7138?\n\"Answer: m**2 + 1781*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -35.16 + -0.84. Let p = n + 35. Which is the closest to 0.2? (a) -0.2 (b) p (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/7))**41*(o*(o*o**(-8))\/o)\/(o*(o\/(o\/(o**4*o)))\/o) assuming o is positive.\nAnswer: o**(-2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -102 - -102.4. What is the nearest to -2\/9 in n, -0.7, -3?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 + 8*u**2 + 3*u - 12. Let l be h(8). Let g = l - 7. Suppose 2*b - 51 = -5*a - 0*b, -10 = g*b. Is a a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 859\/((-280893)\/5886) + (3 - 1)*-32\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 40 + -36. Sort 0.3, -6, g in increasing order.\nAnswer: -6, 0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*k**2*t**3 + 2*k**2*t**2 + 22786*k**2*t + 2*k**2 + 3*k*t**3 - 110*k*t**2 - 8*k + t**2 wrt k.\nAnswer: 20*t**3 + 4*t**2 + 45572*t + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -4, -80, -2\/119 in ascending order.\nAnswer: -80, -4, -2\/119, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 - 111*l + 83051. Calculate x(238).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m**3 + 4*m**2 - 4*m - 3. Let z(j) = -4*j**3 - 5*j**2 + 5*j + 4. Let w(v) = -5*g(v) - 4*z(v). Differentiate w(i) wrt i.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 15*c**3 - 15*c**2 - 125*c - 95. Let n(o) = -7*o**3 + 8*o**2 + 63*o + 48. Let z = -121 + 116. Let b(w) = z*n(w) - 2*r(w). Factor b(f).\nAnswer: 5*(f - 5)*(f + 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y + 2 - 5*y + 3*y. Suppose -2*l + l - 4 = 0. Let f be n(l). Solve 5*p - 18 = -3*q, -4*q - q + f = 3*p for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 9*j**2 - 2352*j - 49725. Determine w(281).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 55 and 7645.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -29 (base 15) to base 8.\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.008 - 0.008. What is the nearest to k in -0.7, 0.2, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 3. Let k = 477 + -480. What is the closest to t in -1\/2, 2, k?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-4) - (-17)\/34. Let u(k) = -3*k - 15. Let x(q) = -q - 1. Calculate i*u(t) - 15*x(t).\nAnswer: 12*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -542*b + 1523*b + 436*b.\nAnswer: 1417*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20 by 331180.\nAnswer: 1\/16559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 70\/67 + -2427\/335. What is the common denominator of -2\/15 and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -30 - 9 + 45 + 11*g + 17*g**3 - 5 in the form t*g**3 + h*g**2 + a + x*g and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of n**3*q + 268*n**3 - 2*n**2*q + 3*n**2 + 6*n*q - 2*n - 2*q + 4109 wrt n.\nAnswer: 6*n*q + 1608*n - 4*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 226532 - 226532 + 1306201*w**2.\nAnswer: 1306201*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14\/74553 and -47\/6?\nAnswer: 149106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168274 is divided by 167883?\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l + 9. Let f be y(-9). Suppose m - 3*m + 12 = f. Calculate the greatest common factor of m and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - -8) + 10 + 3 + 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w**2 + 8*w - 1. Let l(g) = g**2 - 4*g + 1. Let j(y) = -5*l(y) - 3*s(y). Let m be j(5). Solve d - t = -3*t + 3, -m*t = -4*d - 21 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20209 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3602?\nAnswer: 2, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1100100 (base 2) to base 5\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v. Let g = -29 + 31. Let z(l) = -12*l. Let o(d) = -36*d. Let t(x) = g*o(x) - 7*z(x). Calculate q(t(i)).\nAnswer: 24*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 - 10. Let b = -4 + v. Let u = 33.48 + b. What is u rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*o - 2*s + 39, -2*o - 3*s = -25. Suppose -33 = 4*p + 4*i - o, 2*p - i = -26. Let a = p - -14. Sort -5, a, -2\/15 in ascending order.\nAnswer: -5, -2\/15, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -115 + 108351?\nAnswer: 108238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 844590.5ml to litres.\nAnswer: 844.5905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2907053?\nAnswer: 37, 78569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 2*d + 12, -7 + 55 = 3*k - 2*d. Calculate the remainder when 175 is divided by k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1707*f + 10 = -1709*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3*m**2 + 3*m - 2. Let l be p(-2). Suppose -95 = -5*h + l*d + 384, -5*h + d + 476 = 0. Let v = -58 + h. What is the remainder when v is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 6 - 4)*(1 - 1 - 3*x**4) - 4*x**4 + 6*x**4 - 6*x**4 - 3*x**4 - 7 - 10 + 15.\nAnswer: -13*x**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -503 (base 6) to base 13.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-2 + 8) - (-1 + -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, -3, 1, 5, -2\/1559, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*l - 78 = 9*d + 19*l, 53 = -5*d - l for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 8*k + 13. Let i(r) = -257*r**2 - 2*r. Give p(i(y)).\nAnswer: -2056*y**2 - 16*y + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-550219)\/17749 - 4*-17?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1755510 a multiple of 359?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1133 and 5253.\nAnswer: 57783","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 100680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720) + (-1*sqrt(720) - sqrt(720)))**2 + -2 + -4.\nAnswer: 714","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22 - -99. Suppose 0 = -56*v + 5551 + 7385. Calculate the highest common factor of a and v.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24 - (-35 + 18 + 11) - (8 + 1)) + -5.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*(1 + 0 - 1). Suppose x*n + 12 = 2*n. Suppose -15 = n*i - i. Let k(z) = -z**2 - 4*z + 1. Calculate k(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -63 (base 9) to base 4.\nAnswer: -321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4322)\/7 + 88\/(-154). Calculate the common denominator of -41\/70 and (-44)\/231*g\/80.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-28))\/(p*p*p**(-6)*p*p)*(p*p**(4\/5)\/p*p)**(2\/81))**(-20) assuming p is positive.\nAnswer: p**(4492\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -1 + 0*o + o**2 + 132*o**3 - 3*o - 130*o**3. Give f(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 200 = 6*q. What is the highest common divisor of 25 and q?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p - p. Solve -3*v = -p*v - 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 1:02 PM?\nAnswer: 3:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*m - 3. What is q in -89*q + 5*q**2 + 89*q - 45*q**m - 45*q**5 + 5*q**3 = 0?\nAnswer: -1, -1\/3, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + h + 4 = 0, -17*z - 4*h = -22*z + 16. Solve -3*u - 65 + 59 = z for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 396 and 3036?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125 - 1849*p**2 - 1846*p**2 + 7390*p**2 - 1849*p**2 - 1847*p**2.\nAnswer: -p**2 - 125","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 865740 a multiple of 235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -150.54 or -2\/8127?\nAnswer: -150.54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -112 + 122. Calculate the least common multiple of c and 7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 55, 50, -2\/3, 5?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 + 6. Let c = z + -34.48. Let n = 2.1 + c. What is n rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 3 - 3)*(-2*w - 4*w + 5*w)*(2 + 0 - 3).\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 10:18 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (17 - (4 + -1 + (3 - 13)))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 37035395?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4060 and 820260?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/177 and 65\/59354.\nAnswer: 178062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 5*m = -27, 5*m - 6 - 39 = 5*a. Let y be a*(-1 + 0) + 1. Solve z + 2 = y for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1d + 1?\nAnswer: -1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 337*f**2 + 8*f - 9. Is u(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 1, -5*j = 3*z - 3*j - 1. Let r(y) = -y**2. Let u(v) = -5*v**2 - 1. Let f(i) = z*u(i) - 6*r(i). Factor f(h).\nAnswer: (h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103313?\nAnswer: 7, 14759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 12 + 6 = 4*v, -4*c + v = 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 5*r - 2. Let b be q(2). Let y = -12 + b. Let c = -0.3 + -0.7. What is the nearest to 1 in c, -2, y?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-1\/7))\/g*g\/(g*g**(-11))*g assuming g is positive.\nAnswer: g**(85\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h\/(h*h\/(h\/h**(-1\/4))*h)*h)\/(h*h**18))\/(h*h\/((h\/(h**18*h))\/h)*h**10))**(-39) assuming h is positive.\nAnswer: h**(7605\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10127*z**3 + 522*z**2 - 2*z + 1 wrt z?\nAnswer: -60762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d + 0*d - 6*d)*(47*d - 47*d - 44*d**2).\nAnswer: 176*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (18\/(-306))\/(8\/(-424)) and 57\/508?\nAnswer: 8636","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9*(-6 - -1)*(-33)\/(-55)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 6*z**2 + 6*z + 2. Let f = -1309 + 1304. Let x = 6 + -2. Let d(c) = 7*c**2 + 7*c + 3. Calculate f*m(o) + x*d(o).\nAnswer: -2*o**2 - 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -44*x + 45*x. Suppose x*p + 612 - 2100 = 0. What is the remainder when p is divided by 49?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 110870, 110799, 110728, 110657?\nAnswer: 110586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3579 + -419220?\nAnswer: -415641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*t**3\/7 + 232*t**2\/7 + 2332*t\/7 + 5360\/7 = 0. What is t?\nAnswer: -5, -4, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-1)*-1*(-3)\/(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.35 + -1.5. Let c = -10.55 - x. What is c rounded to 0 dps?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1664*j*m**4 - j*m**3 - 5*j*m**2 + 777*j + 33*m**4 + 3*m**3 - 34*m**2 wrt m?\nAnswer: -39936*j*m - 6*j + 792*m + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 851198723?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.04 from -10381399943289.\nAnswer: -10381399943289.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k = 128 - 408. Calculate the highest common divisor of k and 160.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 2\/5 (b) -0.5 (c) 4\/27 (d) -3 (e) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4990 and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, u: 9}. What is prob of picking 1 f and 1 u?\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2 + 2*y**4 + y**4 + 7 + 2*y**4 with respect to y.\nAnswer: 20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/72*-6*-1*3\/(-15)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1033413412 (base 5) to base 3\nAnswer: -11020012122121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52 and 901731766?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1077 and 197809?\nAnswer: 593427","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 190007035 to the power of 1\/3, to the nearest integer?\nAnswer: 575","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1630691114?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**3\/5 - 522*f**2\/5 + 1089*f + 2986764\/5.\nAnswer: -3*(f - 68)*(f + 121)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6018)\/24072*(4\/(-6) - (-4)\/(-12) - 1). Let n = 16\/5 - 17\/10. Factor -1 + n*u - g*u**2.\nAnswer: -(u - 2)*(u - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**3\/4 + 11*z**2\/2 - 10*z = 0.\nAnswer: 0, 2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 402, 418, 434?\n\"Answer: 16*z + 386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/39 and -74\/57.\nAnswer: 741","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13013 + -13163.935. Let c = h - 0.065. Let u = c + 151.207. What is u rounded to 2 dps?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 311*v**5 - 4*v**4 + v**2 + v + 117?\nAnswer: 18660*v**2 - 96*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 395?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 5*w**2 - 8*w + 3. What is the units digit of m(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*l**2 + 8*l**2 - 34*l**2 to a + b*l + y*l**2 and give y.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/13635 and 103\/6.\nAnswer: 27270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (51\/(-9) - -3)*(-5 + -85). Let v = b - 721\/3. Let j = -0.06 + -1.94. What is the closest to j in 0.5, v, 2\/11?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-90)\/3348)\/(5\/(-45)). Which is bigger: 0 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-2 - (-6 + (-2 - -8)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and 36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11.4 + 3.5. Let q = -8 - u. Sort q, -2, 2\/21 in descending order.\nAnswer: 2\/21, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 414 + 397 = -2*p, -5*f - 31 = -p for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-78*q**2 - 10*q**2 + 18*q**2)*(0 - 4*q**2 + 5*q**2 - 2) to h*q + m*q**2 + a + r*q**4 + t*q**3 and give m.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1465554513 to the nearest integer?\nAnswer: 1136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*o + 118 + 2822 = 0. What is the greatest common factor of o and 2870?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41446 (base 7) in base 2?\nAnswer: -10011111000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + 5*t**2 + 1. Let i(y) = y**3 + 4*y**2. Let z(g) = -5*i(g) + 4*l(g). Let f be z(0). Which is the nearest to 1\/2? (a) 0.4 (b) f (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*y - 149*y + 1290 = 0 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 2:42 AM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3837?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72418580 divided by -101998.\nAnswer: 710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*i + 230 = 42973*c - 42975*c, 2*i - 14 = 2*c for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14.2 + -14. Which is the nearest to 1? (a) -2\/7 (b) 4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5683*p - 5683*p - p**3.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -68, -84, -108, -146, -204?\n\"Answer: -h**3 + 2*h**2 - 15*h - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 0 and 3591.5968.\nAnswer: 3591.5968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -308 divided by 5\nAnswer: -308\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/1255 + 99147\/2510. What is the common denominator of i and 2\/10 - (-138)\/(-40)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, p: 4, h: 1, q: 1, s: 3, r: 1}. Give prob of sequence prqd.\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 - -10)\/((-6)\/(-33)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*t - 3*v, v = -t + 2*v + 1. Suppose 2*n + t - 1 = -3*p, 2*n + 2*p - 4 = 0. Let l be 5\/(3\/(-4) - n\/(-4)). Solve 3*b - 7 = l for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/8 and 7\/11552.\nAnswer: 11552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 536 is divided by 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 11*t + 8. Let y(z) = 9*z + 10. Let c(w) = -5*k(w) + 6*y(w). Give c(13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 4*h = -91 - 105, 0 = -2*n - 3*h - 93. What are the prime factors of (3 + 1)\/((-8)\/n)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -180 or 31634?\nAnswer: -180","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23866292?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18\/72 - 43*(-2)\/8. Let c(q) = 4*q**2 + 10*q + 6. Let w(v) = 21*v**2 + 50*v + 30. Let n(t) = p*c(t) - 2*w(t). Give n(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8.616647l?\nAnswer: 8616.647","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45533385 is divided by 5059259?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 219875?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -2667 - 20068. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-120)\/16*4\/(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2102*z + 2081*z + 63 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhmlllhhllll. What is prob of sequence hm?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 + -5 - -2 - 0. Let a = -62 - -808\/13. Which is smaller: l or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3 - 8 - 7973*p - 11 + 7974*p. Give g(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-6.96\nAnswer: -3.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 299, 300, 301?\n\"Answer: d + 298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 22 = 4*p, -112*p + 107*p - b - 35 = 4*b for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3656 is divided by 3647?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 + 0.1. Let i = -1.096 + 0.996. What is the nearest to v in i, 2\/11, 4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -2*g + 5*m, 0*m = -g - m + 9. Let u(h) = -21*h**3 + h**2 - 8*h - 2 + 5*h - 3*h**2. Let j be u(g). What is j rounded to the nearest one hundred?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -o - 1 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 794720, 794722, 794726, 794732, 794740, 794750?\n\"Answer: y**2 - y + 794720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 193130?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -2*g + 9, -2*g - 4*x + 0 = -14. Let q(v) = 7*v - 5. Let c be q(g). Suppose 3*l + 3 = 2*l + 2*b, 5*l + 5*b = c. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t + 5*t + 0*t)*(-t + 2 - 2) - t**2 - 2*t**2 + 2*t**2 + 16*t**2 - 6*t**2 + 10*t**2 - 4*t**2 + 5*t**2 - 3*t**2.\nAnswer: 16*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 989 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3985\/265 + -11*(-16)\/(-4664).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(24\/56 + (-22)\/35).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 23\/11 (b) 5 (c) 34 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42e0e (base 15) to base 4.\nAnswer: -303312332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108 = -162*s + 108*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9156*z**3 - 3952 wrt z?\nAnswer: 27468*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u - 14. Let o be q(11). Suppose 7*f = o + 20. Suppose f*v + 4*m = 4832, -5*v + 6*v = -3*m + 1218. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182473931533 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 3*q - 6. Let m be (-13)\/q - 4\/(-10). Suppose -4 = -m*k + k. Which is bigger: 1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/5*1\/(25\/375).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s**3 - s**2 + s + 4. Calculate l(-3).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9.7 + 9.593. Let a = j + 0.188. What is a rounded to 2 dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 679*r = 670*r + 54 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13373?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does -4210 = 6\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-704)\/(-132))\/(3\/(27\/(-6)))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 + -15. Suppose 0 = -0*l - 2*l + 44. Calculate the smallest common multiple of d and l.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16853*b**2*f**2 + b**2*f - 1737*b*f**2 + 54535252*f wrt f.\nAnswer: -33706*b**2 - 3474*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 80*u - 15. Let d(z) be the first derivative of 5*z**2\/2 - z + 61. Let g(i) = -60*d(i) + 4*y(i). Let t(f) = -5*f**2. Give t(g(r)).\nAnswer: -2000*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qw when two letters picked without replacement from {q: 3, n: 6, z: 2, k: 1, w: 4}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 47\/2 of a century?\nAnswer: 28200","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Sort -1012, 4, -87, -10 in increasing order.\nAnswer: -1012, -87, -10, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 904, 1808, 2712, 3616?\n\"Answer: 904*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 269 + -267. Let k(m) = -4*m**3 + m - 4. Let g(w) = 9*w**3 - 3*w + 9. Give a*g(x) + 5*k(x).\nAnswer: -2*x**3 - x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 361270645 and 68050.\nAnswer: 6805","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 232 - 53. Suppose 2*m - 94 = 3*h, -3*m - 6*h + h + u = 0. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 1. Let p = -61.9 + 57. Let f = p - -5.3. What is the fourth biggest value in -1\/6, f, r, -0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, u: 2}. What is prob of sequence ooo?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*h + 40*h - 25 = 0. Let x be 0\/(-2 + 1 + 0\/h). Solve 5*d - q = 10 - 34, 4*q + 4 = x for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 159775 in decreasing order.\nAnswer: 159775, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*w + 411 = -i - 36*w, -20 = 4*w. Let t = i - -687. Calculate the highest common factor of t and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 593124, 593121, 593118?\n\"Answer: -3*x + 593127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -165 - -1685.6216.\nAnswer: 1520.6216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 42647\/15 - 72\/540 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 844 is divided by 94.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 10, -k - 5*h = 2*k - 40. Does 21 divide k\/(5\/116) - -2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 138947 and 12141?\nAnswer: 1250523","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/22)\/(102\/1479).\nAnswer: 29\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.9281 - 139.8961. Round z to the nearest 10.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 3. Find the common denominator of 358\/66 - 1\/3 and (-171)\/(-15) - n\/(-4).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(216))\/sqrt(6) + sqrt(36) + (sqrt(36) - sqrt(180)\/(sqrt(10)\/sqrt(2))))\/(5*3*sqrt(12)*-3).\nAnswer: -4*sqrt(3)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 4) to base 15.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 46. Let a = -39.00045 - k. What is a rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**3 - 5*h**2 + 4*h - 3. Let t be i(3). Let g(w) = w**3 + 7*w**2 + 7*w + 9. Let l be g(-6). Suppose 0 = -l*j + 7 + 8. Solve -7 - t = -j*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xprr when four letters picked without replacement from {e: 4, x: 2, p: 4, r: 3, i: 1}.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -3*g. Let b be ((-11)\/(-2))\/(2\/4). Let d(w) = -5*w. Let o(i) = b*t(i) - 6*d(i). Let v(m) = 6*m. What is v(o(h))?\nAnswer: -18*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-2\/19)*y*y**(-1\/50) assuming y is positive.\nAnswer: y**(831\/950)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of u**6\/3 - 1651*u**3\/3 + 1715*u**2 - 71. Find the second derivative of p(b) wrt b.\nAnswer: 40*b**3 - 3302","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 63\/7*((-2)\/1)\/(-2). Suppose 8 = r - x. Solve 3*d - k - 3*k - r = 0, -3*k - 19 = 4*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 243 + -345. Let v = p - -101.918. Round v to two decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2118033, -2118034, -2118035, -2118036, -2118037?\nAnswer: -2118038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 181168 and 185264.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from hssq?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3*q = 2*q. Suppose 3*t - 1142 - 2023 = q. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 284490 to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 269*g - 545*g + 256*g to q + z*g and give z.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 111.46 rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110 - 110001?\nAnswer: -1000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 108690899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + 24. What is the remainder when o is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 3\/8, -1\/7, 2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 9074776 divided by 4\nAnswer: 2268694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -7\nAnswer: -2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 0*g - g**3 + 3*g - g**2)*(-3*g - g**2 + 3*g).\nAnswer: g**5 + g**4 - 2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 742483 is divided by 2023.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 9 + 34\/(-10) + 0.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + -25 - -28 - -94 - 13?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.221155 nanometers to kilometers.\nAnswer: 0.000000000007221155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 721772.6mg to kilograms.\nAnswer: 0.7217726","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.09348 + 0.099. What is w rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -59*x*z + 2*x + z + 2716 wrt z?\nAnswer: -59*x + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-674)\/10 + 10\/25. Let o = 57 + s. Is -7 >= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 3, -4233960 in increasing order.\nAnswer: -4233960, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/7 or -6401164?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 172*a**2*u**2 + a**2*u - 4*a*u**2 - 18*u wrt u.\nAnswer: 344*a**2 - 8*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-124)\/620)\/((-1)\/(-10)*-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3296830577 to the nearest integer?\nAnswer: 57418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -354.17*2017.\nAnswer: -714360.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 - 7*n**2 - n + 4. Let m(f) = -f**3 - 6*f**2 - 2*f + 3. Let l(c) = -2*d(c) + 3*m(c). List the prime factors of l(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-18))**(12\/5)*(c**42)**(16\/5) assuming c is positive.\nAnswer: c**(456\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/5 of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 + -4073?\nAnswer: -4065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -53927 - -91999459\/1706. Let t = d + -52027\/3412. Find the common denominator of (412\/(-42))\/((-68)\/51) and t.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 47 - 47.06. Let f = y - -0.05965. What is f rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6098 - 3527. Is (-12)\/(-2)*(-2 - x\/(-6)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45730?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 43487163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -7892*(99\/36 - 3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110419 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 8\/313?\nAnswer: 8\/313","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-66))\/(16\/(-24))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 95.68 + -90.8. What is t rounded to 1 dp?\nAnswer: 4.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4567 is divided by 4299.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-1 + sqrt(343) - sqrt(343))**2 + sqrt(343) + 5 + 0 - (2*sqrt(343) + -3 + sqrt(343) + (sqrt(343) - (1 + sqrt(343))) + 2)**2*-4.\nAnswer: -329*sqrt(7) + 12368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/12)\/(4\/20)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0201082 to three decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of 25*n**3\/6 - 107*n**2\/2 - 12*n + 1. Is t(17) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h - 3. Let u(x) = -x + 1. What is 2*q(d) + 5*u(d)?\nAnswer: -3*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 3*c + 13 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -532*t = -539*t - 61089. Let x = t + 18860. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of p**3\/3 + 3*p**2\/2 + 4*p + 2. Suppose 5*u + 13 = -2. What is a(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 - 3*v - 1. Let y be o(-2). Is 0 greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 0*h + 1 - 208 = h, 4*j - 216 = -2*h - 6*h for j.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -395.99999567 - -396. Round a to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22786 and 6?\nAnswer: 68358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 383760305 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005083677 to 5 decimal places.\nAnswer: 0.00051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2022 (base 3) to base 12.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dz when two letters picked without replacement from dzzdzdzzzdzzzz.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 3) to base 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92 = 27*i + 2*r, 4783*i - 4787*i - 8 = r for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*a - 2888 + 2620 = 0. Determine z so that 163\/3*z**3 + 116\/3 + 3*z**5 - 323\/3*z**2 + 89*z**a - 112\/3*z = 0.\nAnswer: -29, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-one fifths of a millimeter?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v - 26. Determine w(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a millimeter in micrometers?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 3*v - 6*v = -255, -113 = -2*y + v. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 30 + 1?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 3:06 AM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (288\/45)\/(2\/(-10)). Let z = l + 36. Let i = 5 + z. Solve -s + 4*d = -13, s = 3*d + 2 + i for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174 is divided by 21.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -22355724*h + 30112834?\nAnswer: -22355724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*i - 17*i + 41 = 4*w, 50*w + i - 547 = 0 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + -1 + (-399)\/190)*(-43 + (-11880)\/(-280)).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.29 - 0.01. What is the biggest value in -3, z, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 74 - 86. Calculate the common denominator of -49\/2 and (-5)\/10*534\/j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 38*o**5 - 662*o**4 - 4816*o**3 + 89512*o**2 + 222848*o - 2455040 = 0.\nAnswer: -8, 5, 14, 274\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-3) + (6 - -2)\/8\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 5:40 PM?\nAnswer: 8:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32299.6 + -32299.5. Let m = -5\/7 + 8\/21. Put a, m, 20 in increasing order.\nAnswer: m, a, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 115877979 and 4270.\nAnswer: 1158779790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**5\/2 + 3*k**4 + 4*k**3 - 8*k**2 - 24*k - 16.\nAnswer: (k - 2)*(k + 2)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000 - -100?\nAnswer: 11100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11241854.\nAnswer: 2, 13, 73, 5923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = n - 136, -3*w - 2*n + 215 = 113. What is the remainder when 947 is divided by w?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*(18\/4 + 2). Let y be ((-4)\/(48\/(-15)))\/(1\/132). Suppose 3*a - 9 = 0, 3*g + 3*a = -0*a + y. Calculate the greatest common divisor of o and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/18)\/((1*6)\/(-2))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 82 = -5*x, 5*x + 2408*f - 73 = 2401*f for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 - (1 - 2)) + 27\/(-27). Suppose -12 = -4*n, 5*g = -0*g + j*n - 17. Suppose -3*r = r - 20. Sort r, g, -5 in descending order.\nAnswer: r, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -219*q**3 - 4 + 4 + 223*q**3.\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(153)\/sqrt(3))\/sqrt(3) - sqrt(51)\/sqrt(3)*-6 - ((sqrt(136) - -1*sqrt(136))\/sqrt(8) + (-1*sqrt(153))\/sqrt(9)))**2.\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*o**3 + 91*o**3 - 28*o**3.\nAnswer: 131*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 43133 at least 43132?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32 - 32. Suppose 2 = k - d. Solve k*s + 2 = -y, -2*y - s + 2 = 6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -130*o**4 - 2*o + 18?\nAnswer: -1560*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16108 - -16123. Solve k*a - 925 = -1060 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 55.98 + -58. Let l = w - -0.02. Let b = -2.000058 - l. What is b rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (4 + -6)) + -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = -4*k + 68. Let j be 6\/4*(-4)\/(-6). Let d be 2 - -6 - 2*j. Solve -k*q = -d - 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18824\/(-17376)*(-392)\/273\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i - g = 42, -5*i + 232*g + 35 = 231*g for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2422*x**2 + 675*x**2 - 3101*x**2.\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 20*l - 18*l - 5*v + 1, 2*l - 3 = -37*v - 40 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3*k = 0. Let j be 52*(3 - (3 + -2)). Suppose j = s + 3*s. Solve -5*y - 6 + s = k for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -50853*p**4 - 193*p**2 + 4*p - 53?\nAnswer: -1220472*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.81218nm in centimeters?\nAnswer: 0.000000981218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25.684 + 25.7. Let y = 0.49 - v. Round y to 2 decimal places.\nAnswer: 0.47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 4*v = 32 - 4, 0 = -5*m + 4*v + 4. Suppose -m*x = -7*x. Let d be (-3 - -2)*(x - 0). Solve 3*q - 1 - 2 = d for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 330 + -298. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36684?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 727199 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o**2 - 2*o + 84. Let u be h(6). Let d = -8 + 12. Let m be (6\/(-8))\/(6\/d). What is the third smallest value in u, m, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 3*z = -z + 20, -2*z - 10 = 0. Suppose f - 114 = 38. Let c = f - 143. Which is bigger: h or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-241.73885.\nAnswer: -96.69554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -5891*c**3 - c**2 - 21*c - 21. What is the hundreds digit of g(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**6)**8 assuming s is positive.\nAnswer: s**48","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.045 - 2.045. Let r(o) = 3*o**2 + o. Let u be r(-1). Which is the closest to q? (a) 1 (b) 4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = p + 4*x, -3*x + 33 + 11 = p. What are the prime factors of p?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 50285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tvvt when four letters picked without replacement from {z: 1, t: 11, v: 6}.\nAnswer: 55\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 156 by -330892.\nAnswer: -39\/82723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 878 + -875. Solve -2*y = w*k - 11, 4*y + 13*k - 18 = 11*k for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 661538 divided by -16\nAnswer: -330769\/8","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 255740655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 122559134 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -108, -116, -134, -168, -224, -308, -426?\n\"Answer: -h**3 + h**2 - 4*h - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*a = 14*a + 5. Let d be (3\/(-2))\/((-1)\/(40\/6)). What is the greatest common factor of d and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -4, -0.047, 1 in increasing order.\nAnswer: -4, -3, -0.047, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 10 - 6)*(-u + 0*u - 2*u) - 191 + 378 - 181 - 9*u.\nAnswer: 36*u + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20468833, -40937661, -61406487, -81875311?\nAnswer: -102344133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 77, -5, -3, -4.\nAnswer: -5, -4, -3, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 175\/(-140)*(-1 - 1)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 2178.482 nanometers?\nAnswer: 0.0002178482","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jxxjxxxx. Give prob of sequence xj.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -88628*m + 6247272.\nAnswer: -88628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 251.4 and 0.1396?\nAnswer: 251.2604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 15. Let g = -0.1 - -0.05. Let f = g + 4.05. What is the nearest to 1 in y, 1\/3, f?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -38*n**2. Let q(a) = -620*a. Determine q(d(s)).\nAnswer: 23560*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 71157.59ms in seconds?\nAnswer: 71.15759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 11 = -34. Let j = c + -5. Is (-2 - -31) + -5 + j a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*y**4 - 13*y**4 - 8*y**4 + (-y**3 + 4*y**2 - 4*y**2)*(4 + 2*y - 4) + 0*y - 2*y**4 + 0*y - y**4 + 2*y**4 + y**4.\nAnswer: -30*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 114 = -261. Let t = 79\/172 + 149603\/1204. Let d = t + l. Which is the nearest to d? (a) -4\/7 (b) 5 (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 2. Suppose 0 = -291*j + 55*j + 64 + 172. Solve -q - 2 = 4*l, l + 7 = -u*q + j for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-4))\/((-2)\/56).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a\/a**(4\/5)*a)*a**2*a)\/((a*a\/(a*a**(1\/3)\/a))\/(a\/a**(-2))))**(2\/63) assuming a is positive.\nAnswer: a**(94\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of -t**7\/252 - t**6\/180 + t**5\/120 + t**4\/72 + 8*t. Factor f(u).\nAnswer: -u**2*(u - 1)*(u + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = -2*u + 15, 16612*z + 5 = 16615*z + 4*u for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1)\/(f\/(((f\/(f\/f**(3\/8)))\/f*f*f)\/f)))**(2\/3) assuming f is positive.\nAnswer: f**(-13\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n**4 + 275*n**3 + 515*n**2 - 795*n = 0 for n.\nAnswer: -53, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -956*d**4 + 22*d**3 + 3*d**2 - 2*d + 2601194.\nAnswer: -3824*d**3 + 66*d**2 + 6*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*q + 5 = 12*a - 8*a - 9*q, -78*a + 5*q - 93 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 360209 a multiple of 415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-21) + 72\/7. Suppose 5*x = 4*r - 4, -2 = -5*x - 0*r - 2*r. Put q, -4, x in decreasing order.\nAnswer: q, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2482*r**2*u**3 + 7*r**2*u**2 + 9*r*u**2 wrt u.\nAnswer: 14892*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1763 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/60)\/((2\/(-48))\/(183*29\/174)).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 2*r = -4, 218*r = 217*r - 2 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 4*b + 7, 2*b + 19 = -o + 6*o. Suppose -o*i + 61 - 16 = -5*w, -2*w - 16 = -i. Calculate the greatest common divisor of i and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3251254322?\nAnswer: 2, 29, 79, 313, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 2304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 4. Let s = 8 + -8.4. Which is the closest to -2? (a) 4 (b) s (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/1*(-45)\/10. Calculate the highest common divisor of z and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 2, 207 in descending order.\nAnswer: 207, 2, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2401 rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 6*i + 18 = 0. Suppose 3*g = c - 14, -6*c - i = -5*c + 5*g. What is the derivative of 18*j**4 + c + 2*j**2 - j**2 - j**2 wrt j?\nAnswer: 72*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 - 71*v**2 + 251*v + 5252. Give t(66).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 7:00 AM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 32 = -5*g, -3*c - 31 = -16*g + 12*g for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -2.2. Let l = -0.008498 + 0.058498. Sort l, c, -2 in decreasing order.\nAnswer: c, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q**3 + q**2 + q + 4. Let a(g) = -4*g**3 + 2*g**2 + g + 7. Let b(p) = -3*a(p) + 5*y(p). What is the tens digit of b(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11906 is divided by 361?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7693587917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**2*w**3 + 480*b**2*w**2 + 64*b*w**3 wrt b.\nAnswer: -2*w**3 + 960*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20470 is divided by 1976.\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.1 - -4.79. Let x = 16042.309932 - 16042. Let g = m + x. Round g to 5 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g + 8. Let o be w(6). Suppose -11 = 2*n + q, o*n + 26 = -0*n - 4*q. Does 7 divide 6\/(-18) - 31\/n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from lollo.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 7, y: 7, q: 5}. What is prob of picking 1 v and 3 y?\nAnswer: 245\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 + -21. Let w(v) = v**3 + 6*v**2 - 8*v + 1. Let m be w(i). Let s = -6 + m. What is the highest common factor of 5 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -66*a**6 - 2844*a**5 + 2*a**3 - 27873*a**2 + 33.\nAnswer: -7920*a**3 - 170640*a**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*j**2\/7 + 159413394*j - 14824034275516221 = 0. What is j?\nAnswer: 185982293","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 - 3*c**2 + 4*c + 9. What is the lowest common multiple of 30 and f(-5)?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*x + 2*x. Let n be x\/(-18) - 47\/(-9). Suppose 2*c - n*i = 0, -c + 3*i = 8*i - 30. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*c + 1410 = -14*c. Let d(x) = -x**3 + 14*x**2 + 17*x - 5. What is d(c)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 2:08 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 655994 = -466*j + 504*j. Is j a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 4*k - 25778 - 15046, 3*k = -15. What is the ten thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five eighths of a century?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 344418661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*g)*(0 - 44 + 5) + (-2*g + 6*g - g)*(0 + 1 + 0) + (-4*g + g + g)*(2 - 1 + 1) + g - 1 + 1 - 2*g - 2*g + g.\nAnswer: -81*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 348253462.\nAnswer: 2, 174126731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 8*x**3 - 4*x**2 - 1. List the prime factors of n(2).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 493424 is divided by 133?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**5 + 5347618*g**4 + 21390492*g**3 + 32085748*g**2 + 21390502*g + 5347626 = 0. What is g?\nAnswer: -1, 2673813","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 114, -2 in decreasing order.\nAnswer: 114, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 38906 and 70?\nAnswer: 194530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9251*j*q**3*w - 3*j*q**3 + 4*j*q**2 + 98*q**3*w - 20181*q**3 + 3 wrt w?\nAnswer: 9251*j*q**3 + 98*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87701 - 86699 = -8*j. What are the prime factors of j?\nAnswer: 2, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u. Let q(p) = -1674*p**2 + 8. Determine q(c(z)).\nAnswer: -1674*z**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((396\/135)\/11)\/(((-48)\/(-5))\/(-8)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/468 and -129\/24388.\nAnswer: 219492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l. Let y(n) = 3*n**2. Let t(w) = 2*w**2. Let q(k) = -5*t(k) + 3*y(k). What is q(a(h))?\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - (0 + -2)) + 121 + -131?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-35046)\/(-354)*(-3)\/27\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 314*t - 11134 = 180*t + 29066. Solve -24 - t = 81*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -116, -908, -3050, -7214, -14072?\n\"Answer: -112*m**3 - 3*m**2 + m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 299692427*s**2 + 261072925*s wrt s?\nAnswer: 599384854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**3 + 38*d**2 - 24*d + 317. Give s(-20).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-3)*k*k**(-7)*(k\/k**0)\/(k\/((k*k**(-3\/5))\/k)) assuming k is positive.\nAnswer: k**(-48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/138 and 19\/256218.\nAnswer: 5893014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-1\/12)*g**(1\/4)*g*g**(-1\/9)*g*g**(-5\/7))**(28\/5) assuming g is positive.\nAnswer: g**(118\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8016 and 480?\nAnswer: 80160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -3*g**2 + 24*g + 8. Let p(x) = -7*x**2 + 48*x + 15. Let b(z) = -9*o(z) + 4*p(z). Let r be b(-23). Calculate the highest common factor of 11 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11223332 + -1?\nAnswer: -11223333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-65)\/10 + -2)*(-3 + 1). Find the third derivative of -17*d**3 + 4*d**6 + a*d**3 - 14*d**2 wrt d.\nAnswer: 480*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/3*6\/(-4). Factor 0*c - 2\/3*c**4 + 0 + 0*c**3 + 2\/3*c**q.\nAnswer: -2*c**2*(c - 1)*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 1847.\nAnswer: 3694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -9339606 and -9339604 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o - 1. Let l be i(-9). Suppose l*r - 5*r = 0. Solve r*q + q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3207 is divided by 3196?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a century in decades?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 81\/4 of a milligram?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 610354659 + 16.86?\nAnswer: 610354675.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.7 - -2.98. Let f = a + -0.27999965. What is f rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ud when two letters picked without replacement from uuuduuuduuduuuuuuudu?\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-f - 3*f + 3*f)*(0*f**4 - 2*f**4 + 3*f**4) - 2*f**5 + 0*f**5 + f**5)*(332 - 194 - 376).\nAnswer: 476*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-600)\/240*(12\/65)\/(-3)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 2700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - 8*q**2 + 7*q + 1. Give u(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x + 13*i - 14*i + 9, -2*x = -4*i - 4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 4*m**2 + 8*m + 9. Let k be p(-4). Suppose 0 = i - k + 13. Let r = 319\/92 - -110\/23. What is the common denominator of i and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5421411 + 2015?\nAnswer: 5423430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12051?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 175129 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 3*y = -2*y - 17, 0 = -5*y - 15. Suppose -4*u = -g*q + 15, 0*q - 1 = q. Does u = -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*o**4 + 3*o**4 + 0*o**4 + (1 + 3 + 1)*(-o**4 + 3*o**4 - 3*o**4) - o + o + 2*o**4 + (4*o + o**3 - 4*o)*(-1 + 3 - 3)*(0*o + o + 8*o).\nAnswer: -15*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-1\/8))**(-8\/7) assuming i is positive.\nAnswer: 1\/i","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of -p**5\/60 - 3*p**4\/8 - 5*p**3\/3 + 2*p**2. Is 4 a factor of r(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 47*k - 2. Let s(a) = -46*a + 2. What is 3*s(w) + 2*z(w)?\nAnswer: -44*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 124065\/(-72) - -1 - 2\/(-16). Let t = 1725 + y. Let q be ((-6)\/15)\/(6\/10). Which is the biggest value? (a) t (b) q (c) 0 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of -o**4\/3 - 58*o**3\/3 - 240*o**2 - 285*o + 2. Factor f(d).\nAnswer: -4*(d + 5)*(d + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.33115 kilograms in tonnes?\nAnswer: 0.02833115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -88880 divided by 1616\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-148)\/2 + 31 + 159 + -179?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -351839, -1407356, -3166551, -5629424?\nAnswer: -8795975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -4*d + 24. Solve -4 - d = -4*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 - -15. Suppose 0 = j + a, 0*i + 20 = 3*i - 4*j. What is the tens digit of -83*(4 + (-20)\/i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1296 is divided by 1271.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(2\/29)*n*n*n\/(n\/(n**(2\/19)*n)*n))\/(n**(-4))**5 assuming n is positive.\nAnswer: n**(12769\/551)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-34)\/(-51) + 82\/(-6). Let x be 11\/1 + l\/13. Suppose 4*v**4 + 3*v + 0*v**2 - 4*v**3 + 14 - x + 2*v**5 - v - 8*v**2 = 0. Calculate v.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 50374*c*n**3 - 3*c - 61*n**2 - 19*n - 1 wrt n?\nAnswer: 302244*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = b + k, -b - k = b - 7. Suppose 2*x - 12 = 3*x + 3*a, 0 = 2*x + b*a + 12. What is v in x*v + 2\/3*v**3 + 2\/3*v**5 + 0*v**2 + 0 + 4\/3*v**4 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 6 = 3*q. Let z(w) = 16 + 2*w**2 - 3*w**q + 21 + 22*w - 7*w. What are the prime factors of z(16)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 303 is divided by 281?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0079484873 to six decimal places.\nAnswer: 0.007948","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -47166+-0.11\nAnswer: -47166.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 AM and 6:04 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.075 + -0.075. Which is the closest to u? (a) 0.08 (b) -5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**2\/23 - 10*s\/23 + 28\/23 = 0. What is s?\nAnswer: -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101001011011001011000 (base 2) to base 6.\nAnswer: -45032132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 4*b - 46, 108*b = -2*n + 104*b + 32. Solve -n*x + 11*x = 12 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2576.8036 rounded to the nearest 10?\nAnswer: 2580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(143) + (sqrt(143) - 4*sqrt(143)) - sqrt(143))*5 + sqrt(143) - sqrt(143))*-4)\/((sqrt(77)*1)\/sqrt(7) + -5*sqrt(44)\/sqrt(4)).\nAnswer: -15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 195870849 to the nearest integer?\nAnswer: 13995","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3482 divided by 2\nAnswer: 1741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.156 + -90.844. Let o = 48 + m. Do o and -0.1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 12\/25 of a day?\nAnswer: 41472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 96643 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -4*q - 18, -2*q = -4*d - 4*q + 36. Suppose -2*u = -4*u + d. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/2130550 and -64\/2343605.\nAnswer: 23436050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 14*v + 1. Let u(o) = -5*o. Let y(f) = 11*u(f) + 4*w(f). Let q be y(4). Let k be -3 + (-4)\/q*-10. Solve 2*r - 2*n + 5 = 3, -k*r = -4*n + 12 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -2. Let x = -5723\/25 - -229. Let h = 44\/75 + x. What is the third biggest value in h, a, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 880 is divided by 437.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*m - 20. Suppose -p = -m*t + 9, -5*p - 1 = 3*t + 8. Suppose -2*q - 4*s + 26 = 8, q = 3*s - 16. Which is bigger: q or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1804.49 times -37\nAnswer: -66766.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide (28\/42)\/((-2)\/(-648))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 32.9725 to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2.301 - -2\nAnswer: 4.301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 - 15*c**2 + 26*c - 134. What is the lowest common multiple of x(-19) and 16?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8\/3? (a) -3.1 (b) -1.46 (c) 3 (d) 19\/3 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 57.9 - 47. Let c = -0.049 + -29.151. Let h = c + w. Round h to the nearest integer.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 7*x - 5. Let i be m(-4). Let u = i + 54. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4137, 32378, 108961, 258036, 503753, 870262?\nAnswer: 1381713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -10616*n - 159245. Give f(-15).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(3\/5)*((u\/(u*u*(u*u\/u**3)\/u))\/u)\/u)**(-2\/45) assuming u is positive.\nAnswer: u**(4\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + 3*l**2 + 4*l + 2. Suppose u = -2*v + 9, -5 = -0*v + 5*v - 3*u. Let n(d) = 2*d**2 + 3*d + 2. What is v*o(t) - 3*n(t)?\nAnswer: 2*t**3 - t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.029 - -33638212.\nAnswer: 33638211.971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-6)*69\/23?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**6)**(-44\/7)*k*k*k**(-12)*k*k**(1\/8)\/k assuming k is positive.\nAnswer: k**(-431\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + -10. Solve 4 = -4*c - 3*s, v*c - 3*s + 24 = -c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 4*r - 11. Let d be q(6). Let n = 23 - d. Calculate the highest common factor of n and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -103 + 2*b**2 + 10*b**3 + 4*b**2 + 103 as c + j*b**2 + k*b**3 + z*b and give k.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 62449 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one halves of a decade?\nAnswer: 1260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 30937 = -5*y, -3*m - 4883 = -3*y + 13672. Let j = y - 129898\/21. Calculate the common denominator of -29\/18 and j.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 5*j**2 + 9*j + 10. Calculate y(-5).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5202, -5213, -5238, -5283, -5354, -5457, -5598, -5783?\nAnswer: -6018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 116 + -72. Let m = q - 45. Let l = 607 + -602. What is the fourth biggest value in -2\/9, m, l, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2590.\nAnswer: 2, 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uun when three letters picked without replacement from uuuuuununuuu?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -34*z + 635. Determine g(20).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from kkkkkkbkkbkkkkb.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -4*g + 2*u + 100, -3*u - 54 = -g. What is the greatest common factor of g and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*z - 2*h, 0 = -z - 2*h - 2*h - 12. Suppose -4*o = -3*v + 45, 30 = v + v + z*o. Calculate the lowest common multiple of v and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*i = 49762 - 53040 for i.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -4*b**3 - 40*b**2 + 34*b + 6. What is l(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*c - 303 = 16 + 290 for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + f + 4 = 12, -11 = -5*r + 2*f for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 3037 - 1608 = 0. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 3*r + 5, -r - 1 = 2*g - 6. Suppose g*w = 4*z - 44, -3*w + 0 = 3*z - 3. Let i = -145 - -142. Put 3, i, z in increasing order.\nAnswer: i, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -216*p + 218*p - 4*p**3 + 7*p**3 + 2. Let k = -497 + 495. Let y(b) = -48*b**3 - 33*b - 33. What is k*y(g) - 33*r(g)?\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 253 a factor of 16208192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -93 + 215. Let x = -6645 - -6654. Suppose 10*p - c = x*p. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 6 = -2*i, 5*v + 5*i = 150. Let a(l) = l + v - 32. Let h(o) = -26*o**2 - 31*o**2 + 56*o**2. Give h(a(m)).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11284828\/13 < 868064?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 70\/426623 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 7:26 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -3*d**2 + 109*d. Let f(g) = 2*g**2 - 54*g. Give -7*f(v) - 4*l(v).\nAnswer: -2*v**2 - 58*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -55*t**4 - 5*t**3 + 37*t**2 + 3*t + 2?\nAnswer: -1320*t - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (10 - (-14 - -15 - -10)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -106\/7, -0.5, 0.5, 2, -0.2 in decreasing order.\nAnswer: 2, 0.5, -0.2, -0.5, -106\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 4515?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 45409 = -y, 4*y - 8*y - 56764 = -5*a. List the prime factors of a.\nAnswer: 2, 3, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 10 = -9*l. Let f be (87\/(-12))\/l + (-21)\/(-28). Calculate the highest common divisor of f and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/(-15) + (-57)\/(-117). Which is bigger: -1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 76940 to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.16 - -2.16. Put -2\/3, 0.5, r, 4 in ascending order.\nAnswer: -2\/3, 0.5, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 3) + 0 + (-15 - -9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -2170, -3, 0.4 in descending order.\nAnswer: 0.4, -3, -7, -2170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 11 = -7*l + 4*l, 4*l + 2*n - 16 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42966, 43607, 44262, 44937, 45638?\nAnswer: 46371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*g + 95*g + 198 = 0. Let d be (33\/g)\/(11\/(-54)). Do 1 and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6 (b) 4 (c) -2\/12147 (d) 1\/17 (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.9 (b) -0.084 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 5*c**2 - 11*c + 6. Let f(m) = 6*m**2 - 12*m + 6. Let j(k) = 5*k**2 - 10*k + 5. Let r(d) = -4*f(d) + 5*j(d). Determine -2*b(v) + 11*r(v).\nAnswer: v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63615 divided by -3.\nAnswer: 21205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.48603 to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 576 is divided by 155?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -0*y - 60. Let u = y - 16. Suppose 5 = 4*r + 1. What is the highest common factor of r and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*(c*c**(-23))\/c))\/c**(2\/63)*(c*c*c**21)\/c*c*c\/(c**(-17)\/c) assuming c is positive.\nAnswer: c**(4093\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(147))**2*-1.\nAnswer: -1323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of 20 - 2*r - 13\/3*r**3 + 0*r**2 + 1\/6*r**4. What is g in n(g) = 0?\nAnswer: 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 346293.\nAnswer: 3, 109, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 5*s = -5, -2*b - 12 = 3*s - 0*s. Let p be b\/(-6) + 549\/2. Suppose -35 + p = 2*u. Calculate the highest common factor of 15 and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -5*z**3 + 4675*z**2 - 1095115*z + 1090445 = 0.\nAnswer: 1, 467","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -465164, -465193, -465242, -465311?\n\"Answer: -10*o**2 + o - 465155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - 5*h**2 + 37*h + 85. Calculate m(-8).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 - 0 - (-18117)\/11 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a year in months?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2797 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7 - 21\/(-2 - (-1 + -4)). Find x, given that -1\/11*x**3 + 0*x**2 + 4\/11*x + o = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*t**2 - 4*t**2 - 2 - 2*t**2)*((-1 + 1 + 1)*(t - 5*t - 5*t) - 4*t + 30*t - 7*t) in the form f*t**3 + a + p*t**2 + x*t and give f.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - 7*w**2 - 9*w + 9. Let k be z(8). Let u be ((-3)\/(-3) + -2)\/k. Let t = u - -3. Solve t = -j + 2*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20907 + 7661. Does 6 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 + -5869.95\nAnswer: -5870.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -n**2 + 10*n + 83 wrt n?\nAnswer: -2*n + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3432.78*-0.1.\nAnswer: -343.278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -863.6089 rounded to the nearest ten?\nAnswer: -860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 798 and 1583302?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -42412846 greater than or equal to -42412875?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 189 + -183. Calculate the remainder when 125 is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 0*t**2 - 2*t**2 - 17 - 2*t**2.\nAnswer: -4*t**2 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 5*w = 20, -38 = 4*o + 4*w - 10 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2735 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-16)*h)\/h)\/((h**(-7)*h)\/h))**(1\/22) assuming h is positive.\nAnswer: h**(-9\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12066396 a multiple of 2017?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 302034 is divided by 92.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005144364479 rounded to 7 dps?\nAnswer: -0.0005144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + x. Let f(d) = -6*d**2 + 5*d + 0*d + 3 + 2*d**2. Let i(l) = 12*l**2 - 16*l - 10. Let r(p) = -14*f(p) - 4*i(p). Calculate -r(j) - 6*w(j).\nAnswer: -2*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1687 - 835 - 852 + 0*i**2 + 2*i**2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46334?\nAnswer: 2, 23167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 22*d**2 + 13*d - 25. Let k be h(2). Factor 319 - k + 2*o**2 - 72 - 86 - 24*o.\nAnswer: 2*(o - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38)\/4 - 62520\/8336.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1.5 times 0.3\nAnswer: 0.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1730413 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2953*w**3 - 2088 with respect to w.\nAnswer: 8859*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.2 and -2250?\nAnswer: 2249.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/3, -0.5, -113, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 5 = -2*x. Suppose -3*y + 283 = -x*p, -2*y + 3*y - 2*p - 95 = 0. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 121009*0.4.\nAnswer: 48403.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 19 = -3*j - 67, 4*p = -4*j + 72. Solve 8*i = 3*i - 5*y + p, 4*y = 3*i + 16 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 18*w - 16*w + 170, -2*a - 5*w = -126. Let z(q) = -28*q**3 - q. Let t be z(-1). Calculate the greatest common divisor of t and a.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of a**9\/216 - a**5\/20 - 7*a**3\/6 - 15*a. Let p(g) be the second derivative of t(g). Find the second derivative of p(d) wrt d.\nAnswer: 280*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -173\/4 + 43. Let v = 58 - 58. What is the nearest to b in 8, -5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 33 (b) 2 (c) 0.5 (d) -1751 (e) 3 (f) 15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 + 8*x + 6. Suppose 3*s + 59 = -3*t + s, -3*s - 60 = 3*t. Let h = 14 + t. Give n(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/(-6))\/4 + (-3)\/9. Suppose -4 = -3*f + 5*f, 2*n - 2*f - 10 = 0. Factor -6\/5*d - 9\/5*d**2 - 3\/5*d**n + w.\nAnswer: -3*d*(d + 1)*(d + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17404 is divided by 355?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -1a9b93?\nAnswer: 1a9b94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 1686.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -387406 + 268472627\/693. Let g = -4\/99 - d. Let v = -2.4 + 2. Which is the third biggest value? (a) v (b) g (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20802 and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/23)*z*z)**32\/(z*z**0)**(-3\/7))**38 assuming z is positive.\nAnswer: z**(411198\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-856)\/(-96) - 9)*-9. Which is the nearest to 2? (a) k (b) -0.1 (c) 5\/3 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59299952 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a centimeter in micrometers?\nAnswer: 64000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -9*77343\nAnswer: -696087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 149019?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 13) to base 11.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 355371 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = -3*p + 3*f + 18, 0 = 2*p - 5*f - 5. Suppose 0 = -5*t, p*t = s - 0*t - 2. Solve 2*h + 0*h = -2*u - 2, 8 = -s*h + u for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g + 1. Let i(u) = 12*u - 10. Give 2*i(a) + 22*o(a).\nAnswer: 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*m*n**2*t**2 - 5*m*n**2 - 73*m - 98*n**2*t + n**2 + t**2 wrt t?\nAnswer: 4*m*n**2*t - 98*n**2 + 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(5\/14)\/h**(-41)*(h**(-46)\/h)\/h**(-9\/7) assuming h is positive.\nAnswer: h**(-61\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*s - 17 + 17)*(-11559 - 157*s**3 + 11559)*((-3 + 4 - 2)*(4 - 4 - 2*s) + 0*s - s + 3*s + 0 + 14*s + 0 + 4*s).\nAnswer: -20724*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 168 - 937 = -2*k, 4*i + 4*k = 1024. List the prime factors of i.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rerwezewxrrewevwee. What is prob of picking 1 v and 1 e?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 533929 is divided by 39?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -52.800772 rounded to zero dps?\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + y = 5*w - 1026, 3*y = -6. Let l = -38 + w. What are the prime factors of l?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 - 38*p - 748. Does 17 divide q(-51)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 4*i + 7 = 5*u, 5*i + 9 = -u. What is the highest common factor of 1 and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a centimeter in micrometers?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2057*d - 738634. What is n(359)?\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11630260.6 - 3.15381.\nAnswer: 11630257.44619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 655*n. Let w(v) = -v. Determine x(w(b)).\nAnswer: -655*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5874*g**3 - 23212*g**2 wrt g.\nAnswer: 35244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**1\/o)**(1\/23)\/(o\/(o\/((o*o*o**(2\/5))\/o*o)))**50*(o**8\/o*o*o**(-1)\/o)**43 assuming o is positive.\nAnswer: o**(3175\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -170 + 2*y + 41*y**2 - 103 + 270 to the form n*y**2 + p*y + i and give n.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g**2 + g**2 - 2*g**2 + (-2*g + g + 0*g)*(3 + 2*g - 3) in the form x*g + z + u*g**2 and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by 3461.\nAnswer: 10\/3461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 3*sqrt(684) + 2 - ((-1 + sqrt(684))*5 + -3).\nAnswer: -12*sqrt(19) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 6 = 2*a. Let t(m) = 4*m + 38. Let j be t(6). Let v = j - 58. Solve -v = 2*b + a for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26214092 a multiple of 351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4616 is divided by (5 + (-10)\/20)*14\/(-6)*-4.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d - 2*d - 9 = 0. Let n = -663\/7 - -95. Which is smaller: n or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 986 and 1923992.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by 5082.\nAnswer: 3\/1694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2790 and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*t + 3*t**3 - 6*t - 8*t + 2*t**3 + 0*t.\nAnswer: 5*t**3 + 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b**2 + 2*b**4 - 623*b**3 + b - 2 + 7*b**2 + 621*b**3 to u*b**2 + x + j*b**3 + a*b**4 + m*b and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 3*r + 3, 3*c + 2 = -7. Suppose -75 = -2*g + s - 4*s, -r*s - 32 = -g. Let n be -6*3\/21*-28. Calculate the greatest common factor of g and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + 0 + 0)*(-z**3 - 2*z**2 + 2*z**2) + 53*z**4 - 55*z**4 - 75*z**4 - 11*z**4 + 6*z**4 - 14*z**4.\nAnswer: -98*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1744 + -0.7256. What is the nearest to -1 in 6, x, -1\/3, 0.2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = -8*h. Suppose -13 - 24 = -o - 5*j, h = -4*o + 3*j + 33. Calculate the greatest common divisor of 6 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38593 to the power of 1\/2, to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 20 = 3*p, 3*p + 55 = 6*w - w. Let g = p - -13. Factor 35*j**5 + 27 - 45*j**2 - 25*j - 175*j**2 - 10*j**4 + g - 210*j**3.\nAnswer: 5*(j - 3)*(j + 1)**3*(7*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 + a - 5. Let b(y) = -y**2 + y - 3. Let f(n) = 11*b(n) - 6*v(n). Let k be f(4). Let d = -30 - k. Does 19 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2878957199?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 180*d**3 + 308*d**2 - 292*d**2 - 9*d - 15*d - 190*d**3 to the form s*d**3 + t + i*d**2 + q*d and give q.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -4 (b) -0.3 (c) 50 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x + 4*x - 14 - 51.\nAnswer: 6*x - 65","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 241*l**2 + 88*l - 199. What are the prime factors of n(9)?\nAnswer: 2, 89, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-5)*(90\/490)\/9.\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 119 = -v - n, -5*v + n = -121. Calculate the common denominator of -71\/3 and 6\/v + (-111)\/44.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of 56*a**5\/5 + 11*a**2\/2 - 4633*a + 603. Differentiate c(m) wrt m.\nAnswer: 224*m**3 + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-7\/5))\/(n\/(n\/(n**(-2\/3)\/n*n))) assuming n is positive.\nAnswer: n**(46\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*h + 55*h = 2360. What is the remainder when h is divided by 37?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/6966 and -91\/123066?\nAnswer: 369198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/60669 and 52\/132573.\nAnswer: 3579471","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 5*c + 11 = 5*n, -84 = 5*c + 4*n. Let z = -6 - c. Calculate the highest common divisor of 20 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 41*m**2 - m - 1. Let i(o) = -o + 13. Let q be i(12). Is n(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -1. Let t = 1150 + -1149.5. Which is the third smallest value? (a) f (b) -0.1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.69 plus -0.16?\nAnswer: 6.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 360401110 to the power of 1\/2, to the nearest integer?\nAnswer: 18984","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - -22. Suppose -m - z = -4*m. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 PM and 5:03 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/574142 and -41\/1269156.\nAnswer: 24113964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + x - 4*t = -12, 2*x - t - 19 = 0. Is (-2)\/(-8) - (-998)\/x a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 4) in base 7?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 4*p**2. Let a(m) = 3*m + 106. Calculate a(q(l)).\nAnswer: 12*l**2 + 106","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13671, -55017, -124047, -220761, -345159, -497241, -677007?\nAnswer: -884457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24315?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.16 + -0.16. Let x = -0.02 - w. Let y = 3 - 4. Which is the biggest value? (a) y (b) -1\/2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*v - 380 = 77*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 5*t + 0*t + (-3*t + 3*t - 2*t)*(-1 - 1 + 1))*(-t**2 - t**2 + 0*t**2)*(4*t**2 - 352*t + 352*t).\nAnswer: 8*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*r + 156 = -83*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1776 divided by -4.\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1132828 - -1132615.0159. Let n = 213 + r. What is n rounded to three dps?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 4*n = -711 + 295, -5*h = 4*n - 529. Let c(r) = 21*r + 105. Let z(o) = -1. Give h*z(l) + c(l).\nAnswer: 21*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2 + 326104*d + 26585954704.\nAnswer: (d + 163052)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -137\/189 - -17\/27. Suppose -4*l + 1 - 9 = 0, -5*q + 16 = 2*l. Let g be q\/10 + 18\/(-18). What is the third biggest value in -1, g, s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/4*(-116 + 86). Solve 12*u = o*u - 12 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14.7011 + 14.5011. Let j be 3\/3 + 1 - -2. Which is the smallest value? (a) h (b) -0.3 (c) 1\/49 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(8820\/(-8)))\/((-133)\/931).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a - 614 - 202 = 0. Suppose 12*n - a = -20. What is the least common multiple of n and 41?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 4. Suppose b = -2*d + 18, -l*b - 54 = -5*b + 4*d. Let k = b - 14. Solve 11 = -k*c + 5*o, -3*c - 2*o + 10 = -6*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.4, 0.9, -1, -3, 0.3, -6, 13\/4?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 3)*(-2 + 3 + 0)*(3*r - 34*r - 72*r).\nAnswer: -103*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from llllollooll?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 57\/21) + (-304)\/(-112)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + -5 + (-141)\/(-3). What is the highest common factor of 15 and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 801066.\nAnswer: 2, 3, 7, 19073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 100020?\nAnswer: -100012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k + 3 = 9*k, 2*s = -k + 5. Suppose 1 - 2*c**s + 5*c**3 + c**4 - 5\/2*c**5 - 5\/2*c = 0. Calculate c.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 55442585 to the nearest integer?\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 187*i. Let s(c) = 43*c**2. Calculate o(s(n)).\nAnswer: 8041*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21168 and 9261?\nAnswer: 148176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*t - 1969 + 118275 = -2446. Is t a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*b - 80 - 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 5)*(6*j**3 - 4*j**3 - 4*j**3 + 0*j**3 - 2*j**3 + 4*j**3 + (-3*j**2 + 4*j**2 - 2*j**2)*(2*j - j + 0*j)).\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1659 and 1501?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 18 = 3*b, 3*b - n + 2 = -2*b. Let s be 2 + b - (-4 - -1). Suppose 0*r = s*r - 24. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w**(-6\/25)*w)*w)*w)\/w*w**31 assuming w is positive.\nAnswer: w**(769\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*v**2 - 9*v**4 - 2*v**3 + 7*v**3 + 8*v**4.\nAnswer: -v**2*(v - 3)*(v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -288 + 90. What is the closest to 0.1 in i, 2, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*j**2*n*r**3 + 12*j**2*n + 3*j**2*r**2 - 27*j**2 - 20*j*n*r**3 + 3*j*n*r - 79*n*r**3 - n*r wrt j?\nAnswer: -6*n*r**3 + 24*n + 6*r**2 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**3 - 3*y**3 + 0*y**3)*(5*y - 2*y - 2*y) - 10 + 10 - 2*y - 2*y**4.\nAnswer: -3*y**4 - 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2991\/17 - 176. Suppose -3*c - 15 = -3*t, 0 = -3*c - 150*t + 155*t - 25. Is c at most as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 7:23 PM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 11133\/(-117) + (-4)\/(-26). Let t = c - -151. What is the tens digit of 2 + 0 - t*-1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -391 - -199. Let b = c + 187. Sort -4, b, -35 in descending order.\nAnswer: -4, b, -35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(117)*1 - sqrt(117)))\/((sqrt(90)\/sqrt(2))\/sqrt(5)) + ((sqrt(104) + 4*sqrt(104) + sqrt(104))\/sqrt(8) - -6*(sqrt(26)\/sqrt(2) + sqrt(13))).\nAnswer: 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -66*l**3 - 3*l**2 + 17*l + 12. Let z be a(-6). What are the prime factors of (-1)\/(3513*12\/z - 3)?\nAnswer: 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 - (-2 - 9 - 18) - (1 + 0)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 m when four letters picked without replacement from {m: 4, b: 7, l: 3}?\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -237*t**2 + 2*t**3 + 95046733 - t**3 - 95046734 to b*t + y*t**3 + r + a*t**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 2214.3933 months?\nAnswer: 0.184532775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 12140 = 8*c. Let f be c + (-4)\/((-4)\/3). Suppose -4*r + f - 31 = 0. Round r to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2856, 5802, 8738, 11664, 14580, 17486?\n\"Answer: -5*n**2 + 2961*n - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 t when two letters picked without replacement from {t: 1, y: 10, c: 6}?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 37*t**3 + t**2 - 3*t + 2. Let r be u(2). Let p = -211 + r. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 44 = -4*f, 6*w - w = f - 51. Let y be ((-189)\/35)\/(3\/w). Is y smaller than 71\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 20*l**3 + 1565*l**2 - 4875*l = 0.\nAnswer: -325\/4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dxd when three letters picked without replacement from {e: 3, d: 5, l: 1, x: 2, f: 5}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 791416139 is divided by 318?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8723 and 2379?\nAnswer: 26169","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 3)*(-39669 - 21297*q + 79338 - 39669).\nAnswer: 42594*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -73 divided by -73\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9548?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a**6 + 4*a**5*w**2 - 8*a**2*w**2 - 2*a**2*w wrt a.\nAnswer: -240*a**3 + 240*a**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11348, 22700, 34072, 45464, 56876?\nAnswer: 68308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 + 15*o - 14. Let i(d) = -3*d**2 - 91*d - 40. Let k be i(-30). Calculate b(k).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3949 - 1704 - 13565 - 3931 + 1444 - 5377)*(0 + 0 - 2*t).\nAnswer: 54164*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 201.308787 microseconds?\nAnswer: 0.0000000023299628125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1311d0c (base 14) in base 9?\nAnswer: 18251735","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*p + 12*p - 8*p**5 + 9*p**5 + (-p + 0*p - 3*p)*(p**4 - 4*p**4 + p**4).\nAnswer: 9*p**5 - p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 114 (base 16) in base 4?\nAnswer: 10110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72\/24 - -50*6.\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 229515 is divided by 419?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(1728) + sqrt(48) + sqrt(1728) + 1)*6.\nAnswer: 24 + 312*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12608 + 8378.1. What is i rounded to the nearest ten?\nAnswer: -4230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = 5*a - 25, 5*t + 3*a = -0*a - 25 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -351, 44, 3.\nAnswer: -351, 0, 3, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 PM and 5:36 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2 + -3 + ((sqrt(1088)*4*-6 - sqrt(1088)) + (sqrt(1088) - (sqrt(1088) - 3*sqrt(1088))) + 0)**2).\nAnswer: -1579761","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/55, -13\/3, -1, 1\/2, -5 in decreasing order.\nAnswer: 1\/2, -2\/55, -1, -13\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 4000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -2. Suppose -6*x + 2*o + 80 = -3*x, 0 = -m*x + 4*o + 48. Suppose -q + z = -7 - 9, -3*q + x = z. List the prime factors of q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/9*(-7 + (8 - 4)). Let u = -0.04 + -3.96. Let m = 4.4 + u. Which is the second biggest value? (a) m (b) z (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 20 = -d - 0, 4*s = -20. Solve 4 = -4*h, d*h - 12 = -3*y + 2*h for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (0 - (-2 + 0))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2120*y - 326502. Calculate u(-154).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/18 + 416\/(-72). Let t(b) = 5*b**2 + 2*b + 11. Is t(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 2\/(-2))*1\/(-2). Let g be -1 + i\/(-1)*13. What is the greatest common factor of 276 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*g**3 - 212 + 24*g**3 - 29*g**3 in the form s*g + u*g**2 + c*g**3 + w and give w.\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16433 + -14684. Calculate the least common multiple of 12 and f.\nAnswer: 6996","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -224*w**2 + 1 + 5 - 6.\nAnswer: -224*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 8 - 1 - (-4448 + 4463) - -11.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 433 is divided by 318.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-20)\/(-7))\/((-8)\/(-28)). Let k be (2\/(-4))\/((-3)\/(-60)). List the prime factors of 138\/a + (-2)\/k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of y**5\/30 - y**4\/8 + 11*y**3\/6 - y**2\/2 + 108*y. Let o(z) be the second derivative of d(z). What is o(-4)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 269 - 854 + 1676*b - 46*b**2 + 1678*b - 3354*b.\nAnswer: -46*b**2 - 585","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.6 (b) -2\/5 (c) 45 (d) -0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -15a743 + -34?\nAnswer: -15a777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00006269 to six dps.\nAnswer: -0.000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, 0, -3, 40.\nAnswer: -3, 0, 34, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*j - 54 + 3*j**2 + 4 - 8 + 21 in the form i + h*j**2 + d*j and give i.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1492 + 1508. Suppose 0 = -4*o - 2*d + 6, o = 3*d - 1 + 20. Let q = 6 - o. What is the greatest common divisor of q and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of -k**6\/120 + k**5\/15 - 5*k**4\/24 + k**3\/3 - k**2\/2 + 23. Let m(x) be the second derivative of f(x). Solve m(c) = 0 for c.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 - -24201?\nAnswer: 24207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*k - k - 2 + 9*k)*(-2*k**3 - 3*k**3 + k**3) to the form t*k**2 + d*k + c + l*k**4 + m*k**3 and give l.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*u**5 + 2 + 2*u**5 + 12*u**3 + 11*u + 3 - 8*u**5 - 1 wrt u.\nAnswer: -80*u**3 + 72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -175122 - -5?\nAnswer: -175115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 18 = 4*f, 5 = -5*z - 10. Let y(r) = 0*r**3 - 3*r**2 + 5*r + 8*r**2 - r**3 - 1. Give y(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 2 (c) 0.223 (d) -3 (e) -0.1598\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 93771535?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 4:14 AM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1)*(2*m - 4 + 4)*(5 - 6 - 2)*(-2*m**2 - m**2 + m**2).\nAnswer: -24*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 107 - 22. Calculate the highest common divisor of 51 and f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12363843?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(187)*3*-6)\/(3*(-3*sqrt(275) + sqrt(275)) + sqrt(275)).\nAnswer: -18*sqrt(17)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6258 and 5622?\nAnswer: 5863746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 170375.86 to the nearest 10000.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 - -46. Is 26 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 8. Calculate the highest common divisor of n and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177 - 414 = -3*c + 39. Let j be (-3)\/6*4\/2. Calculate the remainder when c is divided by -1 - (2 + j) - -21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**3 + 5*p**2 - 8*p + 4 = 0. Calculate p.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/4 - 2326*z**2 - 9303*z\/4.\nAnswer: -z*(z + 1)*(z + 9303)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 + 35. Let r = 20893\/8 - 2623. Calculate the common denominator of r and 118\/v - 4\/(-6).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 5470*v**3 - 5471*v**3 + 3 - 7 - 9*v**2 - 9*v. Let m(q) = -q - 8. Let p be m(0). Give d(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 402 + 405 - 150*x**2 - 807. Let b(j) = 81*j**2 - 33*j. Let w(z) = -5*z**2 + 2*z. Let p(t) = 2*b(t) + 33*w(t). Determine m(p(d)).\nAnswer: -1350*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*q + 72*q = -720. Let m = q - 18. Does 18 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3178, 12497, 27954, 49549?\nAnswer: 77282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -647 at least -648?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 2*a = 4*a - 10, 61925*t + 4*a - 32 = 61930*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 + 7*y + 9. Let x(f) be the third derivative of -f**5\/60 + f**4\/6 + 5*f**3\/6 - 16*f**2. Give -3*k(w) + 5*x(w).\nAnswer: -2*w**2 - w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of -3\/20*i**4 + 0*i**3 + 0*i**2 + 0*i + 1\/10*i**6 + 11 + 0*i**5. Factor q(u).\nAnswer: 3*u**3*(u - 1)*(u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3. Let q(j) = -7*j + 5. Let i(b) = b. Let g(o) = -6*i(o) - q(o). Let u = 71077 - 71072. Calculate u*l(n) + 3*g(n).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-15 + (-1925)\/(-132))*(-497)\/710\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*l**6 + 6178212*l**3 + 17037*l**2 + 65*l.\nAnswer: -360*l**3 + 37069272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 742552.\nAnswer: 2, 101, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/f**(-2\/7)*f)*f**(2\/9)\/f)\/((f\/(((f*((f**(-1\/3)*f)\/f)\/f)\/f)\/f))\/(f*f**(-2\/23))) assuming f is positive.\nAnswer: f**(-6497\/1449)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17941 - -18297. Solve -88 = p*w - 345*w for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 700*s + 581*s + 11929 = -587*s + 2019*s for s.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 132 - 122 = 0. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -326.644 and -9.\nAnswer: 2939.796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 1776 = -1650. Does 2 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-5) - (-168)\/15. Let m = -375 - -377. Solve 3*r + t = 0, 5*q + m*r - 7*r = 15 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 551325304 (base 6) to base 12.\nAnswer: 3380834","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2312809 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -6092, -6088, -6084, -6080, -6076, -6072?\n\"Answer: 4*p - 6096","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1040336 and 3.\nAnswer: -3121008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 9 = 11. Calculate the smallest common multiple of y and -1*(-1)\/2*14.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**5 + 2*q**5 - 4*q**5 + (-q**3 - q**3 + 6*q**3)*(-2*q**2 + 2*q**2 - 2*q**2) + 6*q**5 - 2*q**5 - 3*q**5.\nAnswer: -9*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 428.7691 kilograms in micrograms?\nAnswer: 428769100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 922642420 to the nearest integer?\nAnswer: 974","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 157398?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a - a + 6*a. What is b(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s**3 + 107*s**2 + 44*s - 115. Give z(-53).\nAnswer: 362","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 31499?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4725384 rounded to four decimal places?\nAnswer: 0.4725","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 873 - 576. What is the highest common factor of o and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/(-6) + 21\/((-630)\/(-110540))?\nAnswer: 5, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 6*v = -40. Suppose 5 = p - v. Let m(o) = -2*o - 9 + 4*o**2 - p*o**3 + 5*o + 2*o. Let j(y) = 3*y**3 - y**2 - y + 2. Determine 9*j(k) + 2*m(k).\nAnswer: k**3 - k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3569113, -3569105, -3569091, -3569071, -3569045, -3569013?\n\"Answer: 3*d**2 - d - 3569115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -1. Suppose 5*g - 60 = -5*x + 60, 3*g + 5*x - 76 = 0. Suppose g = d - 3*s, s = -b*d - 3*s + 34. What is the greatest common factor of d and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -200590*o**2 + 67376?\nAnswer: -401180*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.7 (b) 4 (c) -3\/5 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 1 - 6364*s**2 + 0 + 6365*s**2. Suppose -39 + 3 = -12*b. Suppose 5 = 3*k - 5*l, 3*k + 2 = l + b. Determine t(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -858 - -205. Let r = i + 670. Solve -15*k + 13 = -r for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/142043451 and 55\/4.\nAnswer: 568173804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56 and 119812.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l**2 + 42426*l + 42428*l - 127277*l + 42423*l.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 24 = 2*c, 53*c + 53*c + 4*g + 24 = 107*c for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12792654 and 301.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**2 + 70*j + 120.\nAnswer: 5*(j + 2)*(j + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/1640 and -1\/11?\nAnswer: 18040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*b**5 + 238*b**4 + b**3 - 422406*b.\nAnswer: 180*b**3 + 2856*b**2 + 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17105 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 10 + 3 - 8*a**3 + 5*a - 4 + 6*a**3 - 4*a**2. Let r(o) = 2*o**3 + 4*o**2 - 6*o - 10. Let m(w) = 7*d(w) + 6*r(w). What is m(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + (-30397)\/2034 + 1982\/(-36)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 231 + -234 + (0 - 3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 331?\nAnswer: -336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i - 3. Let o(x) = x + 29. Let l(j) = -1. Let b(y) = -5*l(y) + o(y). Let s be b(0). Let h be 5 - s\/8 - (-6)\/(-8). What is m(h)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31 - 29. Suppose 35 = -r*b + 4*b + h, -5*b - h + 86 = 0. Calculate the remainder when 49 is divided by b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3969*o + 8214 - 4966 + 19632 = -4409*o for o.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4 = -g - 22, -g = -1. Let u = 49 + z. Is 11 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 1614215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16303923871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of 3423*o**4\/4 - 2585*o + 3736. Differentiate f(m) wrt m.\nAnswer: 10269*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171212685.\nAnswer: 3, 5, 7, 1630597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 - 24. Solve -4*g - g = -y for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4384403 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 105216, 18.\nAnswer: -26, 18, 105216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 33776855383 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*x - 7*x = 42 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sgfg when four letters picked without replacement from {g: 12, f: 5, s: 1}?\nAnswer: 11\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from euomj. Give prob of picking 1 o, 1 u, and 1 m.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7483826177 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 PM and 4:01 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 6) in base 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 57318425203 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 523, 1046, 1567, 2086?\nAnswer: 2603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 376094 is divided by 188002.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 4*z + u + 56, 3*u = -5*z - 30. Let p(g) = -2*g - 2 - 2*g**2 + 2*g - 4*g. Let i be p(-3). Which is bigger: z or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 10639 = 3*l, 5*y - 9*y + 8514 = -l. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3220 divided by -644\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.011946006 to 5 decimal places.\nAnswer: -0.01195","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 918, 587, 256, -75?\nAnswer: -406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((((-3)\/(-1))\/423)\/((-2)\/12))\/1?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -1\/7*w**5 - 12\/7*w - 4\/7*w**2 + 4\/7*w**4 + 13\/7*w**3 + 0 = 0.\nAnswer: -2, -1, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45226 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2052 + -42?\nAnswer: 2010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8513 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 23862 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: Calculate prob of sequence pu when two letters picked without replacement from rcccrrjyyycjuup.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1051 - 993. Calculate the lowest common multiple of 12 and u.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 2*o - 60. Let j be 20\/o + (-80)\/(-3). Let v = j + -10. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33 + (-8 - -26) - ((1 - 3) + 1)\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*o**4\/7 + 326*o**3\/7 - 35204*o**2\/7 + 238794*o\/7 + 62640 = 0. What is o?\nAnswer: -145, -3\/2, 9, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/((-14)\/(-12) - 1). Let w be j\/21 + 366\/(-42). Let z = 18 - w. Calculate the greatest common factor of 3 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -140 from -7.6.\nAnswer: 132.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 10:18 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 73189869.06 + -0.811.\nAnswer: 73189868.249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31575*i*t + i*w**2 - t*w**2 + t*w - 828526*w**2 + 5*w wrt w.\nAnswer: 2*i - 2*t - 1657052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -72*b - 7. Let x be q(-16). Suppose 3380 = 5*l + x. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14117244889 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**5\/u)**(-12)*u**(-10)*u**(-6) assuming u is positive.\nAnswer: u**(-64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 3:19 AM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.2 and 3.622?\nAnswer: 3.822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8675.88 millimeters in meters?\nAnswer: 8.67588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - -29. Suppose d = 5*g + 32. Solve -p + 3 = g for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*c**3 - 9177*c**2 - 686358*c + 1409400 = 0. Calculate c.\nAnswer: -75, 2, 3132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 839224434?\nAnswer: 2, 3, 139870739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/160 and 103\/100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 62 - 82 - 5*-1255. What is the highest common divisor of 1112 and v?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 - 2404*g + 14421. Let f be i(6). Solve -35*q + f*q = 10 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 32936\/3173 and 11 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 20 - 340*m**3 + 276*m**3 - 14.\nAnswer: -64*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1 + 1 + 4 + (-1 + sqrt(450))**2)*3.\nAnswer: -450*sqrt(2) + 6825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -223*m**2 + 93*m**2 - 259*m**2 + m - 29 - 265*m**2 + 29.\nAnswer: -654*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*r - 3*r + 7*r)*(559*r**3 - 570*r**3 + 42 - 12).\nAnswer: 198*r**4 - 540*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3819840131 to the nearest integer?\nAnswer: 1563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, o: 3, x: 3}. What is prob of picking 3 x?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from pkppkpdppkdpkk.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 9 (c) -9\/35 (d) 7.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 50418000 to the nearest 100000.\nAnswer: 50400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 180 divide 156131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j\/j**7*j))\/j)\/(j*j**(-2\/3)*j))\/(((j\/j**(-4\/7))\/j)\/(j*j**(-3)\/j)) assuming j is positive.\nAnswer: j**(2\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -311005 + 310999.999978. Let d = p - -5. Round d to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2682, -5347, -7980, -10581, -13150, -15687?\nAnswer: -18192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - p + 0*p = -4, 2*b = 3*p - 12. Solve 5*u + 3 + 7 = b for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -167 + 36*x + 167 to c + q*x and give q.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1343134 (base 5) to base 2.\nAnswer: -110110100001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.5 - -5.2. Let h = k + 5.3. Sort -4\/3, -1\/2, 2, h in ascending order.\nAnswer: -4\/3, -1\/2, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-132))\/(82\/(-123))?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2972687 != -2972631?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 3*p**2 - 16 + 0 + 1 + 8. Let k(w) = 2*w**2 - 4. Let v(b) = 4*d(b) - 7*k(b). Let u(r) = -11*r. Determine v(u(c)).\nAnswer: -242*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -3 + -5 + 1 + 15 + -4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*(-4)\/(-12)*(-690 - 0). Let c be r\/136 - 45\/(-54)*-6. Which is smaller: c or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 79308, 79314, 79332, 79368, 79428, 79518, 79644?\n\"Answer: y**3 - y + 79308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*f**3 + 2*f - 57*f**3 + 133*f**3.\nAnswer: 18*f**3 + 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 114*q - 117*q + 5*r + 256481, 3*q + r - 256457 = 0. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a + 7. Suppose 0*b - 3*b = 2*r - 4, 2*r = -b. Let h(p) = 2. Let m(f) = b*n(f) - 7*h(f). Let t(u) = -5*u**2. Determine t(m(q)).\nAnswer: -20*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 PM and 7:24 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.417 - 0.013. Let z = 0.13 + x. Sort -1, 1, z.\nAnswer: -1, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + 28\/7 + -8?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 40 - 11?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -5*s + 19. Let g be 5\/10*2*10. Suppose -g - 3 = j. Is 28 a factor of y(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - 1)*(-60)\/12. Suppose 0 = 2*a - n*r - 24, 4*r + 5 + 11 = 0. Which is smaller: 2\/3 or a?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8017\/((-1)\/(-1)) + (-438)\/(-73) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20 bigger than -4642\/245?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.018 plus 473?\nAnswer: 473.018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -5.5. Let j = -1 - c. Let o = 43\/126 - 1\/18. Sort 2\/5, o, j.\nAnswer: o, 2\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 5*q**4 - 127070*q**3 + 820516220*q**2 - 166750924200*q = 0.\nAnswer: 0, 210, 12602","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 290 and 754*(-22)\/4*11\/(-121)?\nAnswer: 3770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/4 + 104*n**2 + 1239*n\/4.\nAnswer: n*(n + 3)*(n + 413)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -2, -0.01, -0.4, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 127, 158, 193, 232, 275?\nAnswer: 322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 1)*68\/16 + 4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 5*m**2. Let n(d) be the first derivative of 3*d**2\/2 + 4*d - 9101. Determine q(n(a)).\nAnswer: 45*a**2 + 120*a + 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -24*a*r**3*u + 15*a*r**3 - 2*r**3 - r**2 + 18*r - 227*u wrt u.\nAnswer: -24*a*r**3 - 227","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 49 = -n, 344 - 121 = 4*n + 3*i. Let z = -55 + n. Find the second derivative of -25*h**2 - 15*h + 40*h - 8*h**z + 25*h**2 wrt h.\nAnswer: -48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1681422529 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 561*s**2 - 547*s**2 + 0*s**3 - 2*s + s**3. Does 17 divide w(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 102, 5, -3, 2, -4, -483, -13.\nAnswer: -483, -13, -4, -3, 2, 5, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c**2 + 27*c - 18. Let n be k(12). Let x be 5 - (60\/n + 3). What is the second smallest value in 0.3, -1, x, -1\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3668\/9 + 12202\/45. Let h = i + 137. Let f = 0.4 + 0. What is the third smallest value in 1\/4, f, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - 8\/(-10)) + (-17)\/(-85). Let g = r - -71. What are the prime factors of g?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 40, -0.1, -2137\/7 in descending order.\nAnswer: 40, -0.1, -2137\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-36)\/((-792)\/87802) + -1 + 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-1) + (-3 - -4). Suppose 208 = 2*c + t*z + z, 5*c = z + 509. Calculate the remainder when c is divided by 54.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-12 - -5) + (-92718)\/((-8)\/4) + 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*1*(5 + (sqrt(304) + (sqrt(304) - (0 + sqrt(304))))**2 + sqrt(304)).\nAnswer: 12*sqrt(19) + 927","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xaxavxxvx. What is prob of sequence xx?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-6)*(-12)\/(-2). Let a = -2 - -2. Suppose a = -f*b + b. Let o(v) = v - 1. Give o(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(3\/4)\/(n\/(n\/n**5))*n**(-2\/7)\/(n*n**0))**(-2) assuming n is positive.\nAnswer: n**(155\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 11*k**3 + 8757*k**2 + 805*k + 7156. Calculate j(-796).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n**3 - 4*n**2 - n + 4. Is l(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48901 is divided by 2039.\nAnswer: 2004","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -8 - 22*p**2 + 30 + 0. Let g(m) = -6*m**2 + 6. Let a(j) = -3*j**2 + 3. Let u(b) = 15*a(b) - 6*g(b). What is 12*u(q) - 5*x(q)?\nAnswer: 2*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-38)\/(-76))\/(((-22)\/36)\/11)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5*(6\/5)\/(-6). Suppose -2*l + 8 = -l - 4*f, l + p = -5*f. Calculate the smallest common multiple of l and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137476 = 5*f - 6469. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3 - 6*h**2 - 285*h - 900.\nAnswer: 3*(h - 12)*(h + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -5*u**3 + u + 1. Let v = -10 + 9. Calculate x(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b**3 + b - 9. Give f(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -5*p + 86, 89*p - 92*p = -6. Solve 23 = -4*b + 3*q, q + 67 - c = 2*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssff when four letters picked without replacement from {s: 3, m: 7, f: 3}?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(3\/10)*u*u**9)\/((u\/(u\/((u\/(u\/u**(-2\/3)))\/u)*u*u))\/((u\/((((u\/((u*u**(1\/42))\/u))\/u)\/u)\/u))\/u)) assuming u is positive.\nAnswer: u**(1679\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*178.898.\nAnswer: 357.796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 23*r - 9. Let u(d) = -68*d + 28. Let x(g) = 16*f(g) + 5*u(g). Let l be x(1). Suppose -5*o + l = -3221. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 2\/2695?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 5*k**3 + k**2 - k - 3. Let n be (-3 - 25\/(-15)) + (-8)\/(-24)*-2. Let m(y) = 1. What is n*b(d) - 4*m(d)?\nAnswer: -10*d**3 - 2*d**2 + 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1102526*c**2 + 403702 wrt c.\nAnswer: -2205052*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/6)*n)\/n*(n\/n**6*n*n)\/n)\/((n\/(n\/(((n*(n\/(n*n\/n**(2\/5)))\/n)\/n)\/n)))\/n)**17 assuming n is positive.\nAnswer: n**(1721\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 170 (b) 9 (c) 13 (d) -4 (e) 2 (f) -5 (g) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 261 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 6*u - 161. Give w(28).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -0.04291721?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 12 = 2*a. Suppose a*g - 20 + 8 = 0. Suppose 0 = -g*b + 2*i + 7 + 11, 3*b + 3*i = 0. Solve -s - 20 = b*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 2*s - 27, 3*f - 48 = -f + 5*s. Solve 0 = -3*u - 2*a - f - 5, -2*u - a = 7 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(504\/(-266))\/(-18).\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-6)*((-424)\/260 - (-15)\/65)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 97 in -1\/5, 9\/4, 0?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -3*l**2. Let i(s) = -253*s + 5. Let t(o) = 2277*o - 46. Let v(c) = -138*i(c) - 15*t(c). Give n(v(j)).\nAnswer: -1728243*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(108) + -3 + sqrt(108))**2 + 5.\nAnswer: -72*sqrt(3) + 446","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135824?\nAnswer: 2, 13, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 724518 is divided by 21955?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 4) to base 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 7 = -2, 2*c - 9 = t. Let g = 6 - c. Calculate the remainder when 5 is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/18)\/r)\/r**(2\/9)*(r\/r**(-1\/6))\/(r\/((r\/((r*((r*r*(r*r**(2\/3))\/r)\/r)\/r)\/r*r)*r*r)\/r)) assuming r is positive.\nAnswer: r**(-7\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93965988.\nAnswer: 2, 3, 173, 45263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.078*0.001.\nAnswer: 0.000078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u**3 + 94*u**2 - 188*u + 398. Calculate f(45).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 4 = -16. Suppose 4*v + t - 15 = 0. Calculate the greatest common divisor of 3 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 273?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 PM and 3:10 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of 0*r + 0*r**6 + 0*r**5 - 11\/24*r**4 + 0*r**7 + 3*r**2 + 0 + 0*r**3 + 11\/168*r**8. Find the second derivative of m(t) wrt t.\nAnswer: 440*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 27, 11, -15, -51, -97?\n\"Answer: -5*a**2 - a + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23132 is divided by 1093?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 3:21 PM?\nAnswer: 6:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of -m**6\/3 + 109*m**5\/12 - 155*m**4\/12 - 65*m**3\/2 - 3472*m**2. Find o such that f(o) = 0.\nAnswer: -3\/8, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 AM and 5:19 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 3, 3*c = -5*i + 15 + 1. Solve -i*n + 3*g = -14, -2*g + 13 = 4*n - 5*g for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(312)\/((-1*sqrt(96))\/sqrt(12)))\/(sqrt(12) + -3*sqrt(300))*3.\nAnswer: 9*sqrt(13)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of -g**7\/21 - 3*g**3\/2 - 5*g. What is the second derivative of h(r) wrt r?\nAnswer: -40*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**9)\/w**3)**(-20)*((w**(2\/3)*w)**(-16\/7))**(3\/19) assuming w is positive.\nAnswer: w**(-18700\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13112121 - 1?\nAnswer: -13112122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.6 - -8.456?\nAnswer: 6.856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -10. Solve 2*s + 0 - 8 = n for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 243 divided by 81.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5\/2*n**2 + 5\/2*n + 5\/6*n**3 + 5\/6.\nAnswer: 5*(n + 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 252 + -256. What is the second smallest value in -0.2, 3, y?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 11*s + 264. Let j(f) = -36*f - 792. Calculate -10*h(k) - 3*j(k).\nAnswer: -2*k - 264","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/6 + 180\/(-8). Let a = 31 + i. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v - 25 - 24 + 50. Let d be (-2 - -8 - 2)*-1. Let i(m) = -m + 2. Give d*i(z) + 5*f(z).\nAnswer: -z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h - h + 3*h)*(-1 + 3 - 3) + (1 + 4 - 4)*(1639*h + 3254*h - 7529*h).\nAnswer: -2635*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(175) - sqrt(175)*-2).\nAnswer: 15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 - 18*p + 39. What is the remainder when 277 is divided by y(-17)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 10:26 AM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -371*s + 372*s + 39*s**2 + 2 - 1713*s**2 - 1232*s**2.\nAnswer: -2906*s**2 + s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b - 5 + 141 - 190 for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(sqrt(1152)*-3) + 2 - (5*sqrt(30)*2 + sqrt(30) + sqrt(30))\/(sqrt(80)\/sqrt(128)).\nAnswer: -1729*sqrt(3)\/36 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yhy when three letters picked without replacement from {h: 2, y: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 - 81 = -2*m. What is m rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13207 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.4 - -5. Let h = d - 0.4. Let j = -0.6 + 0.6. Which is the third smallest value? (a) 0.4 (b) h (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8686459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*-268.15.\nAnswer: 3217.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 381106862 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207*b - 1521 = 243*b - 489*b for b.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/85734 and 157\/257202.\nAnswer: 257202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 55 - -9. Let f be (-18)\/8*l\/(-24). Suppose 0 = -2*o + a + 264, -6*a = -3*a - f. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of l**4\/12 + 5*l**3\/6 - 40*l. Let v be m(-5). Which is bigger: -2\/27 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2024215 + -2?\nAnswer: -2024220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = d - 2*k, 5*d - 291 = d + 3*k. Let v = 5 + -9. What is the units digit of (v\/(-5))\/(6\/d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6638329?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 252360 to the power of 1\/2, to the nearest integer?\nAnswer: 502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -2, -0.144?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.4+-30297141\nAnswer: -30297141.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 336, 319, 284, 225, 136, 11, -156, -371?\nAnswer: -640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 160\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-34350)\/(-9160))\/(6\/1)\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 200553, 201037, 201521, 202005, 202489?\n\"Answer: 484*n + 200069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 76, 215, 482, 919, 1568, 2471, 3670?\nAnswer: 5207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -5*q**3\/4 - 92595*q**2\/4 - 106463400*q + 6580687625 = 0.\nAnswer: -9290, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 18*-2898\nAnswer: -52164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 7:25 PM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -2*z**5\/5 + 416*z**4\/5 - 16218*z**3\/5 - 1252*z**2\/5 + 49504*z\/5 - 32448\/5 = 0.\nAnswer: -2, 1, 52, 156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -24*n**2 - 2*n. Let g(o) = -73*o**2 - 7*o. Let v(p) = -7*d(p) + 2*g(p). Let j(b) = b. Give j(v(h)).\nAnswer: 22*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3336\/(-176) + (-5 - 1308\/(-264))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.0986 + 0.0986. Which is the nearest to 2? (a) 2\/7 (b) -2\/5 (c) k (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/2030855 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*a + 881 - 857 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from sshsisssis?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/238 and 12?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2932508273 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -38 + 37 + 3*a**4 + a + 0*a + a in the form c + l*a**3 + i*a**4 + t*a + b*a**2 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90054.2 millennia to decades.\nAnswer: 9005420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 - 4*x + 2. Let k be d(-5). Sort 2, k, -2.\nAnswer: k, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + b = -49, -4*b = -a + 4 + 16. Is 16 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*b - 227 = 433 + 54 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i + 1. Let n(z) = -20*z - 4. Determine -4*b(p) - 2*n(p).\nAnswer: 48*p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 6 + 1 + 9 - 2*s to w*s + i and give i.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t**3 + 9*t**2 - 10*t + 7. Let j(u) = 3*u**3 + 8*u**2 - 9*u + 8. Let b(o) = 3*j(o) - 4*q(o). What is the least common multiple of 22 and b(11)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7564 + -7477. Calculate the lowest common multiple of 638 and k.\nAnswer: 1914","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15878 and 476?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 5*l**2 + 2*l + 10. What is the hundreds digit of v(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 283989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7)\/(-21)*2 - 152\/(-6). Let x = -23 + j. Solve 3*h + 12 - x = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 0 (c) 663603\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 192147?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-123)\/((-38)\/(-182) + (-6)\/21)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - (-9)\/(-3)) + 20. Let n = a - 6. Suppose 0 = 4*v - n - 7. Solve -2 + v = x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 145570 and 101899?\nAnswer: 1018990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y + 45. Let r(w) = 3*w + 68. Let p(l) = -7*f(l) + 5*r(l). Let z(t) = -3*t + 5. Let j be z(5). Let k be p(j). Solve -4*s + s + k = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + 4*n**2 - 6*n - 5. Let h be l(-5). Suppose -4*d - 6 - 154 = h. What is the units digit of (-16)\/d - 113\/(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -830928 or -830924?\nAnswer: -830928","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 - 9*n - 12. Let c be o(10). Let d = 0 + c. Let s be (-18199996)\/d - (-6)\/9*3. Round s to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -58 - -58.3. What is the third biggest value in 1\/5, h, 13?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-1 - 11) - (50 - (103 - 43))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -3, 6, -1, -2, 914 in decreasing order.\nAnswer: 914, 6, -1, -2, -3, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (i - 8*i + 10*i)*(37*i**3 - 56128 + 56128 + i) in the form v*i**3 + p*i + c*i**4 + b*i**2 + s and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4624 - -4696. What is the greatest common factor of 75 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5269, -9679, -14089, -18499, -22909?\n\"Answer: -4410*n - 859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3344.996 - 3344. Let s = -0.2 - -0.196. Let j = s - h. Which is smaller: j or 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a kilometer in centimeters?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -3*(0 + sqrt(448)))**2.\nAnswer: 96*sqrt(7) + 4036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-5)*k*(k\/k**(-8)*k)\/k)\/((k*(k\/((k*(k*(k*k**(-1\/9)\/k)\/k)\/k*k)\/k))\/k)\/(k*k**(-4))) assuming k is positive.\nAnswer: k**(8\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 51909 and 1677.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 1 + (-1 + 2 + 1)*(0 + 2 + 2))*(6*j - 6*j - 4*j**2).\nAnswer: -24*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 3*g**3 - 2*g**2 - 5*g. Suppose 3*z - 5 = 10. Let o(r) = -2*r**3 + r**2 + 3*r. Let q = 1081 + -1078. What is q*i(j) + z*o(j)?\nAnswer: -j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - 1) + (-2 - 0). Let k = -3071 + 3565.3. Let z = k - 494. Which is the smallest value? (a) 0 (b) u (c) z (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-75)\/105*5\/(25\/(-2)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.12 - -0.02. Let t = y - -0.7. Which is the closest to -0.1? (a) t (b) 2\/11 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 236 = -52*q + 80 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 y, and 2 j when four letters picked without replacement from byjbbbjdb.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 16. Let g be 3\/2*16\/d. Let r = 27 + g. Is r a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -15 - (-16 + -50 + 82)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.02 - 0.02. Let p be -1*2 - (-11)\/4. Put 2\/13, p, y in descending order.\nAnswer: p, 2\/13, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20 + 9 - 13) + 7.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 9 - (49 + -47)) + -16 + (-12 - 42).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c*j**4 + 9*c*j**3 + 69*c*j**2 + 2*c*j + c - 2*j**2 - 563*j + 3 wrt j?\nAnswer: 24*c*j**2 + 54*c*j + 138*c - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -426\/1461383?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -119, -101, -79, -53?\n\"Answer: 2*q**2 + 12*q - 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of l**6\/30 + l**4\/3 - l. Find the third derivative of n(t) wrt t.\nAnswer: 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 376.3206 to 1 dp.\nAnswer: 376.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by 132.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1358735 is divided by 532.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a decade in months?\nAnswer: 768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/1991561 and -45\/724204?\nAnswer: 7966244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = 160*f + 329 + 48. Let q(m) = -2*m**3 - 4*m**2 - 10*m - 11. Give q(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 + 3*g**2 + 4. Let s be h(3). Suppose -2*m = -s*m - 2. Let y = 41\/94 + 3\/47. Sort m, 2, y in descending order.\nAnswer: 2, y, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 8, w: 3}. Give prob of picking 1 h and 2 w.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 137 - 135. Solve 0 = 15*b - 12*b + r*o - 2, -2*o = 4*b - 6 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.003 + -1.097. Let g = d + 4.1. Let i = 7 - g. Put i, -2, 1\/3, -2\/11 in descending order.\nAnswer: i, 1\/3, -2\/11, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (83*l + 22*l + 30*l)*(2*l + 2*l - 2*l)*(0*l + 2*l**2 + 0*l).\nAnswer: 540*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1053) - (5 + sqrt(1053) + (sqrt(1053)*2 - sqrt(1053)) + sqrt(1053))**2 - 6*(sqrt(1053) + -1).\nAnswer: -9496 - 315*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 94365 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -87248 by 21812.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.6 and 8?\nAnswer: 12.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 728e (base 16) in base 12?\nAnswer: 14b7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 14 = -4*l, 0 = 4*f - 4*l + 13 + 7. Let o = -1 - f. Suppose 5 = -5*u + 3*q, -o*q + 15 = -u - 4*u. Solve 2*b + 4*r + u = 4*b, -2*r - 7 = 5*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3*n - 7*n + 17 = 0, 2*n - 22 = -4*i. Suppose 0 = -i*b - b + 480. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 4*o - 312 = 360, 0 = -a - 3*o + 341. What is the remainder when a is divided by 83?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*o - 19. Let m = o - -49. Is m a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 296470 is divided by 49?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 340130000 rounded to the nearest one million?\nAnswer: 340000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 1181510098 to the nearest one hundred thousand.\nAnswer: 1181500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 96357?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 2*s, -2*s - 3*m - 14 = 3*s. Let g be s - 4*(-3 + 3 - 4). Suppose g = -23*j + 27*j. Solve 9 = -0*u + 3*u, u - 6 = -j*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-79)\/2)\/(2\/4). Let n(m) = 25*m + 230. Let v be n(-3). Let b = v + y. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000027538904 to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 4*n**2. Let o(z) be the third derivative of -z**8\/1260 + 7*z**5\/60 + z**4\/12 + 13*z**2. Let l(a) be the third derivative of o(a). Give q(l(u)).\nAnswer: 1024*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 574073*m**3 - 2*m**2 + 4*m + 1. Let q be p(-3). What is q rounded to the nearest 1000000?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wyywxguyggw. Give prob of sequence ux.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 8:54 PM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -35*r + 353. Give n(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 142950389 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3*q**2 - 28*q + 30. Give z(5).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/33183 and 67\/75.\nAnswer: 829575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 5 = 0, -6*l + 9*l = -4*x + 195. Is x > -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -234 = -2*o - 5*y - 212, 3*y - 11 = -o. Solve -o + 16 = 5*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 669 - 694 - (-43 - -1)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1326604 is divided by 331641.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -5, -3 in ascending order.\nAnswer: -5, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 3*f**2. Let o = 156 - 156. Let s be h(o). Solve s*k = k - 5 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4, -17, -38, -59, -80?\n\"Answer: -21*m + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 greater than or equal to 2089438?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**2 + 50789*m - 50789*m.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 279 by 137.\nAnswer: 279\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92547 is divided by 48.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**3 - q**3 - 2*q**3)*(0 + 0 + 1)*(18 - 79 - 45).\nAnswer: 106*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -13 - -17 - (10 - 1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/125 and -127\/114680.\nAnswer: 2867000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -4*k - 8, 3*k = 2*c + 4*k + 4. Suppose -2*v - 2 = n - 7, v + 3*n = 10. Sort c, -4, v in ascending order.\nAnswer: -4, c, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 397055610*r**3 + 100*r**2 - 1178020*r?\nAnswer: 2382333660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11286085 is divided by 162.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 57b14 + -1a79?\nAnswer: 56068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/13 (b) -1 (c) -1.25144 (d) -0.7 (e) 10\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -14, 501, 1, -9, 2, -5.\nAnswer: -14, -10, -9, -5, 1, 2, 501","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3401667562?\nAnswer: 2, 61, 947, 29443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 8. Let u(r) = r + 4. Let z be u(w). What is the first derivative of -2*c - 2*c**2 + 4 - 2*c + z*c wrt c?\nAnswer: -4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + (-2)\/(-1)*19\/(-209). Which is greater: -270 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5753351 - -639.\nAnswer: -5752712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -4*c, -w = 4*c - 6 - 9 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 159*a**2 - 2*a - 2. Calculate z(-1).\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2132 divided by 3.\nAnswer: 2132\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 71, 57, 51, 53, 63?\n\"Answer: 4*y**2 - 26*y + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4891 - -4891. Determine k so that 1\/4*k**3 + n - k + k**2 - 1\/4*k**4 = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.026289 - -0.046902. Round h to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -36, 114.6 in decreasing order.\nAnswer: 114.6, -25, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*c + 2991*c**4 - 2529*c**4 - 9*c + c**3 + 3*c**2 to a + i*c**3 + l*c**4 + k*c**2 + d*c and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3918.35s in milliseconds?\nAnswer: 3918350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mvbaammvqvbmva. What is prob of sequence bb?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/3, -0.13, 0, -0.4, 44?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 107, 213, 319?\n\"Answer: 106*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/8*(-3)\/((-27)\/72). Suppose n*b + 16 = 2*u + 84, -5*b - 5*u = -190. What is the lowest common multiple of b and 1?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 82.2 + -82. Which is the third smallest value? (a) -0.002 (b) 0.3 (c) v (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 20*z**2 - 16*z + 494. What are the prime factors of m(22)?\nAnswer: 2, 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 5*d - 18 = -3, q - 7 = 3*d. Let y be 10\/q - 21\/14. Let g be y\/(-2)*1*-6. Solve 4*p - p = -4*c - 7, p = -g*c + 1 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {r: 1, y: 2, d: 2, b: 1, c: 1, m: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1215?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 16 = 2*k, 5*w + k + 0*k = 20. Is w greater than 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/(-44) + 96\/(-44). Let f = -197 + 1745\/9. Sort f, -0.1, r in decreasing order.\nAnswer: -0.1, r, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41630047 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 28*o**2 - 108*o + 192. Let s(f) = -9*f**2 + 36*f - 65. Let g(p) = -5*h(p) - 16*s(p). Factor g(r).\nAnswer: 4*(r - 5)*(r - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.036 + 0.0360224. Round q to six dps.\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 7*i. Suppose 3*p - 3*r - 42 = 0, -25 - 23 = -3*p + r. Let g(a) = -20*a + 6*a - 33 + 4*a + 12*a. Let u be g(p). Determine t(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -14, -498, 5, -7, -5, -15 in decreasing order.\nAnswer: 5, 0, -5, -7, -14, -15, -498","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -477 - -918. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 4*s - 36 = 0, -4*k = 5*s + 2145581 - 2145662 for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(120)*4)\/(sqrt(600)*-3))**2.\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 5:56 PM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 5*m - 9, 0 = 2*l + m - 10 + 1. Suppose 23*g - 27 = 42. Solve -l*c + g = -0*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26105987489 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 - 21672*s**2 - 21757*s**2 + 43430*s**2.\nAnswer: s**2 - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 5 - 10. Let p be ((-40)\/36)\/(-10) - (-176)\/36. What is the second derivative of 5*f**5 - 6*f - 33*f**v - 42*f - 11*f**p wrt f?\nAnswer: -780*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44320 and 3878?\nAnswer: 310240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 363 divide 97178730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/15462426 and 13\/399.\nAnswer: 293786094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(31\/4))**7*w**29*w*w\/(w*w**(20\/9))*w)**2 assuming w is positive.\nAnswer: w**(2989\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000861088 rounded to 7 dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(8\/(-12)*(-33)\/(-22))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*833\nAnswer: -166.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 382, -6 in ascending order.\nAnswer: -6, 0, 382","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 963.7 to the nearest 10.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-36)\/3)\/12)\/(-6).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 87 - -7. Suppose -4*o - h = -642. Is o a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) -1\/4 (b) 5 (c) -0.5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/3 - 6\/18. Sort 4, 2, g.\nAnswer: g, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6606316?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 0 (c) 13 (d) 0.19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*j - 56*j = 20 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 396793 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 - 3)*(-4*l + 0*l + l)*(-863 + 997*l + 863) in the form s + c*l**2 + b*l and give c.\nAnswer: 2991","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 182.7958758 to one dp.\nAnswer: 182.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 - 8 + 1934*z + 22 - 5 to b*z + o and give b.\nAnswer: 1934","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*u**3*w**2 - 213*u**3*w - 24395*u**3 - w**2 - 3*w with respect to w.\nAnswer: 8*u**3*w - 213*u**3 - 2*w - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 528 + p - 528 - p**3 - 36651*p**2 + 4*p.\nAnswer: -p**3 - 36651*p**2 + 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 r when three letters picked without replacement from rrrrppprrrpprrprprcr.\nAnswer: 21\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 - 5*l + 5. Let o be v(-6). Let t(y) = -18 + 31 - 14 + 5*y. Calculate t(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**2 - 2*o + 1. Let w be f(2). Suppose 25 = 5*t, -4*m = m + t - w. Suppose m = -2*i + 13 + 29. What is the highest common divisor of i and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4628 - -4633. Put s, -23, -5 in decreasing order.\nAnswer: s, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -583, -104, -1, -32, 4 in increasing order.\nAnswer: -583, -104, -32, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (341\/(-33) + 4)\/(-35*2\/(-42))\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13354980.53 rounded to the nearest ten thousand?\nAnswer: 13350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -252? (a) -0.07 (b) -0.04 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(0 + sqrt(539) + sqrt(539)*-2 + 1 + sqrt(539) + sqrt(539) + -4)*6*-5)**2*4*-4.\nAnswer: -31564800 + 2419200*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/4715774 and -95\/286594?\nAnswer: 51873514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*q**2 + 3*q**2 - 5*q**2)*(452*q - 900*q + 20 + 455*q).\nAnswer: 35*q**3 + 100*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a hour in seconds?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -2*s**5 + 44*s**4 - 206*s**3 - 252*s**2 = 0.\nAnswer: -1, 0, 9, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -7 + 495\/120?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-2)*-4*(-24)\/16.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 5*k + i - 25, -5 = -k - 2*i. Suppose -c - 90 = 2*s, 2*c + 2*c + 425 = k*s. Let n be (-20)\/c*1*2. What is the nearest to 2\/7 in -2, n, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*p + 221 = 105 - 853 for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 3*q**3 + 8*q**2 - 20*q - 55. Determine n(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = o + 273. Let d be (-14)\/o - (-14)\/(-78). Which is bigger: -1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1001.\nAnswer: 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 929 - 819. Let o = 649 - j. Is o\/20 + (-4)\/(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 (base 16) in base 11?\nAnswer: 763","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/17))**(-5\/3) assuming s is positive.\nAnswer: s**(-10\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 - -0.1. Let k = 34\/5 - 384\/55. Which is the closest to -1? (a) y (b) -0.2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 3*i**4 - 1729875*i**3 + 5189598*i**2 = 0?\nAnswer: 0, 3, 576622","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + (-15)\/10)*2. Let a(d) be the first derivative of 5*d**3\/3 - d**2\/2 - 1. What is the units digit of a(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + f + 3*f, 0 = -3*d - 3*f + 3. Suppose 6*l = l - 4*g + 17, g + 1 = d*l. Let o = -2 + 2. Which is the nearest to o? (a) -0.3 (b) l (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -h - 5*h**3 + 6 - 6 + h**4 + 6*h**3 - h**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 387, 814, 1241?\n\"Answer: 427*d - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2170 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -3*j - 43. Let c be z(-15). What is the third derivative of 2844*s**2 - 44*s**3 + 111*s**3 - 2836*s**c wrt s?\nAnswer: 402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 686503 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 280368414 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -266 - -271. Suppose -1757 = -4*c - 5*z - 228, -3*z + 1895 = f*c. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*a**2 + 4 + 7*a**2 - 4.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6\/11 + 251\/44. What is the common denominator of -111\/22 and z?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**6 + 1. Let j(p) = -381*p**6 - 211*p**2 + 5. Let q(b) = -j(b) + 5*y(b). What is the third derivative of q(t) wrt t?\nAnswer: 44520*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(-126))\/(5\/30)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*a - 200038 + 139334 - 231193 = 0. Does 9 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 340282.\nAnswer: -2\/170141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -16*a**3 - 9*a**2 + 3*a + 15. Let m(y) = -5*y**3 - 3*y**2 + y + 5. Let v be (-9)\/(-6) - (-21)\/(-6). Let s(h) = v*x(h) + 7*m(h). Is s(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (4*(-1*sqrt(104) - sqrt(104)))\/sqrt(8) - ((sqrt(26) + -2*sqrt(26))\/sqrt(2) + sqrt(26)\/(sqrt(2)*3)))*-2)**2.\nAnswer: 880*sqrt(13)\/3 + 26068\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -5*h + 64, 2*i - 3*h - h = 6. Does 13 divide (i - 6\/(-3))\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 23*a**2 + 58*a - 4. What is the hundreds digit of t(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11360*h**3 + 64 - 3609*h**3 - 27*h - 32 - 78 wrt h?\nAnswer: 46506*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 + 5*g**2 - 5*g - 19. Give c(-6).\nAnswer: 407","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of r**6\/120 + r**5\/12 - r**4\/12 - 5*r**3\/6 - 6*r**2. Suppose 4*o = o - 12. Is k(o) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24\/1423 + -3062\/12807. Sort -14, x, -1\/3, 12, 3.\nAnswer: -14, -1\/3, x, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 8*q. Solve 2*o = 3*d - o - 9, q = 2*d + o - 12 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13741, 0, -2, -43 in decreasing order.\nAnswer: 0, -2, -43, -13741","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*k - 11*k - 8*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 69384 - 69369. Suppose 2*j + 12 = -2*w, 3*j + 5*w + 4 + 22 = 0. Calculate the lowest common multiple of ((-1)\/j)\/(1\/12) and q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-202 + 649 + 1419)*(t**4 + t - t)*(2 + 5 - 1) in the form p + w*t**3 + z*t**2 + v*t + h*t**4 and give h.\nAnswer: 11196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2946 - 0.0054. Which is the closest to 2? (a) 0.1 (b) 7 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 29*i - 697 = -25087, 5*j + 4*i + 40807 = 0. Are j and -8158 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 29526388?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 2*x**2 + 524*x + 10994 = 0.\nAnswer: -239, -23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 26 = 5*a + 2, 0 = 5*w - a - 47. Calculate the remainder when 9 is divided by w.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -284.8 + -40.2. Let c = a + 277. What is the biggest value in c, -2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 30*j**2 + 7*j - 4. Let r(m) = 58*m**2 + 14*m - 7. What is -7*l(f) + 4*r(f)?\nAnswer: 22*f**2 + 7*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w**2 + 0*w**2 - 2*w**2 + (3*w + w - 3*w)*(3*w + 3*w - 4*w) + 3*w**2 - 2*w**2 + w**2.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - 7*y**2 + 2*y - 4. Let n be r(-7). Let l be (-58)\/n + 4\/(-18). Solve 2*o + z = 2*z - l, -4 = -4*z for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -6. Is (6340\/12)\/(n\/(-12) - 0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 634600 by -25.\nAnswer: -25384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56 and 322?\nAnswer: 1288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 131123001 (base 4) to base 13.\nAnswer: 42b13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4341 times -13570\nAnswer: -58907370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1.1, 2, 0, -0.7, 0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 7 = 2*l, -3*j + 9*l = 4*l + 7. Let t(o) = -150*o + 169*o - j - 4. What are the prime factors of t(6)?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 4 + ((sqrt(1573) + -1 + sqrt(1573))*6 + 3 + (sqrt(1573) - sqrt(1573)*2) - (sqrt(1573)*-1 + 2 + (sqrt(1573) - sqrt(1573)*2)*4))**2*-6.\nAnswer: -2416277 + 10560*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*1294.85.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -71\/18 - -25\/6. Let s be 1\/(-40) + 4\/10. Which is the second biggest value? (a) 5 (b) s (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {c: 3, o: 1, u: 5}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/2)\/((-2)\/(-4)). Let t(v) be the third derivative of -5*v**4\/24 + v**3 + 15*v**2 + 606. What is t(i)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 55*h**5 + h**3 - 7*h**2 + 76*h + 1568 wrt h?\nAnswer: 1100*h**3 + 6*h - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19698884 is divided by 656629?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {q: 1, d: 1, p: 1, h: 1, f: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1275) - sqrt(1275)*-2)*-1 + sqrt(1275) + (sqrt(1275) - (sqrt(1275) + sqrt(1275) + 5*sqrt(1275)*2)))\/(sqrt(243)*2*6*-2)*5.\nAnswer: 325*sqrt(17)\/216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*j + 4*d = -59*j - 25, -j = 4*d + 19 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of -997*z**4\/4 + 323*z**3 - 214. What is the third derivative of u(m) wrt m?\nAnswer: -5982","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 11621.\nAnswer: -2\/11621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-742*p - 38*p - 262*p)*(2*p**3 - 4*p**3 - 2*p**3).\nAnswer: 4168*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of 0*w**3 + 0*w**2 + 7\/12*w**4 + 7*w - 5. Let d(g) be the first derivative of o(g). Let r(q) = -2*q**2. Calculate r(d(x)).\nAnswer: -98*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4183 + -4183.0006343. Round v to 5 dps.\nAnswer: -0.00063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4896 = 69*j + j + 202*j for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 472.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 3*v = -28. Suppose 0 = v*y - 16. Is y less than 7\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1222*q + 40 - 40 - 1409*q + 0.\nAnswer: -2631*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 + 43*d + 358. Let u be x(-11). Solve 0 = -u*y - 1 - 17 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/16744 and 99\/728.\nAnswer: 16744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -49.8239 + 0.0239. Let k = 50 + w. Which is the biggest value? (a) 0 (b) 2\/9 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 3 = 5*a, 28 = -0*g - 4*g - 4*a. Let y be (-16)\/2 + 4 + 4. Let h be 3 - (-1)\/(-2)*-2. Sort h, y, g in descending order.\nAnswer: h, y, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 132557*n**4 + 73296?\nAnswer: 530228*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5368 and 88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/(-5)*(-10)\/(-4). Let n = -0.1 + 1.9. Let u = n + -2. What is the closest to -1 in w, u, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4118 + -113b?\nAnswer: -5257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 369 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -299736*w**4 + 7*w - 6*w + 299722*w**4 - 186*w**2 in the form b*w**2 + u*w + k*w**4 + n + p*w**3 and give b.\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - g + 1. Suppose -3*c + 5*n + 1 = 0, n + 0 = 2*c - 3. Let b be x(c). Solve 2*o + 4*j - 6 = 0, -b*o + 0*o + 11 = 4*j for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.82*-0.2\nAnswer: 0.164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3871?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 k, and 2 n when four letters picked without replacement from {n: 5, k: 1, s: 1, c: 2}?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**4 - 2*p**4 + 3*p**3 + 2*p - 4*p**3 as v*p**4 + o + j*p**2 + q*p + s*p**3 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) + (sqrt(110) - (sqrt(110)*-1 - sqrt(110))*4) + -1*1*sqrt(110))\/(-2*sqrt(1960)).\nAnswer: -9*sqrt(11)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 5*m - 82195, -96527 = 3*p + m + 26774. What is p rounded to the nearest 1000?\nAnswer: -41000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 18475.617s?\nAnswer: 307.92695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -36401, -145587, -327591, -582413, -910053, -1310511, -1783787?\n\"Answer: -36409*y**2 + 41*y - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 2 + sqrt(7)*-2 + -2.\nAnswer: -2*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45475*o - 45394*o - 2673 = 0 for o.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of c**5\/20 + c**4\/2 + c**3\/2 + 7*c**2\/2 + c. Let p be (-36)\/7 + 1\/7. What is the units digit of a(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10*(3*-1)\/(180\/(-24))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 288 = 24. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 103224914?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 - (2 + (-1 - -2)). Let m = -53 + 95. Let f be (-26)\/m + (-5)\/(-15). Which is greater: u or f?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, -43, -49, -37, -1, 65?\nAnswer: 167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2453 is divided by 2445?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 23*f**4*i - 1549*f**3*h + f*i**3 - 549*h*i**3 + 110*i**3 wrt f?\nAnswer: 92*f**3*i - 4647*f**2*h + i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 - 5*c + 16. What is h(-8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 - 5*b - 9. Calculate x(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 8. Suppose -2*i - i = 0. Solve i = -h*z - 15 - 10 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.031 - 15\nAnswer: -15.031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76151796 divided by 19037949.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from sssssssssssssddsss.\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 - 132*j**2 - 1814*j - 9963. Calculate z(145).\nAnswer: 332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 7*a - 14. Let q(s) = 20*s - 41. Calculate -6*q(n) + 17*w(n).\nAnswer: -n + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 23*j + 44. Let b be a(-9). Let h = b - -250. What is the remainder when h is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 967?\nAnswer: 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a decade in months?\nAnswer: 2580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -33*b**2. Let f(v) = 10*v. What is j(f(a))?\nAnswer: -3300*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -216 - -608. Let r = 412 - x. Solve 3*l = -2*j - r, 4*l + 15 - 3 = j for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 4*t = 2*y + 7, y - 4 = 0. Let g = t - -47\/3. Let i = 1\/20 - -31\/180. What is the third smallest value in i, -4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/30 of a day?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11011001011010 (base 2) to base 11\nAnswer: -a4aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 + 41 + 10*x**2 + 0*x**2 + 452*x + 0*x**2 - 901*x + 445*x. Let b be d(10). Solve k = 2*k - b for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14591364?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/46572044 and -93\/220930.\nAnswer: 232860220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10100 + 12?\nAnswer: 10112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1434, -3686, -7432, -12672?\nAnswer: -19406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33 + -38. Let o = 4.27 - 4.07. What is the nearest to 1 in x, 4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 9\/5, 1\/5, 0.4, 2\/13?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27209 divided by 40.\nAnswer: -27209\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**2 + 448*l + 444.\nAnswer: 4*(l + 1)*(l + 111)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 11:31 PM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -403*p - 265 = 198*p + 2139 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3*g = 22. Let y = g - 8. Suppose 3 = 3*c, 2*l = y*l - 2*c. Solve -l*u = -4*u - 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27375716?\nAnswer: 2, 1279, 5351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/4*(1 + -1). Suppose 6*x - 3*x = 6. Suppose f = -5*g + x + 18. Solve -q - p = -0*p, 3*q + g = -4*p for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*f - 44 = -4*l + 37*f, 2*l + f - 1 = 0. Solve -2*o + 28 = -5*i, 5*o + l*i = -i for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 91 + -72. Let g(y) = 3*y**2 + y - 7. What is the remainder when g(5) is divided by j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56741?\nAnswer: 23, 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**3)\/h*h*h**(3\/5)\/h*(h\/((h*h*h**(-1)\/h)\/h)*h)**(-1\/40) assuming h is positive.\nAnswer: h**(-99\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1109 divided by 1\nAnswer: 1109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.818059 rounded to two dps?\nAnswer: -0.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -75642443*g**5 - 2*g**2 - 53906360*g.\nAnswer: -4538546580*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u + 2*w - 12 = 6*u, 0 = 4*u + 5*w - 13. Suppose 1 = 2*j + 21. Let c be 6*(j\/(-4))\/5. Solve 0 = -5*i + u*t + 7 + 4, -4*i + c*t + 6 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 0.115, 1, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 3*d - 17 = -4*d, 4*d - 20 = -4*h. Let b(z) = -2*z + 2. Let k be b(-3). Let s = -13 + k. Sort 5, s, h.\nAnswer: s, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 3800268\nAnswer: -1\/1266756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 686 and 10731.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 5*w - 13. Let y be v(3). Suppose 2*s + d = 2*d + 4345, -3*s = 5*d - 6485. Suppose -u - k = -y*u + 538, -2*k + s = 4*u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 2*a + 3646, 0 = w - 89*a + 86*a - 3661. What are the prime factors of w?\nAnswer: 2, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3822.592 nanoseconds?\nAnswer: 3.822592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 324*b - 649*b + 331*b - 342 + 174 + 168.\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 80 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16.8 - 0.11.\nAnswer: 16.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 312 is divided by 53?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 45792 + -2218242. Is o\/(-882) - 2\/21 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 15 + (292 + -1)*-154*(-22)\/(-65604)?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (10\/(-8) + (-11)\/44)*-178?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (78\/(-260))\/((-2)\/20).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*d**3 + 2*d**3 + 3*d**3 - 8 + 2 wrt d.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -18\/125 (b) 25 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -2*b - 18, 0 = 3*b - 5*q + 2*q + 9. Let p(i) = i**2 + 1. Let n(y) = -7*y**2 - 6. Give b*n(x) + 4*p(x).\nAnswer: -3*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f - 3*f + 0*f + (-2 + 1 + 0)*(-3*f + 6*f - f) + (-9 + 6*f + 9)*(-2 + 0 - 1 + (-4 + 2 - 1)*(5 - 3 + 0)) as d + p*f and give p.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -7. Let t(a) = 7 - 13 - 14. Let b(v) = 17*j(v) - 6*t(v). Let m(i) = 2*i - 3. Calculate -3*b(c) - m(c).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -12084933 and 0?\nAnswer: 12084933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s - 1. Let b(k) = k**3 + 2*k**2 + 5*k + 3. Suppose -2*q - 6 = 5*t - t, -t - 7 = -5*q. Calculate q*b(v) + 5*a(v).\nAnswer: v**3 + 2*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4785575 * -4\nAnswer: -19142300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 3*l - 2*u + 18, 4*l - 2*u - 12 = 0. Suppose -i + l*a - 7 = 0, 0 = i - 4*a + 2*a + 4. Let h = 0.3 - 0.1. Which is greater: h or i?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56, 1, 130, 367, 748, 1309, 2086?\nAnswer: 3115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) + -1)*4)**2 + 0.\nAnswer: -32*sqrt(17) + 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = 7*k + 73, -2*k = -o - 1263 + 1284 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/4 + (-2)\/(-18)*0. What is the nearest to -4\/15 in 0.4, 2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-30))\/((-3)\/15).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 2*t**2\/3 + 4620*t + 13854 = 0.\nAnswer: -6927, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102000210211 + 11?\nAnswer: -102000210200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 - 61*h - 622. Let l be f(-9). Let z = 0 + 0. Suppose -3*i = 2*u - z*u - 4, 4*u + 4*i = l. What is the lowest common multiple of u and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = z, -13 + 483 = 3*t - z. Suppose -3*y + 6*y + t = j, 860 = 5*j + 2*y. Is 17 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (81 - -2) + 3 + -2 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1496\/103923 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -226*r**3 + 1603*r**2 - 2407*r + 210 = 0.\nAnswer: 21\/226, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -6. Suppose 2 = 3*n + 5. Let k = a + n. Which is smaller: -2\/7 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from didzdddzz. Give prob of picking 1 z and 1 i.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 25 = -5*k, 3*m = k - 3 - 2. Let c = m - -2. Suppose 3*l = -r + 3*r - 230, 222 = c*r - l. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 154411 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 1) + -2 + 7 + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9.8 + -6.8. Which is the closest to 3\/7? (a) g (b) -4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -10 (c) -2\/17 (d) 2\/9 (e) -11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 70074?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of b**3\/3 + 7*b**2 + 224*b. Give a(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -123510*p - 331749. Let o(m) = -5614*m - 15080. Let c(n) = 2*h(n) - 45*o(n). Differentiate c(l) wrt l.\nAnswer: 5610","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/7 + (-884)\/(-11900))*(-4230)\/(-1269)\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n - 7. Let p(d) = 3*d + 7. Suppose 22*g = 21*g - 5*a - 5, 0 = -2*g + 2*a + 14. What is g*c(z) + 4*p(z)?\nAnswer: 2*z - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17882.\nAnswer: 2, 8941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2382 - 1075.7618. Let h = 1076.000001217 + m. Round h to seven dps.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53694983 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -42 - -82. Suppose -4*u + 267 = -u. Suppose -5*v + 5*b = -55, -2*b + u = 4*v + 3*b. What is the greatest common divisor of h and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3065336778?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/22 and 89\/5334954.\nAnswer: 58684494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of w**4\/12 - 2*w**3 - w**2. Let z = 60043 + -33139. Let o(l) = -26904*l + z*l - l**2. Determine o(j(v)).\nAnswer: -4*v**2 + 48*v - 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -1, -6, -4, -1582, -2, -5 in ascending order.\nAnswer: -1582, -22, -6, -5, -4, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 + 3*l - 5. Let i(a) = 2*a**2 - 5*a + 9. Let t(p) = 3*i(p) + 5*j(p). Let r be t(0). Let n(x) = 10*x - 2. Does 18 divide n(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14.573 + 14.6. Round q to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 3\/17190395?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 90108710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3\/5 - 60463*g**2\/5.\nAnswer: -g**2*(2*g + 60463)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (2 - 0) + (-17 - (3 + -4)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p - 4. Let r(j) = 4*j + 5. Let c = 178 + -175. Let h(z) = c*r(z) + 4*u(z). What is h(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7\/40 + -1\/120. Let g be -1*(2 + (-9)\/(-1)). Let v = g - -6. Sort v, o, -0.1 in descending order.\nAnswer: o, -0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 5*v**3 - 11*v**2 + 63*v - 103. What is x(3)?\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(h\/h**8)*h)**(-29))**9 assuming h is positive.\nAnswer: h**(-2610)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -53, -1002, -3465, -8198, -15957, -27498?\n\"Answer: -126*q**3 - q**2 - 64*q + 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + 21*k**2 + 410*k + 3975. What is l(-13)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1270561709 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 3*u + 55, -4*d - 67 - 2 = 5*u. Suppose 28*v = 13*v + 255. Let o = u + v. Sort o, 5, -1 in increasing order.\nAnswer: -1, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-4 - (4 + -6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3721 (base 12) to base 16\nAnswer: -1849","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 - 20*g**2 + 21*g + 2. Let w(s) = -s**2 - 11*s + 14. Let l be w(-11). Suppose -l + 98 = -4*z. Let n be o(z). Solve -2 = -0*c - n*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114 is divided by 30?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + 3 + (1 + 1 - 4). Let r be -2 + (y - 0) + 0\/(-4). Let x(g) = -g**2 - 6*g. Let d be x(-6). Solve r*n + 3*n + 15 = d for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n - 1100 = -17*n. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 - 715)\/(20\/24). Let k be 2\/8 - (-6850)\/(-8). Let y = r - k. Which is bigger: 4 or y?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 259172, 259266, 259352, 259424, 259476, 259502?\nAnswer: 259496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 1 = 5. Let j be (-373)\/(-7) + x\/(-14). Suppose -w + j + 152 = 4*u, -u - 419 = -2*w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kgg when three letters picked without replacement from kktgtkkgk.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - -2) + 2 - (60 - 59)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of 3947*x**4\/24 + 6213*x**2. Let k(u) = -u. Determine k(p(g)).\nAnswer: -3947*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/(-10) - 15\/20*4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 163, 327, 491?\nAnswer: 655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.05 + 1.95. Let i = -3.1 - -2.1. Which is the third biggest value? (a) d (b) 3\/7 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -24842 in 0.4, -1, 244, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002303136 rounded to 6 decimal places?\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 82800000 rounded to the nearest one million?\nAnswer: 83000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -0.3. Suppose -4*l = 12 - 4. Let i be (-4)\/(-10) - (-40)\/(-225). What is the nearest to 1\/3 in i, l, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 25. Let d be (-18)\/12*x\/(-3). Let v(t) = -t + 15. What are the prime factors of v(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 - 3*d**2 - 2*d. Let k be c(-3). Let m(g) = -48*g + 2. Let h be m(k). Let y = -3716\/13 - h. Which is bigger: y or -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 88.7\nAnswer: -177.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 2*z = -15 - 0, 0 = -2*l - 4*z - 10. Put 0, l, -2, 15 in decreasing order.\nAnswer: 15, 0, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -h**6*r + 743526*h**4*r**3 + 133924*h**2*r**3 + 2*h**2 wrt h.\nAnswer: -120*h**3*r + 17844624*h*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -3*f - 19, f - 2*f = -d - 3. Let k(r) = -112*r + 1. Is k(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 273?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6 - 5 - ((-105)\/(-27) + -3). Let k = -3 + 0. Which is the second smallest value? (a) 3\/5 (b) h (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*n + 94*n - 3640 = -1048 for n.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-13) - (-1760)\/(-2080).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -y**4\/7 - 142*y**3 + 132024*y**2\/7 - 652032*y + 47568384\/7 = 0.\nAnswer: -1116, 24, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of g**5\/150 + g**4\/60 - 6*g**2. Determine l so that u(l) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -196 + -4b?\nAnswer: -1e2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1632177277 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 - 4*n**2. Let g be c(3). Let t be 8 + (g\/(-1))\/(-3). Solve 4 = -3*b + 2*m, -t*b - 5*m - 21 + 6 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 563942888.\nAnswer: 2, 23, 3064907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23522013, -23522019, -23522027, -23522037, -23522049?\nAnswer: -23522063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -192*h**2 + 665*h**2 - 167*h**2 - 175*h**2 - 134*h**2.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -632, -626, -620, -614?\nAnswer: -608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 129294 - (-1 + -4 + -10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 142 - -222?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 184 at most as big as 185?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 8) + -10 + (6 - 1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(456) - sqrt(456)*1)*5)\/(sqrt(128)*-6))\/(-2*(sqrt(3) - -5*sqrt(3))*2*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - 568\/(-40)) + (-1)\/5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1422, -2822, -4222, -5622, -7022?\nAnswer: -8422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3193*k - 10400 = 5778*k - 3001*k for k.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -342*-6507\nAnswer: 2225394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37 + -112\/3. Let v = -4.07 - -3.07. What is the third smallest value in v, i, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1090 and 358.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (23*z - 42*z + 23*z)*(-2 + 2 + 2) + (-4 + 3 + 2)*(9 - 4*z - 9) - 4*z - 3*z + 5*z as m*z + g and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 665 (base 8) to base 11\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -32710 rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*b + 417 = 264 + 252 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of -f**7\/5880 - f**6\/1260 - f**5\/840 + f**3\/6 - 2*f. Let a(t) be the second derivative of r(t). Factor a(b).\nAnswer: -b*(b + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**3 + 13*c**2 + 7*c - 4. Let q be l(-6). Is 2\/q + (-400)\/(-125) + 4003 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 4*t**2 - 7*t + 7. Suppose 0*j + 35 = 5*j. Let v(n) = 3*n**2 + 2*n - 1. Let z(x) = 4*x**2 + 1. Let q(y) = -v(y) + z(y). Give j*q(s) - 2*p(s).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 479*o + 899. Let s be y(12). Is 6648 <= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1f (base 16) to base 7\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.0524, -0.2, 2, 5 in decreasing order.\nAnswer: 5, 2, -0.0524, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-44)\/36 + 1 - (-77422)\/18. Suppose -7*d - 1326 + c = 0. Let k = 924 + d. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 5 = -s. Suppose -4*q - 1 = -9. Suppose q*v = -b, 3*v + 18 = 5*b - 8. What is the remainder when s is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0057503 nanograms to kilograms.\nAnswer: 0.0000000000000057503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -93.31 (c) -12\/25 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 19*h - 33449 = 228491. What is the ten thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 45 + -165. Let s = w - -132. Which is the closest to -0.1? (a) 2 (b) s (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/5 (b) -2 (c) -2\/9 (d) -6 (e) 47134\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1565789 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*u + 880 = -38*u. Let y(c) = -53*c + 4. What is the remainder when y(-3) is divided by u?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54 + 117*b + 113*b + 53*b**2 - 230*b.\nAnswer: 53*b**2 + 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 78, -336, -12 in descending order.\nAnswer: 78, 5, -12, -336","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 15*n**3 - 2*n**2 + 3. Let m(g) = -180*g**3 + 25*g**2 - 35. Suppose -135 = 4*k - 35. Let p(v) = k*s(v) - 2*m(v). Differentiate p(j) wrt j.\nAnswer: -45*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 - -36. What is the least common multiple of 10 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 PM and 7:22 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 - q**2 + 1. Let z(i) = 18*i**3 + 27*i**2 - 27. Suppose 558*o - 563*o + 135 = 0. Calculate o*m(a) + z(a).\nAnswer: -9*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of -w**4\/12 - 2*w**3\/3 - w**2 - 29*w. Let u be d(-3). Solve -2*x - 3 - u = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -13 (b) -3 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(539) + 1 + sqrt(11))*-4*3.\nAnswer: -480*sqrt(11) - 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t**2. Let b(s) = -89*s - 2. Determine b(p(j)).\nAnswer: 178*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 11:50 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 38*f - 179*f**3 - 40*f - 20 + 22 - 3 as n*f**3 + p + s*f + c*f**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5146, 10473, 15846, 21265, 26730, 32241?\n\"Answer: 23*g**2 + 5258*g - 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 4 = 0, 4*j + 126*l = 129*l - 22 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -0.1, -11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -476158 or -476096?\nAnswer: -476158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 750 and 10607250?\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (88\/20)\/((0 - 6) + 14). Let o(g) be the second derivative of 2\/3*g**4 + 0*g**3 + 0 + 0*g**2 - 6*g - y*g**5. Find the third derivative of o(v) wrt v.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12062347849359 - -4?\nAnswer: -12062347849355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g + 1. Let s(a) = -a**2 + 3. Let b(y) = y**2 + 1. Let k be b(-3). Let m be 2\/k - 12\/(-15). Let o(r) = m*j(r) - s(r). Determine o(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -44 - -18 - 24 - -9?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -3984.816 to the nearest ten.\nAnswer: -3980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 + 5*b - 2. Let g be o(-6). Let v(c) be the second derivative of -c**5\/20 + c**4\/3 - c**3\/6 + c**2 - 3*c. Calculate v(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1 + 0)*(10*p**3 + 15*p**3 - 13*p**3)*(-2 - 1 + 1) to the form l*p + m*p**2 + k*p**3 + t and give k.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -131, -543, -1227, -2183?\nAnswer: -3411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-12)*w**(-5\/2))\/(w**(-17)*w\/(w\/(w\/(w*w**(8\/5))))) assuming w is positive.\nAnswer: w**(41\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together -146056663728 and -610.\nAnswer: -146056664338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 34\/85 - 8\/(-5). Let s(i) = -i**3 + 4*i**r - i + 3*i - i. Let o(x) = x + 15. Let z be o(-11). What is s(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 PM and 10:45 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 1976*z - 71226. Determine w(36).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 313928?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2842937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 7*g + 10 = 0. Suppose 4*v - 2 = g. Find the common denominator of (0 - v) + (-285)\/(-36) and -43\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4477919.\nAnswer: 17, 29, 31, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 6) in base 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2092 divided by -1.\nAnswer: 2092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189234 is divided by 11737.\nAnswer: 1442","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - p**2 + 2*p + 1. Let x = -68 - -70. Calculate b(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_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: Let t = -710 + 720. Suppose 3836 = t*f - 1284. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l**3 + 37*l**2 - 21*l**2 - 16*l**2.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -60, -627, -2270, -5559, -11064, -19355, -31002?\n\"Answer: -95*v**3 + 32*v**2 + 2*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -5*d**2 + 101*d - 34. What is the least common multiple of m(18) and 40?\nAnswer: 1640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1304371 + -1304334.51997. Let p = 0.09003 - d. Let k = 37 + p. What is k rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 69 = -0*b - 5*b, 3*z - b - 175 = 0. Is z a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-66)\/(-28) + 24\/(-16). Suppose 2*t - 4 + 1 = -g, -2*t + 4*g = 2. Which is smaller: t or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 314\/5*(-25)\/(-5) is divided by 64 + (-7)\/1 + 4 + 4\/2.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2.57 (b) -4 (c) -38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, -1, -15, -37?\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(1\/34)\/((g**(1\/24)*g)\/g) assuming g is positive.\nAnswer: g**(-5\/408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2791 is divided by 380.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 3 - 1 = -3*s, -s - 2 = -5*c for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/39492 and -67\/2?\nAnswer: 39492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/4392 and 41\/90.\nAnswer: 21960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 3*n - 42 = 0, 894*d + 5*n - 22 = 893*d. Let x = -2 - -2. Sort d, x, 2 in ascending order.\nAnswer: x, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 9:20 AM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -44*c**3 + 2*c**2 + 5*c - 1. What is the units digit of i(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 4:45 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4a5 (base 14) to base 6\nAnswer: 4145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1a8d7 (base 15) to base 8\nAnswer: -250551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/1380 and 91\/8270?\nAnswer: 1141260","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Is 178131979 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1881 + 6*o + 3*o**2 + 1881 - o - 5*o.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = -5*o - 50, -281*o + 7 = -282*o for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20\/3 and -131\/846.\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -13211, -13072, -12933, -12794, -12655?\n\"Answer: 139*b - 13350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 317 (base 9) to base 12.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of -r**4\/28 + 29*r**3\/21 + 61*r**2\/14 + 31*r\/7 - 197. Solve z(o) = 0.\nAnswer: -1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 - 31*w**2 - 57*w - 12. Let v be i(-29). Is -41 at least as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1386715 is divided by 231023?\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/692 and 99\/4?\nAnswer: 692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/1462 and ((-12)\/(-144))\/(153\/14175*5).\nAnswer: 2924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-102)\/27 + 4 - (-16)\/9. Solve 3*w = -2*z + 1 + 7, 2*z = -u*w + 8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(75) + 0 + -1*sqrt(75) + -3)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 319, 452, 585, 718, 851, 984?\n\"Answer: 133*k + 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 14\/19*r**2 - 10\/19*r**4 - 4\/19*r - 2\/19*r**5 - 18\/19*r**3.\nAnswer: -2*r*(r + 1)**3*(r + 2)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -520 or -30617\/59?\nAnswer: -520","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -237*a - 222 = 178*a - 369*a - 2798 for a.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 122 + 98. Let r be (-6)\/21 - v\/(-7). Suppose -4*g + r = -10. What is the third smallest value in 5, g, 0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -15*i. Let n(y) = -193991*y**2 + 1. What is n(a(t))?\nAnswer: -43647975*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of ((-8625)\/45 - 5)\/(6\/(-27))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-38)\/4)\/(2\/(-12)). Let g be 14 + -16 + 116\/c. Which is smaller: g or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 AM and 12:27 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 plus -1998330908975?\nAnswer: -1998330909015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, -1, -126, -4 in descending order.\nAnswer: 4, 1, -1, -4, -126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*r = 16*r + 6. Suppose -r*k = -113 - 27. Is 30 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of -41*f**6\/60 + f**5\/30 + 4*f**4\/3 + 31*f**3\/6 - 15*f**2 - 4. What is the remainder when j(-1) is divided by 57?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1347*u**6 - 520*u**4 + 3093374*u**2?\nAnswer: -161640*u**3 - 12480*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -267 + 277. Solve -3*z + t = 7 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/2 + (-7)\/(-2). Let o be (-420)\/(-69) + 44\/(-506). Is 214\/o - w\/(-9) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -x**3 - 75*x**2 + 431*x**2 + 5*x + 417*x**2 + 144*x**2 as c*x + t*x**3 + g*x**2 + q and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 AM and 5:02 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a century in decades?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-9))\/(16\/(-24)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, k: 5, r: 2, s: 1}. Give prob of picking 2 r.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**1)\/(f**(-6)*f)*f**(2\/9)*f**5 assuming f is positive.\nAnswer: f**(92\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s**5\/6 - 1049*s**4\/6 + 15783*s**3\/2 + 698341*s**2\/6 + 682619*s\/3 - 980980 = 0. Calculate s.\nAnswer: -7, 2, 60, 1001","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 2*m - 5*a, 9 = 224*m - 227*m + a for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 35*x**3 + x**2 + 2*x - 2. Suppose -3*c + 16 = 4*l, -3*l - 2*c + 19 = 8. What is y(l)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 24*r + 9. Let v(w) = -13*w - 5. Let p(z) = 6*m(z) + 11*v(z). Calculate p(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*r - 93 - 91 + 162. Suppose -5*b + 0*b = b. Solve -c - r = -b for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219 = 14937*a - 15010*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 1\/8, -2\/27, 6, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 - 6. Let j be (6\/5)\/((-12)\/80). Let t be (-10)\/(-45) - j\/(-36). Give o(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*s + 112197784 + 74262157 = 130*s. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 528?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - -1*(-1 + 3). Let p be 6*6\/9 + t. Suppose p*o - o = 268. List the prime factors of o.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-7)\/21)\/(3*(-15 + 33)))\/((-2)\/(-6))\nAnswer: -1\/54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 4491, 2, 0 in decreasing order.\nAnswer: 4491, 2, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-48)\/21 - -2)*-7. Differentiate -1 + z - 5*z + g + z with respect to z.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87.21228 decades in millennia?\nAnswer: 0.8721228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (-9 - (-3 + -2))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 11) in base 13?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(60\/16)*(-2)\/(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/3? (a) 2 (b) 0.5 (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21066180?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1974, 1893, 1744, 1515, 1194?\n\"Answer: -2*d**3 - 22*d**2 - d + 1999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 8:54 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 2 = -5*u. Suppose u*c + 4*v + 1 = -3, v = -c. Does 9 divide 100\/(2 + c) + 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 - 0.1. Let v = -3.85384 - 0.14616. Sort 3, -1, r, v in descending order.\nAnswer: 3, r, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1152, -1145, -1134, -1119, -1100, -1077?\n\"Answer: 2*o**2 + o - 1155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -69*s**3*u**2 + 24*s**3 - 56*s**2*u + 5*s*u - 4*s - 1738*u**2 + 1 wrt u?\nAnswer: -138*s**3 - 3476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6897 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 18 - (1 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 3. Let c be (49\/(-1))\/(0 + k). Suppose 3*t = 133 - c. Is t a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6\/17 + 64\/85. Let c(s) be the first derivative of 0*s**4 + 2\/3*s**3 - 1 + 0*s + 0*s**2 - r*s**5. Determine u so that c(u) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 18*k + 46 = -32, -5*f + 4*k = 35 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4\/357 - 16474\/4641. Which is smaller: b or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8.991 - 8.891. Which is the second smallest value? (a) u (b) -1.3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + f**2 - 2*f + 2. Let m be r(0). Suppose 5*p + 0*y + y - 244 = 0, m*p - 97 = -y. Let o = 44 - p. Which is smaller: 3 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4179a0 (base 13) to base 15.\nAnswer: -20385d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 0 (b) 0.029 (c) -1 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 3892 = 2*g - 0*g, 0 = -5*g + 3*n + 9739. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2958, -3445, -4748, -7275, -11434, -17633?\n\"Answer: -68*z**3 - 11*z - 2879","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2999 is divided by 344?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -3 (c) -2 (d) 58 (e) -6 (f) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by -4.\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 12:12 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q + 8. Let v be i(7). Suppose 0 = 8*r - 6*r - 10. Suppose 0 = -r*t + v + 4. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**2\/11 + 240238*l\/11 + 128572248\/11 = 0.\nAnswer: -534, 240772","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 AM and 7:02 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2030576 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (1838 - 1821 - (0 + -1 + 138))?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 292*w - 13*w**2 + 214*w - 176*w + 3*w**3 + 228*w + 73*w**2 wrt w?\nAnswer: 18*w + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 53*l**2 - 26*l**2 + 8 - 25*l**2 + 10*l. Calculate the remainder when h(6) is divided by 36.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(-2\/11)*u\/(u**4*u)*u*(u\/(u**(-7)\/u))\/u*u*u*u\/(u\/u**(-5)) assuming u is positive.\nAnswer: u**(31\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8502 + 3*i + 8515 - 17017.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*j - j = 17*j + 11*j + 920 for j.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 34\/145 + -4033\/1740. Let o = 251\/132 + l. What is the third biggest value in -0.1, o, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(-2)\/162*-3. Let w = 29\/54 + a. Suppose x**2 + w*x + 0 + 1\/2*x**3 = 0. Calculate x.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s**4 + 2324*s**3 - 451620*s**2 + 29650204*s - 57512456 = 0 for s.\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 - 1)*(0*j + j**3 + 0*j) - 3*j**3 + 2*j - 2*j + j**3 - 2*j**3 + 3*j**3 + (0*j - 3*j + 4*j)*(0*j**2 - 3*j**2 + j**2).\nAnswer: -6*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -126223316*k**2 + 8*k + 12287817 wrt k?\nAnswer: -252446632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 65, 164814 in increasing order.\nAnswer: 3, 65, 164814","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 241 (base 10) to base 9\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lfsflsfsslffllllisll. What is prob of sequence li?\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 3*s**2 + 0 - 3 + 7 - 2*s - s**3. Let u = 313 - 310. Let b be t(u). Put 0, -5, b in ascending order.\nAnswer: -5, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1060660 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r - 16. Let b(z) = -2*z + 15. Calculate 2*b(c) + 3*i(c).\nAnswer: -c - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -68 + 44. Let n = 58 + l. Suppose -4*k - 2 = -n. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -y - 3*f, 4*y - 2*f + 6*f = 0. Let z = 965 + -820. Suppose -5*c + 31 + 24 = v, c = y*v - z. Is v a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34.7 + -32. What is v rounded to zero dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h**2 + 7*h + 13. Let j(p) = 2*p**3 - 11*p**2 + 8*p - 6. Let m be j(5). Let w(g) = g**2 - 3*g - 6. What is m*w(l) + 4*a(l)?\nAnswer: l**2 + l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 147084?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 63 - 42. Suppose -154 = -7*k - d. Solve -5*y = -g - y + k, g + 5*y = -17 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -283 + 286. What is the first derivative of 26*y**3 - 44*y**g + 82*y**3 + 40 wrt y?\nAnswer: 192*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -762 - -1078. Suppose -61 = -j - 4*g, 4*j - g = g + s. What are the prime factors of j?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i - 60771 + 0*i + 60654 - i + (-4*i - i + 2*i)*(-1 - 3 + 2) + i - 5*i + 6*i in the form n*i + v and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - c**2 + c + 9. Let t(u) = 12*u**3 - 189*u**2 - 279*u - 42. Let f(z) = -t(z) + 6*y(z). Solve f(o) = 0 for o.\nAnswer: -1, -1\/2, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/(-51) - 0) + (-2033)\/(-1938). Let m(n) be the third derivative of 0*n + 0 + 3*n**2 + 1\/4*n**4 + a*n**3. Find the first derivative of m(g) wrt g.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*o**3 - 19*o**3 + 10*o**3.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 225972232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-2) - (-7)\/(-2). Which is the nearest to 1\/4? (a) -4 (b) l (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (363\/9)\/((-9867)\/26910).\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - -2. Let u be -2 + -1 + w + -11. What is the tens digit of (-4)\/(-6) - 146\/u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of h**7\/63 + h**6\/45 - h**5\/10 - 5*h**4\/18 - 2*h**3\/9 - 2*h - 1. Let i(c) be the first derivative of q(c). Factor i(r).\nAnswer: 2*r*(r - 2)*(r + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7612.43 millilitres in litres?\nAnswer: 7.61243","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or -40083?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 5 - 2 + 8424*x**2.\nAnswer: 8424*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 4)*2*12\/(-18). Suppose -7 + 1 = -2*x, -29 = -n*y - 3*x. Put -4, -1, y, 1 in descending order.\nAnswer: y, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 1279*y + 1283*y - 35504, 4*q = 3*y + 71019. List the prime factors of q.\nAnswer: 2, 3, 11, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, u: 9}. What is prob of sequence ux?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h + 18. Let f be x(10). Let o be (-171)\/f*(0 + (-2)\/3). Solve 2*r + 9 = -o*b, r + 0 = -3*b - 6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20\/(-25) + (-447)\/(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/672 and -11\/7.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 6:03 AM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -177 (base 16) to base 15\nAnswer: -1a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 145 and 2755?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, -3, 2, 52 in increasing order.\nAnswer: -3, 1, 2, 5, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.47 - 0.03. Let z = h - -1. What is z rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -216, -209, -196, -177, -152, -121?\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d + 8 = -6 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.07970142 rounded to 3 decimal places?\nAnswer: 1.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -q**2 + 1245*q + 3*q**3 - 1245*q wrt q?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 78410196 and 25434?\nAnswer: 2826","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 391122 and 972.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3885 rounded to the nearest one hundred?\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.6541658 microseconds?\nAnswer: 654.1658","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 196, 220, 288, 424, 652, 996, 1480, 2128?\n\"Answer: 4*p**3 - 2*p**2 + 2*p + 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 PM and 2:34 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 16*h + 11*h + 2 + (-2 + 2*h + 2)*(0 + 4 - 2) + (-2*h - 2*h + 0*h)*(-6 - 1 + 0).\nAnswer: 27*h + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 57, -17, 8?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v + 4. What is z(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 - 28. Let p = y + 11.00000021. What is p rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 59 = -4*b - 72, -4*j - 4*b - 28 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-31)\/(-1) + (-2 - -4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -5*d**5 + 1844585*d**4 + 3689230*d**3 - 14756670*d**2 - 33202665*d - 16601355 = 0.\nAnswer: -3, -1, 3, 368919","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7117 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(90\/8))\/(16\/(-40))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 25, 3344540, -3 in increasing order.\nAnswer: -3, 2, 25, 3344540","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 2\/3 (c) -0.113 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*f + 2*f = -16*f - 60. Let q = 2 + -2. Put q, f, -3, -4 in descending order.\nAnswer: f, q, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l**3 - 4*l**3 + 92*l - 92*l.\nAnswer: -6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1910*a**3 + 6982 - 6982)*(1 - 2*a + 4*a - 3*a).\nAnswer: -1910*a**4 + 1910*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.09 from -624.1.\nAnswer: -624.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10495645 or -10495642?\nAnswer: -10495645","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 1:47 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2023350827 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 84 to the power of 1\/4, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1265 + -1211. What is the lowest common multiple of l and 11?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(143)*-1 + sqrt(143))\/(sqrt(528)\/sqrt(3)) - ((sqrt(91) + 5*(sqrt(91) + 1*sqrt(91)))\/(sqrt(7)*2*-2 - sqrt(7)) + -3).\nAnswer: 3 + 17*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -8*w - 206. Let v be g(-26). Let q(r) = -r - 4. Let h be q(-4). Suppose h*j = j - v. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(66)*1 + sqrt(66))*-4 + (2*sqrt(66) + sqrt(66) - sqrt(66))*2)\/(sqrt(6)*-1*4 - sqrt(66)\/(sqrt(11)*1)))**2.\nAnswer: 176\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*r**2 + 160*r**3 + 26*r**5 + 27*r**5 + 295*r**4 + 57*r**5 = 0. Calculate r.\nAnswer: -2, -1\/2, -2\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 r when four letters picked without replacement from rjjrrryryyyy.\nAnswer: 10\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = g + 183, -5*g - 7085 = 5*m - 3435 - 3425 for m.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31.398 - -3.\nAnswer: -28.398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7452\/192 + (-183)\/(-976) + (-1 - 9).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xh when two letters picked without replacement from hwwxccchfhhfwwwcrwx.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(((u\/u**(2\/15))\/u)\/u))\/(u**1*u))\/(u**1*u*u)**46*(u\/u**(-1\/5)*u*u*u\/((u*u**(4\/7)\/u*u)\/u))\/(u**(-1\/12)*u**(-5)) assuming u is positive.\nAnswer: u**(-10849\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, s: 2, q: 1, y: 1, r: 1, b: 1}. Give prob of sequence dqrb.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 200 - 186. What is the smallest common multiple of d and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(99)*1 - sqrt(99))*6 + sqrt(99) - sqrt(99) - sqrt(99)*-1*5)\/(-1*(sqrt(729) - sqrt(729)*5)))**2.\nAnswer: 275\/1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 26, 5 in ascending order.\nAnswer: 3, 5, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 13\/(-39)*(-1 - 6 - 2). Let i = 1111 + -1111. Let f be ((-3)\/(-3))\/(1\/1). Solve 2*h + f + m = i for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 11 = -2*r. Let y = 0 + r. Suppose k = -y*k + 125. Is k a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -305 divided by -61\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*c = u + 51*c - 5347, -4*u = 2*c - 21394. Is 61 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9821\/427 + 5400\/(-125)?\nAnswer: -101\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d + 0*d + 3*d + (-5 + 4 + 3)*(-4*d + 3*d - d) - 2453 - 1431*d + 2453 + (-3 - 1 + 2)*(-2*d - d + 0*d) to the form l*d + r and give l.\nAnswer: -1427","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -995? (a) -4.8 (b) -0.08 (c) 4 (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 513550.4 tonnes to nanograms.\nAnswer: 513550400000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -3*p**2 + 14*p - 52. What is l(0)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 309582972 and 39504?\nAnswer: 9876","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -13*g. Let s(j) = 12*j. Let r(h) = 6*s(h) + 5*x(h). Let i(b) = -20*b. Let f(o) = 5*i(o) + 14*r(o). Let d(t) = 22*t. Calculate d(f(n)).\nAnswer: -44*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 2, -2\/9, -1, -4, 5, 80\/9 in decreasing order.\nAnswer: 80\/9, 8, 5, 2, -2\/9, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 566059 take away 0.4?\nAnswer: 566058.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - k + 39. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cj when two letters picked without replacement from jiicijiciiciiici?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 316420549*h**3 + 329992274*h**2 wrt h.\nAnswer: 1898523294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*q - 10*q + 3*g - 3150, -622 = -q + g. Is q a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h - h + 1 + 7. Let c be w(-6). Suppose 4*k - 12*k + 216 = 0. Solve -5*x - k = -3*b, 0 = -0*b - c*b - 5*x - 7 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 - 4*c**2 + 4*c - 1. Let h = 23 + -28. Give n(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 3)*(-g**5 + g**5 - 2*g**5) + 3*g**5 + g - g + (-g**2 + 2*g**4 + g**2)*(2*g + 0*g - 4*g).\nAnswer: g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13987?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-1))\/((-1)\/(15\/15))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 309\/119, -5, -14\/9, 2 in descending order.\nAnswer: 309\/119, 2, -14\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + -54b4?\nAnswer: -54b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 29*d**2 + 1444*d - 370. Calculate u(26).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*k**4 - 52*k**3 + 12*k**2 + 52*k - 32 = 0. What is k?\nAnswer: -1, 1, 8\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + l + l + 0)*(8363*l**4 - 19624*l**3 + 19624*l**3).\nAnswer: 16726*l**5 - 8363*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 244625805?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 7342.\nAnswer: 36710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4*-2824\nAnswer: 11296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 200 = -4*f, -2*z + 3*z = 0. Let d = -50 + f. Let k(s) be the third derivative of s**6\/120 - s**5\/60 + 4*s**3\/3 + 21*s**2. Determine k(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 6*d - 3*d - 5*q, 0 = -2*q + 8. Find the common denominator of (-1)\/(-5)*(-615)\/d and 19.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*m = -36*m + 45 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-54)\/4*(-25)\/((-600)\/16).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1012022111210100 (base 3) to base 13\nAnswer: -3733b15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -821 - -2042. Does 33 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t**3 + 224*t**2 - 454*t + 227. Let d be y(-114). Sort -92, d, -2 in increasing order.\nAnswer: -92, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 775960?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 5 = 31. Let g = d - 236\/9. Which is the closest to -3? (a) -0.1 (b) 0.2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12 or 2162\/191?\nAnswer: 2162\/191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4302931 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 8*a**2 + 24*a - 19. Let t(s) = 3*s**2 + 8*s - 6. Let n(w) = 11*t(w) - 4*z(w). What is the units digit of n(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 34*m**2 + 4)*(-4*m**2 - m**2 + 7*m**2).\nAnswer: -68*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbkkggbikkbi. What is prob of sequence bib?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146 is divided by 38?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 1 (b) 146 (c) 609\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 4:17 AM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -83*o**3 - 15*o**2 + 5. Let g(i) = -i**3 + 3*i**2 - 1. Give 20*g(w) + 4*k(w).\nAnswer: -352*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-48)\/162*-15 + (-24)\/54. Solve 0 = -5*u + 4*b - 19 + 29, -5*b = y*u - 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(11) + 2 - ((sqrt(11) - 2*sqrt(11)) + 4).\nAnswer: -3 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 93 - ((-4)\/(-14) - 99\/77). Let o = -3 + 1. Is z + 0\/(-1 + o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 55998842\/(-8) - 9*(-2)\/(-24). Let v = -11699856 - f. Round v to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13737 times 9\nAnswer: 123633","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-3)*146\/12 + -8. Let p(l) be the first derivative of -2\/27*l**3 - 2\/9*l**2 + y*l**4 - 17 + 2\/45*l**5 + 0*l. Factor p(v).\nAnswer: 2*v*(v - 1)*(v + 1)*(v + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 998318.\nAnswer: 2, 499159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1239708 a multiple of 118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 3*p**3 + 123*p**2 - 1128*p + 2352 = 0?\nAnswer: -49, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(((-220)\/165)\/(2\/3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*w + 14*w + 442*w**3 - 8*w.\nAnswer: 442*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 6 - 23*o + 15*o + 9*o - 6. Let g(y) = 7*y + 45 + 3*y - 11*y. Calculate g(l(b)).\nAnswer: -b + 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iipppiimim. What is prob of picking 3 p and 1 m?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 3*k + 17 = 0, -2*q + 9 = 2*k - k for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1432 (b) -6\/23 (c) 7 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7.78 + 7.73. What is the third biggest value in b, -6\/11, 3?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5*(4\/(-5) - 0). Suppose 5*m - 29 = 5*s - j, -2*s + 4*m - 14 = 0. Suppose z + 0*z = -5*l - 10, 2*l - 3*z + 4 = 0. Which is smaller: l or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 7 + 2 + 11 - (3 + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 77 + -617\/8. Which is the second smallest value? (a) 0.2 (b) n (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*i = 14*i - 44*i - 4015 + 171 for i.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -53 - -77. Suppose -3*n = 5*m - 211, n - 9*m - 76 = -5*m. Calculate the highest common divisor of y and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*o + 4469432 = 4467092 for o.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 - (2 + 154\/(-2)). Suppose 0 = -4*n + 5 + w. Is n a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4948.\nAnswer: 2, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 209 - 65. What is the common denominator of (-4 - (-93 - 0))\/b and (0 - 1)\/((-6)\/(-26))?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2663064 + -102794541.\nAnswer: -100131477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of -z**6\/30 - 2*z**5\/5 - 11*z**4\/6 - 4*z**3 - 16*z**2 + 5*z. Suppose g(l) = 0. What is l?\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/3 + 10\/(-6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-3) + (-5 - (1 + -3))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32 - 34. Let j be c\/(-3)*(-1 + 55\/10). Suppose -2*a + 210 = j*a. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216615 is divided by 2007.\nAnswer: 1866","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5633?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7)\/(-2)*180\/35. Calculate the highest common factor of 72 and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 307064*l**3 - 613915*l**3 + 306843*l**3.\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.183 - -0.183. Suppose -10 = -5*b + 5*j, -6*b + 4*b + 4 = -j. What is the third smallest value in b, d, -1\/6?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 - 5*y**2 - 2*y + 6. Let m(u) = -u**2 + 7*u + 11. Let w be m(8). Let h be v(w). Let r = h + 23. Calculate the highest common divisor of r and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1753 - -1755 - (-29 - -1)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 15*q**2 + 10*q - 10. Let d(r) = -r + 1. Let u(i) = 6*d(i) + f(i). Calculate the remainder when u(3) is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 9 = -1. What is the first derivative of -j + 4*c**2 - 7*c + 7*c wrt c?\nAnswer: 8*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, o: 12, a: 1}. Give prob of sequence ya.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 35360 and 37570?\nAnswer: 601120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 196387.4 years in millennia?\nAnswer: 196.3874","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/2, 1, -6, -0.6, -3?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*p**2 - p**2 + 15*p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4\/9 (b) -0.1 (c) -6 (d) 4\/9 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -142, -271, -398, -523, -646, -767, -886?\nAnswer: -1003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -7. Suppose 0 = -x - 5*p - 10 - z, -x = 2*p + 5. Suppose -3 = -4*g + x. Put 5, -8, -4, g in increasing order.\nAnswer: -8, -4, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 379877?\nAnswer: 379877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 338*f + 453 = 366*f + 3393 for f.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3711 is divided by 156.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -6*k + 53. Let i = 61 - k. Solve 5*f = i + 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = p - 0*p, -c + 20 = -4*p. Suppose -5*b - 4*v = -83, 2*b - v = -4*v + 36. Is (c\/(-6))\/((-2)\/b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1360)\/(-221))\/(1120\/1820)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2754*t - 2133*t - 1471*t - 1441*t - 3399*t - 2*t - 3*t + 4*t - 2*t + 0*t - 2*t + (t - 5*t + 2*t)*(-1 - 1 + 3) in the form d*t + j and give d.\nAnswer: -11205","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205764 is divided by 102770.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82 + 92 = -2*z + 5*k, 6*z + 4*k = 8 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*n - 2281 - 3319 = 249*n for n.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, h: 2}. Give prob of picking 2 h.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l = -0*l + 16. Determine z so that z - 12*z**2 - 12*z**l + 12*z**2 + 4*z**3 + 12 - 5*z = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2184?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45630884, 45630876, 45630864, 45630848?\nAnswer: 45630828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 + 14. Let t(v) = -v**3 - 6*v**2 - 2*v + 6. Let h(q) = -2*q**3 + 2 + 4 - 13*q**2 - 4*q + 2*q**2 + 5. Determine n*h(g) + 11*t(g).\nAnswer: g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o - 3*w - 6, -8 = 2*o + 3*w - 2 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -9\/41, 1 in descending order.\nAnswer: 1, -9\/41, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-8)*(-20)\/(-15)*-15. What is the tens digit of ((-669)\/a + -1)\/((-2)\/(-5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - l**2 + 4*l. Let k be t(0). Let s(o) = 2*o - 4. Give s(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -22, -222, -762, -1810, -3534?\n\"Answer: -28*y**3 - 2*y**2 + 2*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 0*l. Let x(c) = 2*c + 1. Let q be x(1). Let m be 8\/108*q\/2. Sort m, -2, l in decreasing order.\nAnswer: m, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/6*(350\/(-15))\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 11*b = -16*b + 449325, -2*g = -2*b - 179714. Suppose 0 = -15*p - 8*p + g. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/65, 16, -0.1, 1, -1\/3, 0.0366?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1576759, 3153490, 4730235, 6307000, 7883791, 9460614, 11037475?\n\"Answer: p**3 + p**2 + 1576721*p + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 935759147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 101121000211102 (base 3) in base 15?\nAnswer: 7631e8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 6*l - 26*l - 81*l - 3*l. Let n(t) = t. Give n(b(z)).\nAnswer: -104*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 7138042 divided by 1\nAnswer: 7138042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 5 + (0 + sqrt(99) + -2)*-2.\nAnswer: -6*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1317968059 to the nearest integer?\nAnswer: 36304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111 = 8*m + 31. Solve -20 = -h + 2*h + 3*p, 0 = -2*p - m for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15.00000022 + 15. What is f rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 242 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4682401 to the power of 1\/2, to the nearest integer?\nAnswer: 2164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -92*o + 599. Calculate i(5).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 22, -7, 4, 163 in decreasing order.\nAnswer: 163, 22, 4, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 2:02 AM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 22 = -7*w + 4*w, -3*w + 5*k = 13. Suppose 5*j - 34 = -w. Let c(y) = -j - 7 + 13 - y. Calculate c(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1513949.4 minus 0.4?\nAnswer: -1513949.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 57 + -56.8. Which is bigger: 32 or f?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttmmdmtmd. What is prob of picking 1 t and 2 m?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -1525*w - 60273 + 60273 as n*w + c and give n.\nAnswer: -1525","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 617669.1 hours to microseconds.\nAnswer: 2223608760000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-36)\/27 - -2)\/((-2)\/(-3)). Calculate the common denominator of -7 + 804\/(-48) - (2 - p) and -71\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 159 + -169. Let w = -8 - v. Which is the smallest value? (a) -1 (b) w (c) 4 (d) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*m + 97775 = 216632 + 138904. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21.117 * -0.1247.\nAnswer: 2.6332899","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1897*w - 182 = -1923*w for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000376 to four dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 16, 27, 38, 49, 60, 71?\n\"Answer: 11*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + 11*d**2 - 6*d - 7. Let b be y(8). Suppose 5*s + l - 240 = -3*l, 0 = 3*s + l - b. Let z be s\/78 - (-17)\/(-51). Which is bigger: z or 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 195 + -123. Let f(a) = -2*a**2 + a + 7. Let j be f(-5). Let b = h + j. Does 10 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*p = 17*p + 4 - 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-4) - (-4)\/(-16)*4. Let l(y) be the first derivative of 4 - 5\/2*y**2 + t*y. Let c(h) = -2*h. What is l(c(o))?\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2813*c + 30939. What is q(11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9801 is divided by 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*p + 6*p + 3*p - 9*p.\nAnswer: 21*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n + 3*n**2 + 7*n**2 + 4*n**2 + 65*n**2 + 10. Let g be x(9). Let l = g + 6573. What is l rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/41)\/v**(-19))\/(v**(-10)*v*v*v**0) assuming v is positive.\nAnswer: v**(1105\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 + -10. Let t = m + 4. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**2 + 23*n + 67. Let q be i(-14). Let z = 557\/4 - q. Determine w, given that -3\/4*w**3 - 3\/4 - 9\/4*w - z*w**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 4*r - 92, -2*r + 5*p + 76 = 30. Let n(w) = w**2 - 29*w + 123. Determine n(r).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, m: 1, g: 5, i: 1, r: 1}. What is prob of sequence ire?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9151, 18414, 27787, 37270, 46863, 56566, 66379?\nAnswer: 76302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -2. Suppose -j*f + 44 = -f. Is f a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.07, 3, -8\/147, 1\/2, -0.18, 0.7?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*j, 5*j + 26 = -2*h + 5*h. Let u be h\/(-3)*15\/10. Let x = 4 - 9. Which is the nearest to u? (a) -2\/7 (b) -4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13.6 in 0, -6, 0.165?\nAnswer: 0.165","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 404210, 808418, 1212626, 1616834, 2021042?\n\"Answer: 404208*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -660 - -1333. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118314449.\nAnswer: 11, 10755859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of -p**4\/4 + 2*p**3 - p**2 + 8*p - 2. Let g = -311 - -317. What is f(g)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of -d**7\/84 - d**6\/30 - d**5\/40 + 8*d. Solve o(t) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-69)\/(-30) - 2)\/((-1)\/(-2)). What is the nearest to 1 in -3\/2, d, 2\/11?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 34800872 + -34800869.6000483. Let d = 0.18 + 2.22. Let y = d - l. Round y to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2.4, 0, 10, 0.3, -4, 23.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*m + 166 = 2*m, 3*f = -2*m + 488. What is the remainder when 3\/6*2 + f is divided by 178\/(-1780) - (-1 - (-642)\/(-20))?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s - 2 + 0 + 1 + s - 3 + 3 + 3 - s - 3 + (s + 0*s + s)*(2 + 0 - 1) + s - 2*s + 0*s + 0 + 0 + s - 1 + 2*s + 1 + 3*s - s - 8*s + 2*s + 0*s - s.\nAnswer: -2*s - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 131 + -109 - (-38 + 1)\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v - 10. Suppose 12*s - 15*s = -24. Let p be f(s). Suppose -p*j + 805 = -j. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 6*b + 5 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1978813 at most 1978814?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 108755\nAnswer: -43502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5\/6, 2, 3, -4\/5, -3, 32?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26715, -106851, -240409, -427389, -667791, -961615?\nAnswer: -1308861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 146\/10 - 12\/(-30). Let h(u) = -u**3 - 8*u**2 - 6*u + 6. Let f be h(-7). Let y = f - -3. Solve 12 = -4*b, 0*j - p = 3*j + y*b for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 454272405.\nAnswer: 3, 5, 269, 112583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 257 is divided by 90.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (6\/4)\/(51\/(-34))*1*-4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 2, -17*p + 19*p + 5*u + 10 = 0. What is the biggest value in 5, p, -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -5*o - 0*o + 47, 4*t = -4. Suppose -o = -2*s + 1. Suppose -s*h + 11 = 1. Calculate the lowest common multiple of h and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 261 and 2291?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 770 and 9086?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19571 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 9:06 AM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1347, 2692, 4037, 5382, 6727, 8072?\n\"Answer: 1345*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -5*g + 21 - 10, 4*p - 36 = 4*g. Suppose -5*b = -7*z + 3*z + 17, 0 = -z + 4*b + p. Solve -1 = -k - 0*x - z*x, 2*x - 6 = 2*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, e: 4, n: 5}. What is prob of sequence ncnn?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2221030123 - 21?\nAnswer: -2221030210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.1 + -3.9. Which is the nearest to -11? (a) v (b) -0.5 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -163, 0.4, -13, 61?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2.7 and 68994.\nAnswer: 68991.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1301 - -3?\nAnswer: 1304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000016135 rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 2:13 PM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 4\/7 (c) 67 (d) 6 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + 3*u**2 + 3*u - 3. Let f be (1 - (-1 - -4)) + 5. Suppose -2*h = -f*h + 3. List the prime factors of p(h).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of f**4\/12 + 8*f**3\/3 + 101*f**2\/6 + 38*f + 2798. Factor x(t).\nAnswer: (t + 2)*(t + 3)*(t + 19)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1880543321 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -4*g - 21. Let r be z(-6). Suppose -r*p = -6*p. Let y(f) = 0*f**2 + p*f**2 + 6*f**2. Let n(b) = -b**2. Calculate n(y(t)).\nAnswer: -36*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -3033.1 to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 171.4 - 171.5. Let b = 19.9 + -20.14. What is the second smallest value in i, b, 0.1, -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a microsecond in nanoseconds?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (11 - 18) + -2 + 7?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 + 2*b - 3. Let p be m(2). Let z be (-3)\/p*(1 + -6). Solve 0 = -z*s - 0*s - 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = 22*h - 64*h - 492 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of n**6\/120 + n**5\/12 - 5*n**4\/24 - 8*n**3\/3 - 2*n**2 + 195*n. Let d(f) = f**3 + 3*f**2 - 3*f - 8. What is -5*d(v) + 3*l(v)?\nAnswer: -2*v**3 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of 11*w**6\/300 - w**5\/50 + 23*w**2. Factor u(q).\nAnswer: 2*q**2*(11*q - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + (-145 + 136 - (2 - 24))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27784307 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -1\/4*r**4 + 0*r**2 + 0 - 4*r + 0*r**3. Let b(c) = 2*c**2. Calculate b(w(h)).\nAnswer: 18*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f - 275 = -9*f. List the prime factors of f.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 4*t**3 - 5*t**2 - 2*t + 6. Let v(k) = -3*k**3 + 4*k**2 + k - 5. Suppose 6*m - 7*m + 8 = 0. Suppose 52 + m = 15*q. What is q*g(x) + 5*v(x)?\nAnswer: x**3 - 3*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-121)\/143 + -3 + 4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 7) to base 6.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 62 - (-4 - -18) - (41 - 62)?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -61.09 * 70.35.\nAnswer: -4297.6815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - 10000100101001100?\nAnswer: -10000100101010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 246 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 180 and 8743140.\nAnswer: 8743140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -103?\nAnswer: 515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 15 = 3. Suppose -3*g + h = -3*b, -3*g + 5*b = -2 - 1. What is the third derivative of 5*d + 5*d**2 - 4*d**g - 5*d wrt d?\nAnswer: -480*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1.7, 0, -2\/87, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1497672\/7 greater than or equal to -213953?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 7*c**2 + 6. What are the prime factors of j(-7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 462 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 419 is divided by 60?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 797 - 790. Let i = -3.56 - -3. Let m = i - 2.44. Which is the second smallest value? (a) 0 (b) t (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/7)\/k)**40\/((k\/(k\/(k**(-2\/35)\/k)*k*k)*k)\/((k**(11\/4)*k)\/k)) assuming k is positive.\nAnswer: k**(-6527\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*(91\/(-21))\/(-13).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 + 35 - (-11 - -1) - 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -28 + 455 + 182 + 236 - 1114*b**3 + 20 wrt b?\nAnswer: -3342*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 151, 153, 157, 163, 171?\nAnswer: 181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/(sqrt(5)*-1))\/sqrt(2) + (5*sqrt(30)\/(sqrt(30)\/sqrt(3)))**2.\nAnswer: -sqrt(3) + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 10*m + 7*m**2 + 2*m**3 - 3*m - 4 - 21*m**2. Let v be z(8). What is the highest common divisor of v and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 7829 = 94. Is y + -1 + -4 + -3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -394, -1475, -3268, -5767, -8966, -12859?\n\"Answer: k**3 - 362*k**2 - 2*k - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57 - 114 - 449*n + 58 - 202*n.\nAnswer: -651*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(19)*2 - sqrt(19) - 4*(sqrt(19) + 1))**2.\nAnswer: 72*sqrt(19) + 1555","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2335 is divided by 49.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 828355625 is divided by 2898.\nAnswer: 2897","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -72273772*r**3 - 77421022*r**2.\nAnswer: -433642632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 6*f = 3, -31 = -n - 9*f - 10 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 195018?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 663985*b + 1327983*b + 5 - 663994*b.\nAnswer: 4*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in nine sixteenths of a day?\nAnswer: 810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = 15*i - 18*i. What is the remainder when 833 is divided by i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 9*x**2 + 3 + (0 + 3 - 5)*(x**2 + x**2 + 0*x**2) + x**2 + 9*x**2 + 5*x**2.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12728 and 2008?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -90244, -180506, -270768, -361030, -451292?\n\"Answer: -90262*y + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of -h**4\/12 + 5*h**3\/6 - 60*h. Calculate p(8).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + 53*w**2 + 40*w - 616. Let o be s(-52). Let h(c) = c**3 - c**2 + 3*c + 1. Let g be h(3). Calculate the highest common divisor of o and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 657*u + 1876*u - 138*u as l + b*u and give b.\nAnswer: 2395","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 1014210642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 254 - 294 = 0. Suppose 141*y + 548 = 143*y. What is the remainder when y is divided by o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*p - 196*p + 1230 = -1902 for p.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-7 - (-6 - 3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-630)\/(-84))\/(((-4)\/(-2))\/72) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -16*t**3 + 16*t**2 + 7*t - 12. Let q(i) = -13*i**3 + 14*i**2 + 6*i - 12. Let z(c) = 4*k(c) - 5*q(c). Determine z(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 g when three letters picked without replacement from ddgahgyayydaagaa.\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 69*o**6 + 44*o**2.\nAnswer: 8280*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z. Let y(m) = -125016*m**2. Give x(y(k)).\nAnswer: -125016*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 127 + -125. Suppose 3*q - 4 = 5. Find the third derivative of 3*t**5 + t**5 + n*t**2 - q*t**5 wrt t.\nAnswer: 60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.02 + -0.42. Let y = -4.4 - p. Let q be (-200)\/42 - 36\/(-84). What is the third smallest value in q, y, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.46554 - 0.23446. Let n = -4 + 9. What is the second biggest value in j, n, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34668, -69332, -103990, -138642, -173288?\nAnswer: -207928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63 and 3518487.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 3*z**2 - z. Let v be w(-2). Let n = v - 2. Is (2 - n)*3 - -1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/516 and (-30)\/(-90)*(-3)\/(-17) + (-1270)\/17544.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x**2 - 6*x. Let b(q) = q - 11. Let j be b(8). Let k be s(j). Let u be ((0 - k) + 1)*(-7 - -7). Solve u = -3*w + m, 5*m = -9 + 24 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 140, 4, -0.1, -23, 0, 5 in decreasing order.\nAnswer: 140, 5, 4, 0, -0.1, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + (25\/5 - 8). Let w(k) = -k**2 - k + 49. What is the units digit of w(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -161 - -160.8. Which is the biggest value? (a) 4 (b) -4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*m, -2*q + 3*m = 6 - 1. Factor q + 17 - 1 - 4*y**2 - 2.\nAnswer: -4*(y - 2)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*w**5 - 542*w**4 - 12330*w**3 - 100346*w**2 - 148550*w - 60000 = 0 for w.\nAnswer: -25, -16, -1, -3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5\/4*b + 37\/8*b**2 + 4*b**3 + 0 + 5\/8*b**4.\nAnswer: b*(b + 1)*(b + 5)*(5*b + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 4*g - 8 = 0, -5*y + 9 = 3*g - 8. Find the second derivative of -11*p + 14*p + y*p - 5*p**3 + p**3 wrt p.\nAnswer: -24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -3. Let x = d + 4.4. Suppose 3*p = 5*p + 6, -r - 14 = 5*p. What is the second biggest value in r, x, 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(108) + 2 + sqrt(3) + (sqrt(24)*3)\/sqrt(8).\nAnswer: 2 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1368) - 1*sqrt(1368))\/(sqrt(24)\/sqrt(432)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/22)\/(112\/616). Let a = -7 - -11. Let j(l) = -10*l**4 - 4*l**3 + 4. Let f(q) = q**3. Let h(b) = a*f(b) + i*j(b). Differentiate h(m) wrt m.\nAnswer: -40*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -355817 (base 11) to base 3.\nAnswer: -1001122122212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 57902738 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10411?\nAnswer: 29, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 543871885*j**3*o**2 + 564222*j**3 + 2*j**2 + 49*j wrt o?\nAnswer: 1087743770*j**3*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -44182609*i**4\/4 + 751091059*i**3\/2 - 12767870013*i**2\/4 - 1920949*i - 289.\nAnswer: -(i - 17)**2*(6647*i + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 2*d + 3946, 13995 - 4146 = 5*g - 3*d. Let t be g\/15 + 1 + (-4)\/10. What is the highest common factor of 88 and t?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 2*w - 1340, 2*h = 7*w - 8*w + 894. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -73078 at least -73121?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.7 + 0.3. Let s = -1 - -3. Let v = s + 3. What is the second biggest value in -3\/2, g, v?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25*f - 71*f + 2226*f**3 + 770*f wrt f?\nAnswer: 13356*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 a when four letters picked without replacement from ccvcvaccvj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1811607, 1811591, 1811563, 1811523, 1811471?\nAnswer: 1811407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*v + 56*v - 169*v - 27 = -54*v - l, -3 = v + l for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 225131 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-482)\/(-1205))\/((-1)\/(-10)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - 0. Let n = 34817 - 34818. What is the nearest to n in 5, 16, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -84 - -73. Let j be n\/15*1 + (-4)\/(-10). Which is bigger: 1\/7 or j?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 - 10*c - 18. Give d(-11).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.413 and -0.18.\nAnswer: -0.25434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -5*p - 51. Determine r(-22).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**2\/3 - 368*k\/3 + 2816\/3 = 0. What is k?\nAnswer: 8, 176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 + 1. Let g(a) = 3*a**3 - 24*a**2 - 18. Let l = 13 + -8. Let o = -4 + l. Let x(q) = o*g(q) + 18*f(q). Factor x(y).\nAnswer: 3*y**2*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -1, 1, 3, 5?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = -3*h + 4*v, -3*v - 52 = -3*h + 5. Suppose -3*l = h - 24. What is the greatest common divisor of 3 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29.3 * 53.\nAnswer: -1552.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65610600 = -77*o + 110*o. What is o rounded to the nearest ten thousand?\nAnswer: 1990000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1515, -1511, -1505, -1497, -1487, -1475, -1461?\n\"Answer: b**2 + b - 1517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 23527676*k. Let l(z) = -3*z. Calculate l(j(m)).\nAnswer: -70583028*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13584 <= 13583?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 t when four letters picked without replacement from kkktlkkktbbkkblktbk?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 187\/17 - (1 + -5). Let u(c) = c**3 - 16*c**2 + 16*c - 21. Let r be u(g). What is the units digit of -1 - (0 + (r - -4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2312841 and 129.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 7) in base 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23601\/20 + -23227\/60. Let y = 1582 + x. Find the common denominator of y and 97\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-2))\/(((-91)\/28)\/(-13)*-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-328)\/(-246)*((-15)\/(-26))\/(-5)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51, 85, 99, 93?\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6392 - -6373.0007. Let x = 19 + h. What is x rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15\/(-25) - (-208990)\/25?\nAnswer: 13, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 584 + -584. Solve -6 = -n*s + 2*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of -a**6\/120 - 7*a**5\/60 + 5*a**4\/24 - 5*a**3\/6 + 79*a**2 - a. What is i(-8)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 3)*(6*u**2 + 6*u**2 - 16*u**2) - 1 + 3 - 5 + u**2.\nAnswer: 5*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q - 14*q + q to the form n*q + w and give n.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + b + 16 = 0, 0 = -3*y + 2*b + 3*b + 12 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of s**5\/15 - s**4 - 4*s**3 - 2*s**2. Let w(h) = -h - 1. What is -n(l) + 24*w(l)?\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 78734, 315644, 710496, 1263290?\nAnswer: 1974026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 8*v - 117. Let g(a) = -2*a + 26. Let c(d) = 9*g(d) + 2*j(d). Let l(i) = -26*i - 6. Determine c(l(o)).\nAnswer: 52*o + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 736939?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**21\/(f*f*f**(1\/12)\/f) assuming f is positive.\nAnswer: f**(239\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 1710*c + 40*c**2 + 1710*c.\nAnswer: 40*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 225*l - 83 = -1433 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -966*v**2 - 959*v**2 + 1928*v**2 - 12*v + 34 as c*v**2 + u + s*v and give s.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (934*u**2 - 95*u**2 - 58*u**2)*(-2 + 2 + 2*u**2) + (0*u**3 - 3*u**3 + u**3)*(-2 + 2 - 2*u).\nAnswer: 1566*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2140*n**2*p**3 + 349*n**2*p - 2533*n**2 + 75 wrt p?\nAnswer: 6420*n**2*p**2 + 349*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 3 = w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q - 5*q + 2*q. Let m(c) = 6*c. Let n(t) = 4*d(t) + 3*m(t). Let s(y) = -y**2. Calculate n(s(r)).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37 - 12*v**3 + 49 - 12.\nAnswer: -12*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -272*y**3 - 6*y + 6. Let r(c) = 274*c**3 + 4*c - 4. Determine -3*r(b) - 2*z(b).\nAnswer: -278*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 83804531 or 83804533?\nAnswer: 83804531","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - (1 - 3) - -3. Let s(z) = z**3 + z - 4. What are the prime factors of s(k)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20608 and 161.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 + 6*h**3 + 28 + 4*h**3.\nAnswer: 10*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 696 - 690. Let m be -5 - n\/(-4)*6. Solve y + y = m for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/28 - 44*(-6)\/84. What is the fourth smallest value in c, -1\/5, -4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -32 + 34. Let y be (c\/(-9))\/((-4)\/36). Solve 8 = 4*k - q, 5*k - 2*k - 11 = y*q for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -3*s - 414, -3*s = 2*m + 3*m - 426. Suppose 2*d = m + 30. Suppose d = -5*u + 822. Calculate the highest common divisor of u and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 37 - 49*q**2 - 39 - 4*q**2 + 4*q**3 + (0*q - 2*q**2 + 0*q)*(-5*q + 4*q + 2*q).\nAnswer: 2*q**3 - 53*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 568222871 to the nearest integer?\nAnswer: 23837","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*k + 10*k = 190. Let i = 170 + k. Does 22 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*n + 1856 - 467 = -2555 for n.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 u when four letters picked without replacement from {u: 10, t: 2, s: 3}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 28 = 10. Let b(p) = p**3 + 4*p**2 - 5*p - 6. Let j(k) = k**2 + 1. Let d(u) = -b(u) - 4*j(u). Is d(l) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 7*y**2. Let b(d) be the first derivative of 0*d - 1\/3*d**3 + 8 + 0*d**2. Give b(g(n)).\nAnswer: -49*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -118 + 204. Let m = -89 + u. Is m*(-5)\/(-15) - -908 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -240*j**2. Suppose -6*i - 4 = -2*i. Let f be v(i). Round f to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(325)*2.\nAnswer: 1 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84113931?\nAnswer: 3, 11, 19, 134153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-157 - 4)*3)\/(-3). Let i = b - -663. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/9 - 34\/(-9). Suppose -o = -4*g + 3*o + 32, 0 = g + v*o - 23. Let y(j) = j**3 - 2*j**2 + j + 2. What is the remainder when g is divided by y(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18813696 to the power of 1\/2, to the nearest integer?\nAnswer: 4337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7.3 + -7. Let x = -4.3 - 0.7. Let f = x - -2. Which is the nearest to -0.1? (a) l (b) -3\/2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 - 33 - -19) + -1 + -10?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1425 + -1472 - (-17 + 2).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0767319882 to 5 dps.\nAnswer: 0.07673","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.098656253 rounded to three decimal places?\nAnswer: 0.099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (289 + 309 - 649)*(n - n + 2*n).\nAnswer: -102*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 155456 divided by 6.\nAnswer: 77728\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) -554 (c) -2.4 (d) -4 (e) 4 (f) -0.414\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114)*-2)\/sqrt(6) - 1*sqrt(2736)) + (2 + sqrt(2299) + -3)**2.\nAnswer: -36*sqrt(19) + 2300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2540*y - 2145.\nAnswer: 2540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -2, 25, -1 in decreasing order.\nAnswer: 25, -1, -2, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(2*(-2)\/(-4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 6*s - 60. Let y(x) = x + 2. Calculate -u(p) + 4*y(p).\nAnswer: -2*p + 68","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/16 - 156\/16)*(-476)\/595.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 - 31 = -3*f. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 440, 993, 1742, 2783, 4212, 6125, 8618?\nAnswer: 11787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12430230 + -13?\nAnswer: -12430243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4.757 (b) 0.4 (c) 6 (d) 1 (e) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 65, -72, 0 in descending order.\nAnswer: 65, 0, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 37714396?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 - 42*b**2 - 83*b - 93. Let a be l(-40). What is the fourth biggest value in 1\/6, a, -5, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -21 in -194, 2, -17, -0.2, 5, -0.1?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 22*g + 9. Let t(b) be the second derivative of 11*b**3\/2 + 13*b**2\/2 - 223*b + 3. Give -5*t(p) + 7*u(p).\nAnswer: -11*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 4*s. Let t(f) = 37*f**2. Give t(l(z)).\nAnswer: 592*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 4*l**2. Let x(f) = 98312*f**2 - 3*f. Give x(b(q)).\nAnswer: 1572992*q**4 - 12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 33821000 rounded to the nearest 1000000?\nAnswer: 34000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - 2)*1\/(-2). Is q bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 71625998 to the nearest integer?\nAnswer: 8463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2*sqrt(896) + sqrt(896))\/(5*(sqrt(128) + sqrt(8)))*-4.\nAnswer: 48*sqrt(7)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(380)\/(sqrt(10)*1))\/(4*sqrt(32)) + (sqrt(228)\/(sqrt(72)\/sqrt(6)) - (sqrt(19) + (sqrt(19) - (sqrt(38) - sqrt(228)\/sqrt(6))\/sqrt(2)))))**2.\nAnswer: 4531\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/8 and 25\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 739, 1084, 1431, 1780, 2131, 2484, 2839?\n\"Answer: x**2 + 342*x + 396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12468*n - 12247*n = 1105 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(98)*-3)**2 + sqrt(98))*-6.\nAnswer: -5298 - 294*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 206 + -143. Let q = c + 20. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 384 divided by 48\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -484*p**5 + 508156*p**4 - 65869376*p**3 - 139244704*p**2 - 92780736*p - 19914048 = 0. What is p?\nAnswer: -1, -6\/11, 154, 898","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.607085 centuries to millennia.\nAnswer: 0.8607085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-57)\/57)\/((-7)\/((-42)\/(-54))).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1659878823?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -3*i**3 - i. Let y be k(-1). Suppose -3*z + 5*h + 79 = 0, z = -0*z - y*h + 15. Suppose -78 = 54*o - 1212. Is o < z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64498 (base 13) to base 16.\nAnswer: 2c2db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51806*z**2 + 25905*z**2 + 25901*z**2 + 41*z**3.\nAnswer: 41*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -711*d - 88 + 98 - 79 + 68 in the form l*d + g and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 423 - -19. List the prime factors of g.\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3077719 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-40)*10\/(-18)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3823826985 - -528?\nAnswer: 528.3823826985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (100\/(-70))\/((-12)\/(-21))*(-32)\/10.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l**3 - 14*l**2 - 23*l + 5. Calculate the least common multiple of 410 and b(-5).\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -35 - (-2705 + 2607)\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42504 and 647680.\nAnswer: 13601280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.7? (a) 184\/7 (b) 2 (c) -1 (d) 14.1 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -214 + 283. Is h even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 117787950 and 25200.\nAnswer: 942303600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -378*t**2 + 373*t**2 - 4*t**6 - 4*t**6 wrt t.\nAnswer: -960*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 7*w**3 + 5*w. Let l(d) = 3*d**3 + 2*d. Calculate -2*f(b) + 5*l(b).\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.045553, 9, 3\/4, -2 in decreasing order.\nAnswer: 9, 3\/4, -0.045553, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -165 - -166. What is the closest to 0 in j, 0.1, 0.8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.04, 37, 0.1, -8, -5, 1, -2?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -406 + 408. Let r = 9 + -6. Suppose n*i - 30 = -r*i. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 15*v**3 + v**2 + v - 1. Let d be s(1). Suppose -112 = 4*k - 4*y, 3*y + d = 4. List the prime factors of ((-27)\/(-12))\/((-6)\/k).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3320494895?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-3 + (sqrt(128) - (-3 + 0 + sqrt(128)))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43345516 (base 8) to base 2.\nAnswer: 100011011100101101001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/(6\/3))\/((-6)\/4). Suppose -j = 2*v - 2*m, -3*v + 6*v - 25 = -4*m. Solve -v*b = -0*b - 9 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -811*b - 944*b = -17583 + 57948 for b.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8948 is divided by 1783?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 177656 divided by -106.\nAnswer: -1676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g + 21*g - 1466031. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 292 - 828 = -27*f - 1238 for f.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffffgiyffff. What is prob of sequence gf?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001001101110100100 + -1100?\nAnswer: -1001001101110110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -27242*o. Let l(k) = -k. Give h(l(c)).\nAnswer: 27242*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 + u - u - 3 + 2*u. Let a be f(-4). Suppose 5 - 9 = -2*l. Solve 4*i - a*t + 0*t + 5 = 0, 2*t = -i + l for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -p - 4, -5*a + 10 = -5*p for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -73?\nAnswer: -36.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 509910 is divided by 169864?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 2:26 PM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 at most as big as -0.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 267000.\nAnswer: 267000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15.5 + -6. Let f = y - -3.5. Let i = -10 + f. Which is the second biggest value? (a) 0.2 (b) -0.2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 414661808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -8*o - 12. Suppose 0 = -131*w - 157*w - 36*w - 7128. Let z(m) = 1. Let k(y) = y. Let f(s) = -k(s) - z(s). What is w*f(v) + 2*x(v)?\nAnswer: 6*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 + 9*x + 1. What is z(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3448?\nAnswer: 2, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -5*k + 150. Let z be ((-4)\/(-3))\/((-4)\/(-54)). Suppose 0 = -2*j + h - 2*h + z, -5*j - h + 42 = 0. What is the remainder when j is divided by q(29)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 + (-66 - (24 - 11)).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 4*f + 6083. Let d = f + -133891\/22. Find the common denominator of d and -99\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 332*a**3*p**3 + a**3*p**2 + 43*a*p**2 + 1 wrt p.\nAnswer: 1992*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 115032.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19.15 + 15.295. Let d = 0.145 - r. Sort 1\/2, d, -2, 1 in increasing order.\nAnswer: -2, 1\/2, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4036907 to the power of 1\/2, to the nearest integer?\nAnswer: 2009","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 10695 divided by -69\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 186209323 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r + 13*r - 4*f = 4*r + 3*f - 9*f - 126, 0 = 7*f + 441 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -10760.04 and -0.00023298?\nAnswer: 10760.03976702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/42*21\/(-6). Let y(a) be the first derivative of -1\/3*a**3 + 0*a**2 - 3\/5*a**5 + d*a**6 + 0*a + 3\/4*a**4 + 3. What is c in y(c) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3009592 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -5*o + 23. Solve 5*q = -17 - o for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 4*f**2 - 5*f - 2. Let r be h(-3). Suppose v + 3*p = 2, 0*p + 8 = r*v + p. Solve 0 = -v*m + 5*m - 15 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 10 = -2*z. Let o(i) = -33*i**3 - i**2 - i - 1. Let k be o(z). Suppose 0 = b - 7 - k. List the prime factors of b.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 290*j - 3330 = 280*j. Suppose -4*a - 725 = 5*i, 4*i - 1049 = 4*a - j. Round a to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)\/(3*sqrt(12) - sqrt(12)) - (-3*sqrt(13) + 2 - sqrt(13) - sqrt(13)) - (1 + sqrt(156)\/(-1*sqrt(432))))**2.\nAnswer: -34*sqrt(13) + 3838\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 6*c + 3*c - 231, -j + 3*c + 51 = 0. Calculate the lowest common multiple of j and 135.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22 + 2*i - 2*i**4 - 5 + 20 - 2*i**4 - 2*i**3 + 0*i**4 to the form f*i + v*i**4 + w + z*i**2 + u*i**3 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d**5\/3 - 3748*d**4\/3 + 51820*d**3\/3 - 121820*d**2\/3 - 14944*d\/3 + 162448\/3 = 0. Calculate d.\nAnswer: -1, 2, 11, 923","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -30 + -1b501?\nAnswer: -1b531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a gram in milligrams?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -50*z**3 + 35*z**2 + 35. Let k = -24 - -59. Let g(q) be the second derivative of -3*q**5\/20 + q**4\/6 + q**2 - 196*q + 5. Determine k*g(i) - 2*j(i).\nAnswer: -5*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36 - -38. Let y = -28.9 + 29. Let h = -0.06 + y. Which is the closest to f? (a) -3 (b) 0.1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 6:50 AM?\nAnswer: 3:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + -1*sqrt(300))*6 + 3)**2 + (sqrt(192)*2*-1 - (sqrt(363) - (sqrt(363)*-2 - sqrt(363)))*-4)**2.\nAnswer: 3240*sqrt(3) + 88329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 12:42 PM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.23 and -13.\nAnswer: -41.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 567 - 5?\nAnswer: 562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-15)\/14*(-7)\/6. Let x = -347 + 1737\/5. Which is the closest to x? (a) -2\/7 (b) j (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*h - 4*h - 3*h**2 + 2*h + h**2 - 2*h - 3*h**2 + 12*h**2 + 0*h**2 + 0*h**2 - 6*h**2 - h**2 + (2 - 2 - 2*h)*(-h + 2*h - 3*h) - 1 + 1 + h**2.\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 2*m = 0. Let w be 4\/((-48)\/4)*3. Let l be (-1)\/w + 1*-2. Is l >= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-14)*y*y**(-14))\/(y\/(y\/y**(-7\/5))*y\/(y*y\/(y\/y**6))) assuming y is positive.\nAnswer: y**(-98\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 622121 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 68 to the power of 1\/3, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 + u + 121. Let h(o) = o**2 - 2*o. Let m be h(2). Let w be d(m). Calculate the greatest common divisor of 11 and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 4*a + 336 = 350. Is a smaller than -228\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 11:52 PM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1091342.\nAnswer: 2, 7, 137, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4703524 by 4.\nAnswer: -1175881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**2 + 3*v**2 + 0*v**2)*(4 + 4 + 0)*(-v**2 + 2*v**2 + v**2).\nAnswer: 80*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5616961 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 29 = 4*o, -z = 2*o - 5*o - 1. Suppose -3*q + 2*q = -z. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (-3 - 2)) + -4 + (6 - -3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 3121?\nAnswer: -3123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 - 5*n. Let y(s) = -2*s + 381. Give o(y(q)).\nAnswer: -4*q**2 + 1534*q - 147066","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -5)\/((-4)\/(-40)*4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5991*m + 1934*m + 4101*m.\nAnswer: 44*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + z - 2 = -9, -b = 5*z + 41 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*x + 4*x - 3*x - 10*x.\nAnswer: -19*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5365)\/(-2442) + 48\/(-132). Put o, 3\/13, 0.3 in descending order.\nAnswer: o, 0.3, 3\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3115*u**2 - 3222*u**2 - 3223*u**2 + 16003*u**2 - 3228*u**2 - 3224*u**2.\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -7, -112, 4, -5, 0, -1 in descending order.\nAnswer: 4, 0, -1, -3, -5, -7, -112","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of s**4\/4 - s**3\/6 + 98*s**2. Let v(w) = 6*w. What is -2*t(p) + 3*v(p)?\nAnswer: 6*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*y - 7*y**3 - 42*y**3 + 7*y - 300*y**2 - 4*y + 2*y**6 wrt y?\nAnswer: 240*y**3 - 294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*o = 24*o - 12. Suppose 11*z = -o + 46. Solve k = -2*m - m + 1, 3*m + z*k = -5 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190 = 2*w - 4*p - 1794, w = -5*p + 978. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.074 + -64.074. Let l = 63.58 + p. Let u = -5.42 - l. Which is the smallest value? (a) 1 (b) -4 (c) u (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of -2*l**2 - 5 + 10*l - 1\/3*l**3. Determine p(-7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -4*j - 400, -j = 3*v - 3*j + 325. What is v rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 4438?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1408942*f - 704337*f - 704634*f.\nAnswer: -29*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 6474\/4290 - 8\/5\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/4041 + 30977\/8082. What is the common denominator of 2 - (1 + (-555)\/(-110)) and v?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -26600*x**3 - 9099.\nAnswer: -79800*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - 6*h**2 - 6*h - 3. Let b be y(-5). Suppose 7*x = b*x + 155. What are the prime factors of x?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.21, -8315, 0, -0.1 in increasing order.\nAnswer: -8315, -0.1, 0, 0.21","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p - 2*p + 2*p. Let r(g) be the second derivative of -g**4 + 18*g - 3. What is u(r(a))?\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -46570529*w. Let z(m) = m. Calculate z(u(k)).\nAnswer: -46570529*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of 49*z**6\/660 + 553*z**5\/330 + 155*z**4\/132 + z**3\/3 + 36*z**2 - 4*z - 3. Find x, given that o(x) = 0.\nAnswer: -11, -1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -59*p**2 - 4*p + 18. Let x be a(-9). Let s = 7622 + x. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -3 + (17 - -12) + (-99)\/9.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3125566*p**2 - 5*p + 46652609?\nAnswer: -6251132*p - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -7653*m - 45876. What is y(-6)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 - 25. Differentiate 0*p**3 - 29 + 37 - 34*p**o wrt p.\nAnswer: -102*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -113479 divided by 16.\nAnswer: -113479\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4015 + -96343\/24. What is the common denominator of -107\/24 and r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of -r**3\/3 - 3*r**2 + 4*r + 217. Let c = 10 - 15. List the prime factors of z(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 7) to base 8\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 24 = 3*k, -3*k = k - 20. Let f(c) = -c**3 + 7*c**2 - 3*c + 4. What is the remainder when f(h) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kl when two letters picked without replacement from {l: 1, e: 1, o: 4, k: 1, p: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 184125, 368250, 552375?\nAnswer: 736500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 4 = 4*d. Suppose d + 18 = 4*t. Factor -5\/2*r + 5*r**2 + 5\/2*r**4 - 5*r**3 - 1\/2*r**t + 1\/2.\nAnswer: -(r - 1)**5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0019510039 rounded to four dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 198391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30455\/11 + 2769. Let -l*x + 2\/11 + 2\/11*x**2 = 0. Calculate x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 709*v**2 - v. Let b(n) = 8*n**2. Determine h(b(m)).\nAnswer: 45376*m**4 - 8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7500 = 81*a + 44*a. Calculate the highest common divisor of 3495 and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {v: 7, z: 1}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b + 97 + 2*b + 122 - 177.\nAnswer: 4*b + 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*p + 650 = -1830. What is the remainder when p is divided by 22?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*u + 65 = 12*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 9, c: 1, v: 10}. Give prob of picking 1 a and 1 c.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.4, 5, 2, -8?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 110008007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.07 + 0.1. Suppose -2946 = 995*h + 300*h + 2234. What is the closest to 0.1 in m, -0.2, h?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and -252.\nAnswer: -252.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4915992 is divided by 45.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -0.4, 104, 1\/4, 179?\nAnswer: 179","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = 2*q - 7, 18*x - 29 = -7*q + 16*x for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v*v**3*v*v)\/v*(v*v*v**(-2))\/v)\/(v*v\/(v\/v**(-1\/2)))**(21\/4) assuming v is positive.\nAnswer: v**(27\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(60\/66)*20*2\/55?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (1 + -4 + (4 - -1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/425715 and 11\/3535?\nAnswer: 2980005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 67269 divided by -2?\nAnswer: -67269\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 962 = 11*y - 8*y, 20 = -4*f. What is the smallest common multiple of y and 10?\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**4\/5 - 41734*j**3\/5 + 10400160*j**2 - 4211264000*j + 564915200000 = 0. Calculate j.\nAnswer: -22067, 400","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qyjettm. Give prob of sequence tyme.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 640*a - 305 - 313 + 618 + 139*a.\nAnswer: 779*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**2 - 2 - 3 + 5 - 146*n.\nAnswer: 2*n**2 - 146*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 90373 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 322706915 to the power of 1\/3, to the nearest integer?\nAnswer: 686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -206504 by -311.\nAnswer: 664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 34 - 25 = 0. Find the third derivative of -35*z**6 + 11*z - z**3 - 8*z + 0*z**g - 5*z**2 wrt z.\nAnswer: -4200*z**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of 377*b**4\/6 - 10*b**2 - 2*b + 278. Differentiate n(o) with respect to o.\nAnswer: 1508*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 8 - 10*g - 4*g + 15*g + g**3 - g**2. Let l = 0 + 2. Suppose l*b = b. What is q(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21618 - -24560. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 0 = -2*c - 4, 0 = 3*h - 9. Let z(a) = 5*a - 4*a - c*a + 2*a. Let v(q) = -4*q**2. Determine v(z(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 6*x**2 - 26*x - 53. Let o be z(-8). Calculate the highest common factor of o and 7911.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 2*b)*(-5 + 9 + 14)*(5*b - 3*b + 0*b)*(1224*b - 668*b - 633*b)*(-6 + 1 + 3) as n*b**2 + d*b + q + g*b**3 and give g.\nAnswer: 11088","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -551606*r + 2624. Let f be g(4). What is f rounded to the nearest 10000?\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 49 = d - 15, -2*l - 152 = -2*d. Suppose 8*m = 3*m + 4*v + 169, -5*v = 4*m - 168. Let h = 55 - m. What is the highest common factor of h and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (13\/(4212\/(-513)))\/(2\/18). Which is smaller: -13 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 * 4400308\nAnswer: -3080215.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 4*x + 3998 = -26510, -v = -x - 7635. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -57 - 4\/3*z**3 + 1\/2*z**2 + 1\/4*z**4 + 2*z. Determine p(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 3*h)*(-9 + 4 + 20).\nAnswer: 45*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 19133018 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1142, -2275, -3404, -4529, -5650, -6767, -7880?\nAnswer: -8989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3226973 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -387823512*j**2*u**2 + j*u**2 - 38*j*u - 2*u**2 + 12399*u wrt j?\nAnswer: -775647024*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 190390 divided by 241.\nAnswer: 790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b**2 + 2*b**2 + 3645*b**3 - 3649*b**3 + 2*b = 0. Calculate b.\nAnswer: -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 52374 and 252?\nAnswer: 314244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2495, -2413, -2269, -2057, -1771?\n\"Answer: a**3 + 25*a**2 - 2521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -57 - -64. Let o = 25 - u. Let x be 4\/o + (-64)\/(-36). Solve -10 = x*j, 2*j = -5*r + 4*j + 5 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 t when three letters picked without replacement from {y: 6, o: 2, k: 3, r: 6, t: 2}?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -69777\/476174615 - 2\/81467. Are 1 and f non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 5*n**2 - 1. Let x be h(-1). Suppose -3*i + 4*l = -l - 31, 13 = -i - 3*l. Solve -4*y = 3*g - 14, -g - i*y + x*y = 12 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 5*i**2 + 2*i - 2. Let r = 16 + -16. Suppose 0 = -t - 2*w - 1, t - 2*t + 5*w + 20 = r. Is n(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 975.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 - 15 = -2*z, 5*z = -l - 27 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 14\/(-8) - (-3)\/(-12). Let t(h) be the second derivative of h**6\/180 + h**5\/60 - h**4\/12 - 2*h. Let f(p) be the third derivative of t(p). What is f(s)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 256332 and 23445?\nAnswer: 3844980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (7 - (27 + -8)) + 4\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 634 + -576 - (71 - 0).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express z**2 - 3*z**2 - 994 - 9*z**3 + 992 as v*z**3 + l*z**2 + j*z + i and give v.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 6*r**2 + r. Let k be b(-1). Suppose s + 2*q = 30, -36 = -k*s + 4*q + 100. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*i - 17757 = -810*i + 127*i + 21100 for i.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = -44*k + 45*k + 17, -3*k - l = -14 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1926*x - 43*x**5 - 1926*x + 2*x**5 - 4*x**5 + 3*x**5 + (-6*x + 2*x**4 + 6*x)*(-2*x + 1 - 1).\nAnswer: -46*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3606411670199 + 3606411676426.966426997. Let g = k - 6596.96642621. Let s = g - -369. Round s to 7 dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 1:13 PM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2 (b) -3 (c) 11 (d) 65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 209\/57 + (4*-2)\/2. Which is the nearest to o? (a) -2 (b) -1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 813 - 837 = 0 for n.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -252773, -252771, -252769, -252767, -252765, -252763?\nAnswer: -252761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2812*y - 1844 + 2812*y + 2*y**2 in the form d*y + m + b*y**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1032503*s**3 - 153112*s**3 + 6916437*s**3.\nAnswer: 5730822*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - t + 3 = -0*o, -2*o - 4*t = -12. Put -3, o, -1, 1 in increasing order.\nAnswer: -3, -1, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 + -0.3. Suppose s = v + 8, -6*s + 3*v + 4 = -7*s. Sort k, s, 0.\nAnswer: k, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 12781687 and -1.\nAnswer: 12781686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - 1002145696576?\nAnswer: -1002145696576.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/9 - 29*p**2\/9 - 28*p\/9.\nAnswer: -p*(p + 1)*(p + 28)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.030521017 rounded to 5 dps?\nAnswer: 0.03052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -10. Let w be -4 + (21\/3 - 3). Find the third derivative of -z**2 + 0*z - 6*z**4 + w*z + t*z**4 wrt z.\nAnswer: -48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 + 57*o - 698. Let k be l(39). Solve 7*f - 6*f = -j + 6, -k*f - 21 = -5*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23512993769 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 144\/10 - (-2)\/(-5). Let f(m) be the third derivative of 5*m**4\/12 - 2*m**3\/3 + 3*m**2. Let x(b) = 3*b - 1. Give o*x(i) - 4*f(i).\nAnswer: 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -3. Calculate the remainder when (-3)\/(1 + (-28)\/24) is divided by (-2)\/(((-12)\/21)\/r).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/23, 7.7, -1\/26, 0.4, 1?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3411862*s*z**2 + 2*s*z - s - 21*z**3 - z + 3452023 wrt z?\nAnswer: 6823724*s - 126*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -10 (b) -60\/239 (c) 0.0608 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/5, 17, -1.1, 0.1?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from jmbybybbyiwm.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2377*b**2 + 1390?\nAnswer: -4754*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -21*d + 676703. Let x(s) = 10*s. Determine i(x(y)).\nAnswer: -210*y + 676703","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 - -1)\/(1*-1). Suppose 0 = -4*g - i + 95, 9*i + 43 = g + 12*i. Find the second derivative of -11*q - g*q**s + 4*q - 20*q + q wrt q.\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + -1)*3\/6 + 3. Suppose k + 4*k = -l*u + 45, -2*u = 0. Calculate the remainder when 17 is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.481 and -0.03?\nAnswer: 0.04443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*k - 165 = 34*k. Let s = 33 + k. Solve s*h - 4*n = -2*h + 4, -5*h - 14 = -2*n for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 817, 3, -309, 2, -1 in decreasing order.\nAnswer: 817, 3, 2, -1, -309","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 - o + 134. Let n be i(-52). What is the highest common divisor of 10 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 31*l**2 + 11*l + 18. Let s be b(-3). Calculate the remainder when ((-1)\/2)\/((-2)\/s) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k - k**3 + k)*(2*k**2 + 4 - 16*k + 16*k) - 3*k**5 + 3*k**4 - 3*k**4.\nAnswer: -5*k**5 - 4*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 171.9 - 171.8999253. What is g rounded to 5 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + 12. Suppose 0*d + b*o = -2*d - 9, -4*d + o = -17. Let z = d - 1. Solve 3*x - z*n = -0*n - 13, -2*n - 2 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-1)*1 + 2. What is the second derivative of 6*i**2 - i**s + 43*i - 2*i**2 - i**3 wrt i?\nAnswer: -12*i + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 13, 5 in decreasing order.\nAnswer: 13, 5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-11 - -4 - -15)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*g - 13791 + 8384 - 21536. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 499*-9544\nAnswer: -4762456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 497, 1213, 1929, 2645, 3361, 4077?\nAnswer: 4793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u*(u**(1\/7)\/u)\/u*u))**(-12))**(2\/59) assuming u is positive.\nAnswer: u**(24\/413)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1581608*b**2 - 193127.\nAnswer: -3163216*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) 0.5 (b) 0.2 (c) -1\/17 (d) -2\/9 (e) 86\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 427.771908 rounded to the nearest integer?\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 259031181?\nAnswer: 3, 59, 1463453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 217838646?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00009449184 to 6 dps.\nAnswer: 0.000094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -614, -1222, -1820, -2402, -2962, -3494, -3992?\nAnswer: -4450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-536)\/(-38) + (-4)\/38. Suppose 3*w - i = 22. What is the remainder when 68 is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8.8 - -0.2. Which is bigger: n or 1\/2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -76 + 79. Solve j - 9 = 2*z, 4*z = -2*d - 10 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1117 a factor of 8724514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1511509?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of 9*o**7\/35 + 157*o**3\/6 + 14*o**2 + 4. Differentiate g(u) wrt u.\nAnswer: 216*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 0*x + x)*(0*x**3 - 2*x**3 + x**3) + 5150355*x - 854*x**4 - 5150355*x.\nAnswer: -852*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 592*k**4 - k - 631.\nAnswer: 7104*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 15) to base 2.\nAnswer: -10100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 3*z**2 + 5*z + 4. Let n(x) = x**3 - 7*x**2 - 11*x - 9. What is 9*b(l) + 4*n(l)?\nAnswer: 4*l**3 - l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) 1\/5 (c) -10 (d) -0.2 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-5) - 144\/(-45). Let r be c\/(12\/56) + 0. Is 14 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 equal to 224229?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) + sqrt(70)*4 - sqrt(70))*-6)\/(sqrt(250) + sqrt(250) + sqrt(250)*2).\nAnswer: -6*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-4) + 57\/12. Let h be 34 + 6\/(-2) + 1. Suppose -4*v = -4*u, -3*u + 11*v = 16*v - h. Solve -d*n = -3*n + u for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-148)\/(-8) + 1\/(-2). What is the tens digit of j\/(-9) - (0 + -27)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -e7 (base 15) to base 9\nAnswer: -261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -t + 15. Let g(y) be the first derivative of y**4\/4 - 2*y**3\/3 - y**2\/2 + y - 9. Determine g(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 339 divide 144248424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -16, -2809197 in descending order.\nAnswer: 5, -16, -2809197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 386437993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d + 0*d + 0*d)*(125*d + 461 - 461) + (5 + 1 - 3)*(-d - 8*d + 0*d)*(d - 4*d + d).\nAnswer: 304*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, 36, 7, -1 in decreasing order.\nAnswer: 36, 7, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -4*z**3 + 2*z**2 + 2*z - 51. Let q(m) = -6*m**3 + 3*m**2 + 3*m - 76. Give 7*l(u) - 5*q(u).\nAnswer: 2*u**3 - u**2 - u + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -31*q - 88 + 274 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 38371 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 6) to base 12\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + (-2)\/(-4)*(-11 + 11). Solve w = 5*i - 2*i - 6 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 618303 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11637 and 42093.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-3 + sqrt(13) + sqrt(52) + sqrt(13))*4)**2 + -1.\nAnswer: -384*sqrt(13) + 3472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 20\/8*2*6. Suppose 45 = 2*h + 3*r - 0*r, -h - 4*r = -w. Is h a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -l - 4*l. Let m = -11 - -12. Let r = l - m. Solve 4*v - 8 = 0, 4*v = -r*w + 3 + 10 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16456 divided by -2\nAnswer: 8228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 62*n**2 + n + 1. Let d be r(-1). Suppose 0 = 2*y + 2*f - 148, -5*f = -4*y + 403 - d. List the prime factors of y.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2778 = h - 243184, 5*h - 1201834 = -3*o. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28379 - 28340. Suppose -5*y + 6*x = x - 260, 3*y - 4*x = 156. Calculate the highest common divisor of y and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 7 = -u - 2*i, -94 = -5*u - 4*i. Calculate the greatest common divisor of 5236 and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (35 + -23)*(-9)\/(-62)*(-57)\/513\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*m**2 - 93*m**2 + 25*m**2 + 71*m**2.\nAnswer: 58*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -264*w + 6129 + 6669 - 9630 = 0 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/2))**(-1\/21))**(-2)*(a\/(a**(-7)*a)*a\/a**(-6))\/(a**(-6)*(a**(-1\/8)\/a*a)\/a*a) assuming a is positive.\nAnswer: a**(3373\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 + 1)*(2*h**2 + h**2 - 4*h**2) + 131*h**2 - 268*h - 264*h**2 + 191*h**2 + 118*h**2 to the form s*h + b + a*h**2 and give s.\nAnswer: -268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 q when four letters picked without replacement from {q: 4, u: 2, a: 4, r: 2}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 238 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand s - 3*s - s - 12*s + 0*s + 2*s + 0 + 0 - 2*s + (5 - 1 - 3)*(-5*s + 6*s - 2*s).\nAnswer: -16*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2199, 4357, 6517, 8679?\n\"Answer: r**2 + 2155*r + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + u - 5)*(-5*u**4 + 4*u**4 - 3*u**4) + 2*u**3 - 2*u**5 + 7*u**5 - 3*u**5.\nAnswer: -2*u**5 + 2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i\/(i\/(i*i\/(i**(-2\/3)\/i)*i*i)))*i)\/i)\/i**(1\/19))**32\/((i**(1\/2)\/i)**(-40)\/(i\/i**0)**(-21)) assuming i is positive.\nAnswer: i**(-10945\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42 and 1520?\nAnswer: 31920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c**(-5\/9)\/c))\/c**(-10\/7))**(-4) assuming c is positive.\nAnswer: c**(-1004\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x + 3*x - 3*x. Let y(f) be the third derivative of f**5\/20 + 7*f**2. Give w(y(a)).\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**2 - 11*p**2 - 3*p**2.\nAnswer: -11*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 + 8*k + 11. Determine d(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 0*c = 0. Suppose 18 = -u + 4*b, u + b + 2 - 9 = c. Solve 2*q + 2 = -u for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101101000110 - 1000001001001?\nAnswer: -100101110001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 196545?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 + 49 - 4 + 3*o to l*o + j and give j.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 5*u + 2*n = -395, -5*n - 1950 = -5*u. Calculate the lowest common multiple of u and 420.\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 - 34*c - 336. Let j be d(-9). Solve -j = -5*k - a - 30, 2 = 2*a for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37, -39, -41, -43, -45?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2238*h - 4. Let i(g) = 5*g**2 - 7*g. Calculate i(x(j)).\nAnswer: 25043220*j**2 + 105186*j + 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of 131*c**7\/210 - 5*c**4\/12 - c**3\/3 - 3*c**2 + c. What is the second derivative of x(z) wrt z?\nAnswer: 1572*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-9) + 2529\/81. Suppose 49 = 3*i + f. Let c(k) = 2*k**2 - 8*k + 1. What is the remainder when 97 is divided by c(i)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 + 1640*z + 19827. What is j(-12)?\nAnswer: 291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 PM and 1:09 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 839*q + 822*q - 1662*q. Let y(l) = -484*l. What is g(y(d))?\nAnswer: 484*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3460455 to the nearest integer?\nAnswer: 1860","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -5*d + 496200, -1224*d + 1219*d - 2*k + 496179 = 0. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17757 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.31712 centuries in months?\nAnswer: 13580.544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92 + 0*t**2 - 10 - 90 + 190 - 135*t**2.\nAnswer: -135*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, 26 in ascending order.\nAnswer: -3, 4, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 y when four letters picked without replacement from yyvvvvvvyvvyvvvy?\nAnswer: 55\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of 3*z**4\/14 + 16*z**3\/7 + 15*z**2\/7 - 300*z\/7 - 33. Factor v(r).\nAnswer: 6*(r - 2)*(r + 5)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 213*i + 150. List the prime factors of o(13).\nAnswer: 3, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + l = 9, z + 4*l = 6*z - 27 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h - 3. Let p be j(-2). Let l = p - -5. Which is the biggest value? (a) 2\/7 (b) 2\/13 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1799671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 40 = -0*z. Let g = z - 58\/3. Let r = -7 + 8. What is the closest to g in 5, 4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r + 12. Let c(u) = -u - 21. Let j(y) = 4*c(y) + 7*o(y). Calculate j(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of i**4\/8 - 5*i**2. Let f(v) = 4*v + 18 - 18. Calculate f(r(d)).\nAnswer: 12*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -66*x**2 - 147 + 417 - 136 - 135 to the form j*x + z*x**2 + c and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -46*s - 694. What is the smallest common multiple of d(-21) and 408?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of a**7\/6 + a**4\/4 + 6*a. What is the third derivative of h(g) wrt g?\nAnswer: 420*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10556 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r + 1. Let g be q(-11). Solve 5*t = -4*h + 20, 2*h - 2*t = t - g for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 237 = 5*j + 17. Suppose k - 43 + j = 0. What is the third smallest value in k, 9, 5?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3\/4 + 43*c**2\/2 - 336*c - 5760.\nAnswer: -(c - 48)**2*(c + 10)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12016 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 5*x = 2*x - 11, -3*t - 2*x = -4. Let c(h) = -h**2 - 5*h - 2. Suppose 0*m = -3*m - 12. Let w be c(m). Solve w*p = 4*p + t for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -249*h**2 + 250*h**2 + 362 - 369 + 2*h. Let o(d) = 3*d**2 + 5*d - 15. Calculate -4*o(v) + 9*p(v).\nAnswer: -3*v**2 - 2*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.2 (b) 0.09 (c) -22003\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*m - 2880 = 20*m. Let q be m\/(-6)*1\/5. Factor -12\/5*k + 3\/5 - q*k**3 + 18\/5*k**2 + 3\/5*k**4.\nAnswer: 3*(k - 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 63.4622 and -0.3?\nAnswer: -19.03866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**2 + 10*v**2 - 11 + 0*v**2 + 11 - 31*v**3.\nAnswer: -31*v**3 + 12*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 1)*(3 - 1 - 4)*(-5 - 1 + 4)*(-o + o - o**2).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -10*s**3 + 11*s**2 - 62*s - 401. What is the tens digit of l(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-7 - -10) + 3 + 7.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 6, x: 7}. What is prob of picking 2 x?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 55*j**2 - 5*j + 9. Is m(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1070 = 3*r - 5*m, 0 = 4*r - r + m - 1100. Let u = 70 + r. What are the prime factors of u?\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/42)\/(2\/(-6))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 - 8*n + 13. Let k be i(7). Suppose -k*o = -469 - 12011. Let w = o + -1103. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*k**2 + 8*k**3 + 8*k**2 + (5*k**2 + 2*k**2 - 4*k**2)*(-k + 0*k + 0*k).\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 9\/10 of a kilometer?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o + 8. Let b be w(-4). Solve -b = -2*j, 16 = 5*h - 5*j + 51 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, x: 3, g: 1, k: 3, t: 2, a: 9}. Give prob of picking 1 a and 1 h.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/3*1053\/(-234).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 76*z - 152*z + 73*z. Let q(k) = 8*k + 2. Let c(p) = 3*m(p) + q(p). Let s(o) = 4*o - o - 5*o. Give s(c(i)).\nAnswer: 2*i - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(2\/11)*q)**(-44)\/(q**(-2\/7)\/q**(-2\/19)) assuming q is positive.\nAnswer: q**(-10616\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 + 18. Let h be s\/4 - (-91)\/(-308). Which is the second biggest value? (a) -2\/7 (b) 1\/7 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 121228203?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -2*k**3\/11 - 136*k**2\/11 - 178*k - 1824\/11 = 0.\nAnswer: -48, -19, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)*-1*-4)\/((-1*sqrt(120))\/sqrt(12)).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*i**2 + 56*i**2 - 837*i + 837*i.\nAnswer: 102*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-338)\/(-3) + 16\/(-24). Suppose 4*q + 3*n - 26 = 26, 0 = -2*q + n + 36. Calculate the greatest common divisor of q and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 y when two letters picked without replacement from iyiciyyy?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j**3 + 4*j**2 + 6*j - 6. Let a(c) = -2*c**3 - 3*c**2 - 5*c + 5. Calculate 6*a(b) + 5*w(b).\nAnswer: -2*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l = 22 - 64. Which is the fourth biggest value? (a) -6\/11 (b) l (c) 5 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 7 = -5*q, 15*q - 3 = 18*q + o for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(((o*o**(8\/9)*o)\/o)\/o*o))\/(((o*o\/(o**(2\/13)*o)*o)\/o)\/o)*o**(-2\/19)*o\/(o\/(o*o**(1\/16))) assuming o is positive.\nAnswer: o**(7903\/35568)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21594 and 25394544?\nAnswer: 25394544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.08 + 2.92. Let v = 8 - b. Let n = 1 + 0. What is the smallest value in v, -1\/10, n?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -3*t**2. Let y = -5 + 10. Let w = y + 1. Let d(x) = -6*x**2 + w*x**2 - x**2. Determine d(n(u)).\nAnswer: -9*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.15 - 1.25. Let g = z - -6.1. Let h = -101\/5 - -20. Which is the second biggest value? (a) -2 (b) g (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34327115 divided by -335.\nAnswer: -102469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 146265 - -2?\nAnswer: 146300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 790562 is divided by 112841?\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-11)\/(-22))\/((-1)\/(-254)). Let l(o) = -74*o**3 - o + 1. Let n be l(1). Let r = n + h. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 + 9*s - 12. Let a be w(-10). Let d be ((-4)\/22)\/(20\/(-220)). Sort d, 1, a in increasing order.\nAnswer: a, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/141*(-92)\/184.\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*s*t**4 + 22*s*t**2 + s*t + 43*s - 32*t wrt t?\nAnswer: -36*s*t**2 + 44*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -6*m**2. Let z be (0 - -6)*(-22)\/4. Let p be 6\/z - 35\/(-11). Let j(n) = -2*n**2. What is p*f(s) - 10*j(s)?\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 78 = 2*s, f = 3*f - 7*s - 35. Calculate the highest common divisor of 1358 and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 74, 69, -50, -289, -654?\n\"Answer: -b**3 - 51*b**2 + 155*b - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2257.318 * 0.07.\nAnswer: -158.01226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 o when two letters picked without replacement from {o: 3, w: 1, q: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-2) - (2\/4 + -1). Sort 0, -3\/2, x in descending order.\nAnswer: x, 0, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 39 = 7*h - 2*h, 4*a - h - 21 = 0. Suppose -1039 + 43 = -a*o. Is o a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**4\/17 - 936*w**3\/17 - 73446*w**2\/17 - 954920*w\/17 + 2211144\/17 = 0. Calculate w.\nAnswer: -373, -78, -19, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 400136*g**3 + 963938*g**2 wrt g.\nAnswer: 2400816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 207, 205, 193, 165, 115?\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (7725\/(-3090))\/((-50)\/3)?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -87*y**2 + 45*y**2 + 44*y**2 + 3*y**3 + (0 - y + 0)*(-7*y**2 + y**2 + 3*y**2) - y**3 + y**3 - 2*y**3 in the form o*y**2 + a*y + l*y**3 + g and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-48)\/(-12) - 39\/12) + -1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k + 3. Let m be f(5). Calculate the highest common factor of 216 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2664181\/64 + 41629. Find the common denominator of -67\/88 and f.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-9)\/2)\/((-10)\/(-20)). Let j = a - -13. Is j even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -528907 * -0.2\nAnswer: 105781.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-15)\/6)\/((-2)\/4). Suppose 4*f = -2*w + 16, 2 = -w + 2*f - 10. Let c = w - -37. Calculate the greatest common divisor of j and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 5*g - 3 + 1 = 0, 4 = 2*q + g. Suppose -n = o - 9258, -8*o + n = -q*o - 46284. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -68 - -104. Suppose p - a = -3*p. Does 16 divide 146\/p - 6\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1090 + -209.\nAnswer: -1299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 207 - 21 = 3*a. Suppose 2*m - 48 = m - 5*w, -3*m + 144 = -5*w. Suppose -13*y + 16*y = m. What is the remainder when a is divided by y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3345 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7212, 17, 0, -13, 18 in decreasing order.\nAnswer: 18, 17, 0, -13, -7212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u\/u**(-10)*u*u**9)**(4\/5) assuming u is positive.\nAnswer: u**(92\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -1. Find the first derivative of -2*b**o + 0 + b**2 + 1 wrt b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -13115 and -13114 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2507199 + 75.\nAnswer: 75.2507199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22005?\nAnswer: 3, 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22.1522 + -1.1522. Let n = 1 - -4. Put -0.2, i, n in decreasing order.\nAnswer: i, n, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 220 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 251186*u**3*x**5 - 4*u**3*x - 10199*u**2*x + x wrt x.\nAnswer: 5023720*u**3*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 46*d - 875 - 91. Solve -l - 18 = 5*r, 4*r - 11 = -3*l - d for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 9:10 AM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 203406 or 203401?\nAnswer: 203406","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 8 = -10*r. Let k(u) = -8*u**3 + 3*u**2 - 2*u. Let d be k(r). Let f be ((-6)\/d)\/(-6) + (-14701)\/(-7). Round f to the nearest 100.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1950917.\nAnswer: 29, 67273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 2 = 2*f. Let t be f + 1 - (0 + 1). Let s be ((-4)\/t)\/(4\/(-132)). What is the greatest common factor of s and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of b**5\/4 - 25*b**4\/12 + 5*b**3\/2 + 45*b**2\/2 - 21*b. Factor x(q).\nAnswer: 5*(q - 3)**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-114)\/24 - (-21)\/28)*(-181 + 182)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2767521, -5535035, -8302539, -11070033, -13837517, -16604991, -19372455?\n\"Answer: 5*l**2 - 2767529*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2214 and 1080.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - r + 1)*(-3 - 1 + 3) - 1 + 3 - 2922*r + 4743*r.\nAnswer: 1822*r + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 882 - 482. What is the hundreds digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*n**5 - 4734*n**4 - 9*n**2 - 3540675*n - 1.\nAnswer: -280*n**3 - 56808*n**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25 + -1. What is the lowest common multiple of 12 and t\/(-6) + 2\/(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/6)\/((-5)\/210).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -459 (base 14) in base 6?\nAnswer: -3555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -68\/38943 and -8\/90333?\nAnswer: 390870891","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56340 is divided by 128.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, x: 2, i: 7}. Give prob of sequence xiii.\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -6 - -7 - (0 + -1 - 2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -62669715 rounded to the nearest ten thousand?\nAnswer: -62670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27276*q - 13970*q - 13296*q.\nAnswer: 10*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r. Let n be 14\/1 + (-139 - -125). Let v(h) be the third derivative of 0*h + n*h**3 + 13\/60*h**5 + 0*h**4 + 0 - 11*h**2. Calculate f(v(t)).\nAnswer: 26*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 0*y + 2*y + 5 = 0, n + y - 11 = 0. Let v = 15 - n. Let w(k) = k**2 - 6*k - 3. Give w(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -20706 + 4?\nAnswer: -20702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104869.\nAnswer: 104869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 12939, 26048, 39317, 52746, 66335?\n\"Answer: 80*o**2 + 12869*o - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 5. Suppose 3*i - 18 = 3*d, -d - n*i = -4*d - 22. Let y be d - 4\/((-12)\/9). Solve 0 = k - y - 2 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16265\/392 + -3\/392. Suppose 5*n = -c - 121 - 90, 3*c = -18. Which is smaller: l or n?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 103 - 1547\/15. Which is the nearest to -1\/3? (a) j (b) 0.3 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32 - -23. Let t be (-2)\/(-9) - (-20)\/q. Let k = t - -4. Let i(s) = -2*s**3 + 4*s**2 - 2*s - 2. Give i(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = p + 15, -p + 3*u + u = -21. Let c = 35 + -31. Calculate the smallest common multiple of p and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -c - 3, -5*c = -4*r + 7. Suppose -3*d + r + 30 = 0. Solve 0 = 5*a + u - 8, a = -3*u + 7*u - d for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1260000 rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4500*n + 18887 + 4495*n - 6298 - 8990*n - 6297 - 6300.\nAnswer: 5*n - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8618483.\nAnswer: 8618483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30 - 29)*(-1 + -10).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -597 = -232*v + 358 + 437 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 0.05\nAnswer: 0.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 490378 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40 - -47. Suppose 2*m - g*m + 25 = 0. Suppose 0*d = 5*p - d - 11, m*p + 3*d - 7 = 0. Which is smaller: p or 14\/9?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23346 + -23264.27. Which is greater: 2\/7 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0428913 + 3\nAnswer: 2.9571087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1209*l = -1239*l + 660 for l.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/60426 and 13\/24618.\nAnswer: 664686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -643 + 647. What is the second smallest value in -3\/5, p, -1.3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3\/4, 1.4, -39\/5 in decreasing order.\nAnswer: 5, 1.4, 3\/4, -39\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8698239?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 - 1)*(-4)\/8. List the prime factors of (-212)\/(-16) - m\/8.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = n - 2*p, 6*p + 20 = 2*p. Suppose 20 - 45 = -n*h. Suppose -2*x + 4*l - 6 = 0, h*x - 2 = -2*l - 5. Sort -10, x, 0 in increasing order.\nAnswer: -10, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/36 - 20\/(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do -41 and -34 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 PM and 5:44 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1365\/2457*(-36)\/(-130) + 58\/(-208).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppsppppppps. What is prob of picking 2 s?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 - (0 + 2)\/((-4)\/46). What is the greatest common divisor of 620 and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, s: 4, x: 2, r: 5, n: 3, h: 3}. What is prob of picking 1 x and 3 h?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxrgrvxgrsxv. Give prob of picking 1 v and 2 x.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 divided by 8.\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 750547 is divided by 32632?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -37*r**2 + 166*r + 101. Calculate c(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**1*f)**(-48))**(-2\/3)\/(f*f**(-2)*f*f**(-3\/7)*f*f*f*f**(-5)\/(f\/f**(-3\/5))) assuming f is positive.\nAnswer: f**(2381\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 5. Suppose k*c - 29 = 5*b - 2, -4*b - 9 = -c. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v - 7. Let f be j(-7). Suppose -2*m + 4*c = -6, 2*c - 1 - 3 = f. What is the remainder when (-1)\/(((-7)\/(-25))\/(-7)) is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73989146713 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.205083 rounded to two decimal places?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28 + 72. Suppose -2*r - 308 = -a. Is 14 a factor of ((-3)\/(-2))\/((-9)\/r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1213 (base 8) to base 9\nAnswer: 803","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -3 - ((-7225)\/30 - 1\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170344 = -5075*x - 34778 - 89228 for x.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1473362789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 1 + 9. Let j be 70 - 0*(-3)\/(-15). Calculate the highest common factor of j and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45 and 20505?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 3:22 PM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000019544876 rounded to 6 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, -12\/19, 6, 1.7 in ascending order.\nAnswer: -12\/19, -3\/7, 1.7, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) 0 (c) -3 (d) 2 (e) 3\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 22121228*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11649819 is divided by 1820?\nAnswer: 1819","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1238341639*x - 11*x**2 + 0 - 1238341639*x + 0.\nAnswer: -11*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 393257?\nAnswer: 393257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h**3 - 22*h**2 - 83*h - 419. Calculate y(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 2 = d, 2*o = 2*d + 17 - 1 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 12*r. Suppose -5*z - 20 = r, -3*m + 2*m = 5*z + 16. Suppose 0 = 2*y - 2*i - 2, -3*y - 2*y + m*i + 4 = 0. Solve y = -3*x - 3 - 3 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 14342, 28681, 43020?\n\"Answer: 14339*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3056?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 32 = -2*b, 5*b = -2*w - 2*w - 29. Let x(d) = -11*d + 17. Let k(t) = -5*t + 8. What is w*x(h) + 13*k(h)?\nAnswer: h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(99) + sqrt(99)*3)*2)\/(sqrt(36)\/sqrt(4)*4*-2).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a gram in milligrams?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1621907054 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d - 4*d**2 + 2*d + 3 - d**2 - 3 + (d + 3*d - 3*d)*(0*d - 2*d + 4*d) + 2*d**2 - d**2 + d**2 to c*d + t + q*d**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -126*o + 222 + 186 + 96 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + 4*s + 5*s)*((2*s**2 + s**2 + 0*s**2)*(-71*s + 41*s**2 + 71*s) + 2*s**4 + 3*s**3 - 3*s**3 - 3 + s**4 + 3).\nAnswer: 1134*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u - 2*u + u**2 + (4*u**2 - 5*u**2 + 2*u**2)*(1 - 4 + 0) - u - u**2 + u.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u**2 + 2*u + 938. Let j be x(0). Let t = 1457 - j. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -177.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 5*d + 8. Let t = 142 + -144.96. Let q = -0.04 + t. Which is the third biggest value? (a) d (b) -0.5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 3334*y**2 + 3*y - 6. Suppose 4*x = -16 - 8. Let d be a(x). What is d rounded to the nearest ten thousand?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 27\/6 + 2\/4. Suppose a = y + 1, 4*a + f*y - y = 36. Solve 0 = 2*h - a*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -695 times 3?\nAnswer: -2085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s**2. Let c be i(1). Suppose 3*b - 5*b = -152. Suppose c*q = 6*q - b. Calculate the remainder when q is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.45 and 0.31.\nAnswer: 0.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a week in minutes?\nAnswer: 756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -3624*h - 13663. Let p be n(-4). Solve 20*d - 853 + p = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 5. Suppose -14*q = -13*q + 1. Which is the closest to 0? (a) q (b) 1\/5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 7, a: 9, d: 1, k: 2}. What is prob of picking 2 k and 1 d?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (51\/(-816))\/(30\/40).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 - 6*q**2 - 470*q - 2807. Let k be w(-6). Suppose 72 = -3*a - 0*a. Let m = -11 - a. Calculate the highest common factor of m and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 6*m**2 + 2*m - 15*m**2 + 2*m + 10*m**2. Let j be y(-4). Solve j = 4*s + 3*t + 21, 2*s + s + t + 12 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*r + 192 = -15*r. Calculate the highest common divisor of 320 and r.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33632916?\nAnswer: 2, 3, 2802743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 279909 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 203080?\nAnswer: 2, 5, 5077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 38 = -4*n, 7 + 11 = 2*n - 2*d. Solve 0 = -2*a - x - n, 0 = 3*a + 5*x + 29 - 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r - 1. Let x(o) = -o**2 - 2*o + 4. Give -4*p(i) - x(i).\nAnswer: i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*y + 260 = -60*y for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.15 - 0.1?\nAnswer: 31.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 87 + -48. Suppose 5*l + k = -141. Let s = l + 96. Calculate the greatest common factor of 12 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 7*i**2 - 3*i - 6. Let q be f(6). Let d = -5 + q. Is d > 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - (-7 - (-7 + (-15 - -18)))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*g + 4*g**3 - 41*g + 18*g - 5)*(9*g - 13*g - 11*g).\nAnswer: -60*g**4 + 45*g**2 + 75*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 1\/3930 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 3*v**2 + 4*v - 6. Let t(i) be the first derivative of -4*i**3\/3 - 5*i**2\/2 + 7*i - 6. Let g be (-133)\/(-14) + (-54)\/12. Determine g*j(n) + 4*t(n).\nAnswer: -n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 126 and 168.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) 0.1 (c) 3\/5 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9 or 142938?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152)*-2*2)\/(sqrt(56)\/sqrt(7)*4))**2*-5.\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 38557 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/((-1)\/2*8\/176). Suppose -v = -2*x + 3*n + 7, 4*x + 2*n - 142 = 0. List the prime factors of x.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 2*n = -104, -37*q = -42*q - 4*n + 117. Solve -3*i + 31 = 4*z, -5*i + q = 2*z - 8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 165*m**5 + 3140*m**4 + 5790*m**3 + 1540*m**2 - 1275*m = 0. Calculate m.\nAnswer: -17, -15\/11, -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j - 198 = -j. Let v = 47 + j. Solve -5*m - 4*p = p + 45, 2*m = -p - v for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11391408 a multiple of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 36\/(-3)*(-1 + 5). Suppose 1824 = 75*m - 113*m. Let k = m - j. Solve k = 5*i - 2*l - 18 - 3, 4*i = 3*l + 14 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-183)\/1065 - 1\/(-5). Which is bigger: r or -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*g**4 - 10*g**3 + 220*g**2 + 36140 wrt g?\nAnswer: -20*g**3 - 30*g**2 + 440*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -0*v - 15. Suppose 0 = 2*x - v*t - 36, 0 = 2*x - 5*x + 5*t + 49. Suppose 0 = 3*f - 29 - x. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 760 + -660?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 534760?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(171) - sqrt(19) - sqrt(19))*2 - (-3 + 2 + sqrt(1539))**2)*3*-5.\nAnswer: -330*sqrt(19) + 23100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34770 and 3050?\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(200)\/sqrt(4)*2 + (sqrt(50) - sqrt(800)*2))\/(sqrt(120)\/(sqrt(192)*-2 - sqrt(192) - sqrt(192))) + 2.\nAnswer: -160*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(468) - (sqrt(468) + -1)) + -2 + -2*sqrt(468)*-6 + -1*(sqrt(468) + 0 + sqrt(468)*-2 + sqrt(468)) + -5)**2.\nAnswer: -144*sqrt(13) + 67393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 v when two letters picked without replacement from tibbtkv.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/(-6) - 6\/(-9). Let v be (-2)\/7 + (-48)\/(-21). Suppose v = -3*z - 4. Sort z, p, -4 in descending order.\nAnswer: p, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, g: 7, c: 4, r: 2, h: 1, t: 1}. Give prob of sequence rt.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -56, -127, -216, -317?\nAnswer: -424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 210120132220120 + 10?\nAnswer: 210120132220130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 9014 divide 4731538740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 301 divide 1065528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of 1\/3*q**4 + 0*q + 7*q**2 + 1\/6*q**5 + 1\/2*q**3 + 1\/120*q**6 + 0. Give w(-9).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -205*d + 228*d + 92. Let m be (-75)\/60 - d\/(24\/9). Suppose 0*k + 0*k**2 - 3\/4*k**5 + 1\/2*k**3 + 0 + m*k**4 = 0. What is k?\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.5927915g?\nAnswer: 592791.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 18\/19 and -53\/9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 e when two letters picked without replacement from {k: 4, c: 1, b: 3, e: 6, q: 2, m: 3}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -17395*c**4 - 1263885*c**3 - 2058740*c**2 - 787380*c + 51120 = 0?\nAnswer: -71, -6\/7, 4\/71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4042413 - 10?\nAnswer: 4042403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -75062 (base 8) in base 9?\nAnswer: -46817","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44479 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 154\/(-4)*(-8 - -4). Suppose -67 = -5*i + 43. Let t(s) = s. Let m be t(i). Calculate the highest common factor of m and j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -909 (b) 214.826 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (6*(2*sqrt(99)*-3 + sqrt(99))*1)\/((2*sqrt(3888))\/(5*sqrt(6)\/sqrt(2))).\nAnswer: -25*sqrt(11)\/4 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 13917*u + 6961*u + 6958*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 9*v = -516. Is 43\/v - (-818)\/4 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6604383*b**2*g**2 - 4*b**2*g + 4*b**2 - 15*b*g + g - 165 wrt g?\nAnswer: -13208766*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 0*l + 12 = 2*c, -5*l = -5*c + 5. Let j = l + 8. Suppose 0 = -4*x + j + 9. Solve 2*r - 5*s = -20, s + 0*s - 4 = x*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4997, -9975, -14951, -19925, -24897, -29867?\nAnswer: -34835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.5, 2, -2, -280, 30, -26?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 685130 + -685131. Let v(y) = 7*y**2 + 4*y + 5. Let d(l) = 29*l**2 + 17*l + 21. Let h(n) = -2*d(n) + 9*v(n). Calculate h(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1505*x**2 + 2 - 1503*x**2 - 4 + 40*x + 2.\nAnswer: 2*x**2 + 40*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/672 and -95\/9408.\nAnswer: 9408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60019836 - 60019836 - 3804*v.\nAnswer: -3804*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of 5981*g**5\/20 + 52*g**4 - 2258*g. Find the third derivative of l(x) wrt x.\nAnswer: 35886","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -558.58 - -566. What is m rounded to zero decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -5 (c) -0.2 (d) -1\/76429 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12 - -20023?\nAnswer: 20011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 171 - -130. Let l = m + -292. Which is the nearest to 0.1? (a) 0.5 (b) l (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v = 697 + 836. Suppose 6*p - p + 3*z = v, -3*p + 4*z + 114 = 0. What is the units digit of (-6)\/(-1)*280\/p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -267 + -1871?\nAnswer: -1b08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 0.072\nAnswer: -0.288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = 3*n + 40*g - 427, -31*n + 18*n + 56 = -16*n + 5*g for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -67688070 in 3\/7, 0, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-5*4*(0 + (sqrt(272) - (sqrt(272) + 0 + sqrt(272))*-2) - (1 + sqrt(272)*2 + sqrt(272) + sqrt(272) - sqrt(272))*-4))**2.\nAnswer: 217600*sqrt(17) + 31449600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11204836?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 b when two letters picked without replacement from eeebs?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 180 - 91. Suppose -2*u + 3*u - p = -4*d, -u + 111 = 5*d. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.297 + 0.645. Let z = n - -0.058. Let t = -3 + 7. Which is the nearest to z? (a) t (b) -3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 4 + -5*((-2*sqrt(475)*1)**2 + 5)*-6.\nAnswer: 57150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 8*j**2 + 25*j + 4. Let u be m(-3). Let l = 878\/112095 + -7\/705. Which is greater: u or l?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of -v**4\/12 - 3*v**3\/2 - 4*v**2. Determine n(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 4:39 PM?\nAnswer: 8:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x**3 - 17*x**2 - 6*x**2 + 276*x**2 + 179*x**2 to v*x**2 + p*x + c + q*x**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 33\/35, 2\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/3))**37)**(-35)*(r*r**2\/r*r**(-1))**(-7\/3) assuming r is positive.\nAnswer: r**(1288\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -32*k**5\/5 - 2*k - 33. What is the derivative of s(x) wrt x?\nAnswer: -128*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 254, 5, -1\/6 in ascending order.\nAnswer: -3, -1\/6, 5, 254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-3) + 192\/(-88). Let u(p) = p. Let a be u(2). What is the third smallest value in 5, x, a?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-208*h**2 + 343*h**2 - 215*h**2)*((-2*h**2 + 2*h**2 - h**2)*(2 - 3*h - 2) - h**3 - 1 + 1 + (-h - 1 + 1)*(-6*h**2 + h**2 + 3*h**2)).\nAnswer: -320*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/720034 and -27\/13783508.\nAnswer: 96484556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-567)\/(-756)*(-64)\/60.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 3:59 PM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0.31 (b) -2\/5 (c) 5\/3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2189586 and 1070840?\nAnswer: 2818","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*v + 4*m + 4 = 0, v + 2*m + 210 = 219 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-18)\/(-12))\/(2\/1700). Let n = s - 902. Suppose -6*l - n = -7*l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiu when three letters picked without replacement from {i: 2, u: 2, c: 4}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n - 7. Let f be m(6). Suppose -32 = -4*c + 2*c + 2*g, -f*c + 4*g + 75 = 0. Calculate the remainder when 42 is divided by c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 - 6*f - 1. Let p be a(-5). Suppose 6 = -4*v - q, -5*v + p*q = -4*v - 7. Let x(j) = 6*j**2 + 6 - 11*j**2 - 13*j**2 - 5. Calculate x(v).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 11469, 22629, 33789, 44949, 56109, 67269?\n\"Answer: 11160*w + 309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, i: 12}. What is prob of picking 2 i?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of -j**5\/20 - 7*j**4\/6 - j**3\/3 + 17*j**2\/2 + j - 10. Suppose 4*c + 3*a + 48 = -a, -2*c - 3*a = 22. Does 9 divide y(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -30*h**3 - 136145*h**2 + 113475*h = 0.\nAnswer: -4539, 0, 5\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/8 + 285\/20. Let v = z + 41. Suppose p - v = -10. Calculate the highest common divisor of p and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 PM and 8:42 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26 and 169.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 388218 and 4612088?\nAnswer: 1231427496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*t**4*x + 1769993*t**2*x + 3*t*x + 215*t - 2*x - 89 wrt t?\nAnswer: -60*t**2*x + 3539986*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 809 (b) 1\/6 (c) 0.1 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 11.14. Let f = d - 0.36. What is the second biggest value in f, -0.3, -2\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of 113*c**8\/168 - 41*c**5\/12 - 517*c**2. What is the third derivative of z(f) wrt f?\nAnswer: 13560*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130706 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from jjsssjsssj.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -244 - -248. Let w be 2\/(-3) + 2 + -1. Which is the biggest value? (a) g (b) w (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of p**6\/60 - 2*p**5\/15 - 11*p**4\/12 - 2*p**3 + 3*p**2 + 8. Find d, given that l(d) = 0.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.32 + -0.12. Let p = 18.4 + -20. Let c = p + n. What is the biggest value in 2\/5, 4, c?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4151?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -3*k**4 + k**2. Let w(d) = -5*d**5 + 75*d**4 - 85*d**3 - 295*d**2 + 90*d + 200. Let r(m) = 10*f(m) - w(m). Solve r(p) = 0 for p.\nAnswer: -1, 1, 2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 divided by -23?\nAnswer: 33\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of j**3\/3 - j**2 + 6*j. Let w be k(1). Suppose 0 = -w*u + u + 2. Is u smaller than -6\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8280)\/1863*(-27)\/(15\/5)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3710 and 26799556.\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 + 0*i**2 + 3*i**2)*(3*i - i - i) + 2*i**3 - i**2 + i**2 + i**2 + 2*i**3 - i**2 + (-4 + 2 + 4)*(-319 + 24*i**3 + 319).\nAnswer: 53*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 33109 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 - (17 - (17 - 21)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -42*i**2 - 542*i - 62. Calculate f(-11).\nAnswer: 818","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1db (base 16) in base 7?\nAnswer: -1246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 218*d**2 - 337048*d + 30920.\nAnswer: 2*(d - 1546)*(109*d - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.251 at least as big as 2\/33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 546 = 4*r + 3*t + 562, 43 = -16*r - 2*t - 21 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 53714 or 53722?\nAnswer: 53722","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-70)\/56511*-27 - 1\/(-52)*-4.\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9918?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*w - 60 + 478 = -23*w for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0.3, -0.1, 2\/9, 0.4, -1248?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 380098 is divided by 618?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 331, 1598, 3709, 6664, 10463, 15106?\nAnswer: 20593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -113*i - 135. Let x be g(-6). What are the prime factors of (-1810)\/x*((-312)\/(-10))\/(-1)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 - 6*p**2 + 4*p + 2. Let l be o(5). Let x = -70 + 78. Let z = -8.2 + x. Which is the third biggest value? (a) -1 (b) z (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*z + 58*z - 31*z - 11)*(2*z**2 - 2*z**2 - 2*z**2)*(5 + 4 - 3).\nAnswer: 24*z**3 + 132*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*m - 83*m = 0. Suppose -4\/7*g - 5\/7*g**3 + 8\/7*g**2 + m + 1\/7*g**4 = 0. What is g?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen halves of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27444121109 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 d, and 1 r when three letters picked without replacement from rggcdd.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of -l**8\/840 - l**7\/210 + l**6\/60 + l**5\/15 - l**4\/3 + 32*l**3\/3 - 4. Let q(x) be the third derivative of r(x). Factor q(w).\nAnswer: -2*(w - 1)**2*(w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2541) + sqrt(2541)*1 + sqrt(2541) - sqrt(2541))\/(-1*sqrt(3)*-4)*1.\nAnswer: 11*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of 11*k**4\/8 - k**3 + 2*k**2 + 62. Calculate the remainder when 75 is divided by b(1).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -544, -377, -196, 5, 232, 491?\nAnswer: 788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a + 3. Let y be g(3). Let i be (y + (-2)\/57)*-3. What is the nearest to -2 in i, -2\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 779?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(48)*1.\nAnswer: -16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27536274 by -339954.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*i - 0. Let m be ((-4302)\/(-12))\/((-1)\/i). Let c = m + 1298. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccc when three letters picked without replacement from {c: 5, b: 15}?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*((-605)\/(-201) + -3). Which is bigger: 0 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-1\/6)*j**(7\/5)*j)\/((j*(j*j**(-36))\/j)\/j*j*j**39))**(-4\/13) assuming j is positive.\nAnswer: j**(2\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 AM and 9:40 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-3) - (-156)\/(-36).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 1, 33 in descending order.\nAnswer: 33, 5, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 3*q - 20. Suppose 1 = -y + 2*y. Sort y, 2, q in descending order.\nAnswer: 2, y, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*c**2*h*w**3 + 12*c**2*h*w**2 + 92745*c*w**5 + 65670*w**2 wrt w?\nAnswer: -78*c**2*h + 5564700*c*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1.996903t?\nAnswer: 1996903000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1350000436 a multiple of 159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3100, -1, -4, 1 in ascending order.\nAnswer: -3100, -4, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3613899389?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**4\/15 + 30790*t**3\/3 - 11414204*t**2\/5 + 2535574184*t\/15 - 62564154256\/15.\nAnswer: 2*(t - 74)**3*(t + 77197)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/742 and -91\/23428.\nAnswer: 8691788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 28, 20, 6, -14, -40?\n\"Answer: -3*i**2 + i + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000138484837 to 7 decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 4*n + 4. Let c be s(-3). Let h be c + 3 + -3 + 1 + 2. Let o(i) = 4*i**2 - 5*i - 13. Is o(h) a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27807 - 27804. Let c(g) = -2*g**2 + 2*g - 2. Suppose b = -b + 4. Let y(d) = 2*d**2 - 3*d + 1. Give b*y(v) + u*c(v).\nAnswer: -2*v**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -2*y - 2, 0 = 4*y + y + 3*w + 12 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 19*s**2 - 720*s - 11. Give x(38).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of d**5\/6 - 2*d**2 - 31. Let o(w) = -6*w. Give j(o(x)).\nAnswer: 360*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-9)\/(-12))\/(8\/32). Suppose -p - 2*u + 1768 = 0, -k*u = -5*p + 3*p + 3543. What is p rounded to the nearest 100?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 189 divide 371015127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9732 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 - 37*t + 320. Give l(13).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5076 (base 15) in base 8?\nAnswer: -41132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -5.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 5*d - 13, 5*y - 2*d = 10 + 1. Suppose -5*i = -t - 18, y*i + t - 3 = -t. Solve 2 + 10 = -i*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ippvwpwiwppwpwppbbi. Give prob of sequence ii.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 11*g**2 + 308*g. Calculate p(-28).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**4\/3 - 353*j**3 - 68634*j**2 - 10563520*j\/3 - 36825600 = 0. What is j?\nAnswer: -80, -14, 1233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3*k - 1. Let d be l(3). Solve -4*g + x + d = -0*x, -3*g - 2*x = -17 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of x - 2. Let v(u) = -u**2 + 3. Let g be 0\/2 - 27\/9. What is g*w(l) + v(l)?\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-2)*(-906)\/(-13). Let g = -35 + t. Let f = 2.8 + 0.2. Which is the biggest value? (a) -4 (b) f (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22986 is divided by 198.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/182728 and 33\/65260.\nAnswer: 913640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*n - 26*n - 1428 = -4*n for n.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*-1 + (7 - 5 - -4). Let u be 192*(1\/g - (-16)\/20). Suppose u = 5*l - 258. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6194*l**3*u**2 + 2*l**3*u - 1456*u**2 wrt l.\nAnswer: 18582*l**2*u**2 + 6*l**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -9*s**2. Let o(x) = -14720*x. Determine o(r(d)).\nAnswer: 132480*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90439.\nAnswer: 90439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*(5 - 2)*-3. Let a be ((-3)\/2)\/(d\/(-12)). Let f be (5 - 1)\/a - -11002. Round f to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/12 + (-26)\/(-15 + (-1870)\/(-130))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 16*x + 10*x - 29*x.\nAnswer: -35*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 - 17.1. Which is the third smallest value? (a) n (b) -0.02 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 884645 is divided by 118.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/7 and (9 - 0)\/(8\/(-1)).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 12:10 AM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 AM and 4:51 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-8.7.\nAnswer: 8.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19305278 is divided by 3956?\nAnswer: 3954","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17*1\/(-3 + 2) - (-765)\/85) + 103?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11\/34, 2\/3, 8, 1 in descending order.\nAnswer: 8, 1, 2\/3, 11\/34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 + 489010*u**2 - 22.\nAnswer: 489010*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 231157839?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/4 - (-38)\/8. Let r be -5 - (w + -2 + -3). Let z(k) = -17*k + 4. Is z(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 173.955 - 174.9. What is v rounded to one decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m - 13*m**2 + m.\nAnswer: -13*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2658 is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 57089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1330.044 - -1382.04412. Let c = 52 - x. Round c to five dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*m + m + m)*(21*m**2 - 25*m - 6 + 25*m) + (-2*m**2 + 3 - 3)*(2*m + 2*m - 2*m) to j*m**2 + v*m**3 + h + a*m and give v.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 3, 55 = n - 0*n + l. Suppose -4*f + 53 = c - 0*c, 2*c + 5*f - 109 = 0. Which is bigger: c or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1074)\/(-135) + 141\/(13818\/(-784))?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 - 11 = -6*a - 2*j, 3*j = -a - 5 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11007 + -11003. Solve -4*j - 8 = d*n - 7*n, 0 = 5*n - 2*j - 18 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 3 e when four letters picked without replacement from {s: 5, e: 12, a: 2}.\nAnswer: 110\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 15 = 4*q. Suppose 4*l - m - q = 2*l, 2*l + 4*m = 0. Suppose -l*t = -2*x + 6, 9 = -5*x - 0*t - 3*t. Solve x*z = -5*z + 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.36 + 0.33. Let y = d - 0.061. What is y rounded to 2 decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 239450.\nAnswer: 2\/119725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/5843 or -1?\nAnswer: 2\/5843","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -879\/2 less than or equal to -440?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -6, -3, -170, -1\/7, 5.\nAnswer: -170, -6, -4, -3, -1\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1319379890749 + 1319379888143.999994983. Let h = 2605 + z. What is h rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/2 + 1*4. Let u = 89 - 41. Suppose -l*h + u = h. Calculate the highest common divisor of 4 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-9))\/(26\/(-156))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*m - l - l, -4*l = -8. Is (m - (-585)\/2)\/(49\/98) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**10*l\/(l*l\/l**(-1)*l))**(-2\/33) assuming l is positive.\nAnswer: l**(8\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d*((d*d**(-3))\/d)\/d)\/d*d\/((d**(3\/11)\/d)\/d) assuming d is positive.\nAnswer: d**(8\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5330592554 to the nearest integer?\nAnswer: 73011","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 53 (base 8) to base 13\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/1260*-9*(6 + (-12)\/6)\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + 66*a**2 - a - 78. Calculate v(-66).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-55)\/(-165)*(-153)\/204\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1706 = 13*p - 3*p - 334. Solve -202*h = -p*h - 10 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away 152.7?\nAnswer: -152.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4373368832 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17945 and 89725.\nAnswer: 89725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-243660)\/(-36) - 12\/9)\/1.\nAnswer: 67, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 270*b**2*o**2 - 8*b*o**2 + 33*o**2 - 5*o - 13 with respect to b.\nAnswer: 540*b*o**2 - 8*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 - 15. Suppose 2*v - 8 - 16 = n. What is the units digit of (-111)\/2*(-16)\/v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 4*j = 0, 3*f - 4*j - 15 = -2*j. Suppose -3*s + 4 + 2 = 0. Let p(k) = -2*k**2 - 4*k + 3 - k**2 + 2*k**2 - k**s + k**3. Calculate p(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -392192 + 392181.99996. Let x = w + 10. Round x to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 13*p**2 - 12*p - 6. Let v be b(12). Let w be 12\/5 + v\/15. Suppose 0 = w*j - 36 - 24. What is the highest common divisor of 75 and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(14\/3)*p*p*p*p\/(p**14*p))\/(p*p**(-2)\/p)**(-12) assuming p is positive.\nAnswer: p**(-91\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of 11\/6*o**3 + 0 + 0*o**4 + 0*o**2 + 1\/4*o**5 - 2*o. Let f(j) = -j**3 - 2*j. What is 22*f(m) + 4*i(m)?\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 2638 = -752. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2542*p**2. Let q(w) = 1020 - 506 - 514 + 23*w - 21*w. Give q(a(b)).\nAnswer: -5084*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 68, 135, 202, 269, 336, 403?\n\"Answer: 67*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-231)\/5852)\/(-1 - (-45)\/40).\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 3*h - 7*n - 2969954, h + 3*n = 989966. Let w be h\/(-33) + (-2)\/3. Round w to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/7, -0.3, -0.2, -145, 1, -17?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 606.83 - 610. Round y to zero decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 4. Let t be 6\/h + 14\/4. Solve -t*i = -3*i - 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.06 - 0.402. What is r rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -720*b**3*r + b**2 + 2*b*r - r + 319 with respect to b.\nAnswer: -2160*b**2*r + 2*b + 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1927370908 to the nearest integer?\nAnswer: 43902","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 + 5*f + 122. Determine k(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-1*(-4)\/9.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 5288.\nAnswer: 47592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -58\/12114399 and -17\/8706.\nAnswer: 24228798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16.4 + 57.4. Let y = m - 39. Which is the nearest to y? (a) 5\/6 (b) -0.4 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 13 (c) -1\/5 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -21889*m - 457. Let u(q) = -10944*q - 211. Calculate -6*l(c) + 13*u(c).\nAnswer: -10938*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, -31, 0.5, -5 in ascending order.\nAnswer: -31, -5, 0.5, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3403 + 4993. What are the prime factors of a?\nAnswer: 2, 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 228 + -231.07. Let w = v - -1.07. Let p = -7 - -19. What is the second smallest value in w, 2, p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 0 + 3*(-2)\/51 and 39.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 6:46 AM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 560614073?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -34 + (24 - (12 + 3 - -1))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + 346a943?\nAnswer: 346a945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010100001 (base 2) to base 3.\nAnswer: 220221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 23 and 1.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 99 and 693?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -671*u**2. Let d(m) = -m. Determine v(d(f)).\nAnswer: -671*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 405906 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3888 - 3301.4. Let k = 587 - g. Which is the fourth smallest value? (a) -0.1 (b) k (c) 5 (d) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 146 divided by 31.\nAnswer: 146\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (69363 - 274*b - 69363)*(-33*b**2 + 2*b**2 + 13*b**2) as l + z*b + c*b**3 + m*b**2 and give c.\nAnswer: 4932","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**4 - i**3 - i**2 + 2*i - 1. Let q(l) = 10*l**4 - 5*l**3 - 5*l**2 + 30*l - 5. Let h(b) = 5*f(b) - q(b). Find the second derivative of h(o) wrt o.\nAnswer: -60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-6)\/4)\/((-198)\/(-8)))\/(38*(-34)\/(-9690))?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3 - 25888*l**2 + 775290*l - 5811300.\nAnswer: 2*(l - 12914)*(l - 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 376 by -664.\nAnswer: -47\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -115837, -231579, -347321?\nAnswer: -463063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -5*l. Let y(d) = -3*d. Let x(n) = -4*t(n) + 7*y(n). Let s(h) = -6*h - 1. Let b = 3 + -7. Give b*x(z) + s(z).\nAnswer: -2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26713?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 6989598?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.99 in -13, -0.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 174 = 3*x - 22, -4*m + 138 = -2*x. Let y = x + 163\/2. Calculate the common denominator of 99\/20 and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2 = t, -3*t = 5*h - 73. Suppose -21352*c + 21339*c + 91 = 0. Solve c*m = 14 + h for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -99 + 104. What is the second derivative of -2*l + 5*l**3 - 23*l - 454*l**k + 451*l**5 wrt l?\nAnswer: -60*l**3 + 30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/3 and -26\/49833.\nAnswer: 49833","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 537 - 537 + d.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1259?\nAnswer: 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.3 - -1.3. Let g = -3 + d. Let s be (2\/4)\/(1\/8). Put g, -5, s in decreasing order.\nAnswer: s, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/14? (a) -4\/5 (b) -1 (c) -2\/17 (d) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14001 + -170?\nAnswer: -14171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9612 and 602340786.\nAnswer: 4806","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*s + 4*s - 3*q - 10, 0 = 2*s - 5*q + 35. Let j be s\/(-11)*(-2)\/(-5). Put 5, j, 4 in ascending order.\nAnswer: j, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**2 + 18*m - 79. Is z(7) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-764)\/6 + 65*(-90)\/8775.\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50583308 to the power of 1\/2, to the nearest integer?\nAnswer: 7112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q + 8 - 8 - 2 + 0. Let j(w) = w**2 - 4*w - 3. Let h be j(5). Determine y(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 377152\/31 + -12165. Calculate the common denominator of (-82)\/(-18) - (0 - 1) and z.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1635954)\/(-50) - (33 + (-15637)\/475)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9972 smaller than 9975?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8\/299890765 and 107\/30?\nAnswer: 1799344590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -5 - 3, -5*d + 4*m = -542. Let t = 114 - d. Solve 5*j - 2*j - 9 = 3*q, 2*q - 3*j + t = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 102300 = 37*v. What is the common denominator of -21\/104 and -5 + (-22735)\/v + 2\/15?\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of -c**4\/3 - 3*c**2\/2 - c - 2. Let h(n) = 25*n**2 + 17. Determine -6*h(a) - 34*l(a).\nAnswer: -14*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*c**3 + 202*c**3 + 9*c**3.\nAnswer: 245*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 31386828+0.012\nAnswer: 31386828.012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 135 divide 61050?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (57 - 57 - 78*w)*((0 - 2 + 0)*(-w + 0*w + 2*w) + (-1 + 0 + 0)*(-2*w - 2 + 2) + 4*w + w - 4*w).\nAnswer: -78*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1909, 0, 0.4, -2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 140 = 3*b. Calculate the remainder when 8\/(-5)*(-11385)\/66 is divided by b.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*x + 3855 = 69*x. Solve 7*w - 1313 = -x for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 176 - 176 + 166*h + 4 - 2*h - 4 + (-1 + 5 - 3)*(-h - 3 + 3) - 3*h + 3*h - 2*h + 6*h + h - 3*h in the form s*h + z and give s.\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 2*f + 186. What is the remainder when f is divided by 6\/(24\/(-28)) + (61 - 45)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/4 + (-10)\/(-4). Let k(j) be the first derivative of -j**3\/3 + 3*j**2 - 4*j + 5. What is the units digit of k(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2742 by -6.\nAnswer: -457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -13 + 15 - 10\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 88721 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 12 = -3*t, -t - 6*r = -2*r - 4. Suppose 5*d = -t + 14. Factor -4*x**4 - 3*x**2 - 2*x**5 - 6*x**4 - x**d + 2*x**4 - 10*x**3.\nAnswer: -2*x**2*(x + 1)**2*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + 3b4?\nAnswer: 3b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-464)\/(-3) - -17)\/(2\/36)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -10, 2\/9, -17?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2\/7 + 81*n\/7 - 78\/7.\nAnswer: -3*(n - 26)*(n - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 - 2 = -16*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27 + -14. Let d = w + -14. Is -3 + 36 + d + 3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7\/8, 2, 4, -8, -1, 0.01, 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9686.9488 - 9683. Round l to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, z: 2, q: 1, f: 1, s: 1, c: 1}. What is prob of sequence qc?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 549764820 and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 - 19*y + 85. What is h(27)?\nAnswer: 301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a kilometer in meters?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6531522 (base 7) to base 2.\nAnswer: -11000010110000101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-34)*t)**(-42)\/(t**(-42)*t*t**(-14\/9)\/t) assuming t is positive.\nAnswer: t**(12488\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q. Let w(o) = -o**2 + o - 1. Let n(l) = l**2 - 2*l + 2. Let c(h) = 2*n(h) + 4*w(h). Determine f(c(g)).\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -975246 divided by -3.\nAnswer: 325082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113206*g**2 - 2*g**3 + 113206*g**2 + 135 - 135.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 11769 = z, -c + 2*z = 2*c - 8824. What is the remainder when c is divided by 109?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1201 is divided by 218.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u**4 - 45*u**3 + 335*u**2 + 1845*u - 6930 = 0 for u.\nAnswer: -11, -7, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -56*j - 7. Let k(a) = -6*a - 1. Give 22*k(r) - 2*l(r).\nAnswer: -20*r - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(228)\/(sqrt(132)\/(sqrt(44) + sqrt(11) - sqrt(11))))**2.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 10:10 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*k - 7 = 115*k + 3*f, -4*k - 2*f + 22 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -144d4 (base 14) to base 13\nAnswer: -19c00","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 625393235 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -480550 or -480152?\nAnswer: -480550","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 + 227 = -67*o - 140 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 965 and 19058364.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2580 and 27427292?\nAnswer: 411409380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a micrometer in nanometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37 + 42. Find the common denominator of -51\/5 and (w - 3) + (-180)\/21.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11361, -3, -2021 in increasing order.\nAnswer: -11361, -2021, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-2)*1)\/(3\/24).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 22*r**4 + 768*r**3 - 20684*r**2 + 21696*r - 1802 = 0.\nAnswer: -53, 1\/11, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 2, -211 in ascending order.\nAnswer: -211, -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 930331 and 1640.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 - 3*w + 9 + 2 - 8*w**3 + 50*w**3 in the form q + d*w**2 + t*w + j*w**3 and give j.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -8*m - 700. Let d(l) = -2*l - 20. Let v be d(-12). Is 15 a factor of ((-12)\/14)\/(v\/m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1698090633\/464 + -3659676. Let y = -66\/29 + h. Which is smaller: y or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*x - 5*g = 17*x - 10618, 2*g = 4. Round x to the nearest 100.\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1482\/(-24))\/(-13))\/((20\/(-4))\/(-20)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 254 = -311. Let h be 4\/(-10) - (-1714)\/10. Calculate the greatest common divisor of u and h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9127.5 - -9128.5. Let g be 53\/3 - 2\/(-6). What is the biggest value in g, -5, f?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 350 is divided by 171.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -14*u - 36. Let r be x(6). Let i = -117 - r. Let p be 6\/7 + (0 + i - 3). Which is the third biggest value? (a) -5 (b) 5 (c) -3\/7 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -247 + 21. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5694\/(-69) - (-39 + -43).\nAnswer: -12\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2\/5 + 148416*z\/5 - 5618148.\nAnswer: -3*(z - 49282)*(z - 190)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 7*h**2 - 4*h - 14. Let k be r(8). Suppose 3*v + 6*v + k = 0. Let g = v + 7. Solve 0 = g*o - m + 4*m - 32, 2*o + m = 12 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5428 (b) 2.92 (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a**2 - 26*a + 6. Let z be l(-13). Suppose 18*p = 15*p + z. Find the third derivative of 2*k**4 + 24*k**2 - p*k**4 + 165*k**6 - 192*k**6 wrt k.\nAnswer: -3240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 12 = -f. Let j be (2\/6)\/(2\/204). Suppose -f*o - 7 = -j. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 36 + 13 = 5*j, -2*i + 5*j = -11. Is 91\/2*(i + 4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 227581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/((-121)\/(-110) - (-1)\/(-10)). Let o(m) = -m - 5*m + 5*m + 7. Calculate o(r).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -3) + (-2 - (4 - 8)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of 1\/300*h**6 - 17\/60*h**4 + 70*h**2 + 3\/5*h**3 + 7\/150*h**5 + 0*h + 0. Find q, given that f(q) = 0.\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 plus -281084?\nAnswer: -281084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -1 - 2*j + j**3 + 1 - 1 + 2. Let h be d(1). Suppose -4*v + 3*o + 535 = h, -2*v + 3*o + 335 = 66. What are the prime factors of v?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9909661 is divided by 2050.\nAnswer: 2011","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 20 = -4*d, 2*o + 8 = 2*d - 2. Suppose 3*k + 3 = -o. Let a = 3 + k. Solve -3*j = -j - 5*g - 10, 5*j - a = g for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 11, l: 5}. Give prob of picking 3 e and 1 l.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/8)*p\/p**(2\/53))\/(p**(-8)*p*p\/p**(-10)) assuming p is positive.\nAnswer: p**(-1341\/424)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {d: 9, j: 7}?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -123032130 - 12?\nAnswer: -123032202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5\/18229 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/1*-3*(-28)\/(-504).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 285 + -2277\/8. What is the second smallest value in z, -3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 + 11*q**2 + 21*q + 94. What is g(-10)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.9*-426.87\nAnswer: -384.183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 PM and 7:51 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 + 562 + 53*m - 38.\nAnswer: 53*m + 555","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 PM and 10:37 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -5*z**3 - 3*z**2 + 3*z - 3. Suppose 0 = 4*x + 5 + 11. Let f(w) = 6*w**3 + 4*w**2 - 4*w + 4. Let y be (10\/15)\/((-2)\/9). What is x*s(r) + y*f(r)?\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -75*y**3 - 107*y**3 - y**5 + 137*y**3 + (-4*y**4 + 6*y**4 + 0*y**4)*(2*y - 4*y + y).\nAnswer: -3*y**5 - 45*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*x - 252 + 39 = -7*x. Let y(t) be the first derivative of t**2\/2 - 2. Determine y(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 196 and 11564.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -b + 3865, -2*b + 2 = -0*b. Let n = w - 328. Is n a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/11 + 39518*i\/11 - 276528\/11.\nAnswer: -2*(i - 19752)*(i - 7)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 4 = -2*l + 14, -q - 1 = -2*l. Let b be 4*q\/(-54)*-3*6. Solve 2*d = 3*d + b for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 - -37. Let l = 2 + -3. Calculate the remainder when n is divided by 30\/4 - l\/(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/((sqrt(45)\/sqrt(5))\/sqrt(3)))\/(sqrt(10)\/(sqrt(320)\/sqrt(4) - sqrt(5))).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 18, 21, 24?\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3 = 2. Let l(w) = w - 2. Let p be l(y). Which is the closest to -3\/7? (a) p (b) 4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 + 3. Let g(d) be the second derivative of 0*d**3 - 17\/2*d**2 + 0 + 6*d + 5\/12*d**4. Let k be 7\/14*20 + -4. What is k*g(u) + 34*y(u)?\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 equal to -71\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 4. Let v(b) = -b**3 - b**2 - b - 1. Let k be v(2). Let i = k + 76\/5. Which is smaller: c or i?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.651795 rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 190 and 1406?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 4 - (4 + (-3 - -1)). Let j = 1 - g. Suppose j = 6*d - 7*d. Solve b - 5 = -d*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*l - 143*l - 31 = -5*q, -3*l - 5*q = 9 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 49*t**2 + 44*t + 39. Let x be s(19). What is the second derivative of 0 + 6*j**2 + x*j - 18581*j + 0 + 6*j**4 wrt j?\nAnswer: 72*j**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1743746 and 2440?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, -4, -44, -124, -256?\nAnswer: -452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 142\/253? (a) 2\/15 (b) 16 (c) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 84, 166, 246, 324, 400?\n\"Answer: -j**2 + 85*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4627 + -4626.5516. Round n to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -546314*f*j**3 - 2*f*j**2*z - 2*f*z + 7204334*j**3 + j*z wrt f?\nAnswer: -546314*j**3 - 2*j**2*z - 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a + 12. Let w(v) = 3*v + 36. Let q(j) = -11*l(j) + 4*w(j). Let m be q(-7). What is the closest to -1 in m, 0.07, 0.2?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -99 + 58. Let h = -87 - b. Let n = h + 45.46. What is n rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 - l + 1. Let m be (-3)\/9 + (-8)\/(-6). Let w be x(m). Let h be (0 - 1)*w - -1. Sort -1, h, -4 in descending order.\nAnswer: h, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/(-4))\/(-3)*132\/33\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-420*s + 1542 - 1542)*(16*s**2 - 5*s + 8*s - 3*s).\nAnswer: -6720*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -46.9 - 6.1. Let q = -50 - w. Let k = -2 - -6. What is the nearest to 2\/7 in k, 1, q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 AM and 3:49 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of -482*c**3\/3 - 571*c**2\/2 + 90*c - 1. Differentiate n(b) with respect to b.\nAnswer: -964","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12 + 5)*1\/7*-3. What is the smallest value in -3, 0.02, x, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17892 divided by -84\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 8. Let h be -2*4\/16*v. Suppose h*x = 31 + 71. List the prime factors of x.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-4 + (sqrt(125) + -1 + sqrt(125) - sqrt(125))*2 - (-4*(5 + -1 + sqrt(125)))**2).\nAnswer: -2262 - 630*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -28 divided by -2\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -89464*y**2 + 2*y + 44743?\nAnswer: -178928*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 14 = 4*k - 7*k, -5*k - 30 = -c. Suppose 5*o + 3*l + l = 179, -3*o + l + 121 = 0. Calculate the remainder when o is divided by c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -181 - -271. Let c be (-1)\/(-8) - q\/(-48). Let h(a) = c*a - 9*a + a - a. Let k(f) = 3*f**2. Give h(k(i)).\nAnswer: -21*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78\/(-39)*-2*(-4)\/16.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 94 = 8. Let v be 6\/(-15) + t\/(-10). Solve 0 = v*a + 5 + 1 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-22*(-27)\/8316)\/((6\/(-132))\/(1\/1))\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 + 1. Let r(i) = -2 - 5*i**2 + 4*i**3 - 13*i**3 - 124. Let h(g) = 3*o(g) - r(g). Find the first derivative of h(t) wrt t.\nAnswer: 27*t**2 + 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49483 = 10*p - 119237. List the prime factors of p.\nAnswer: 2, 3, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(1 + sqrt(405)) - (1 + sqrt(405) + 1 - sqrt(405)))**2*2.\nAnswer: 3240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 28?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/10)\/(6\/15). Let f = 57 + s. Is 30 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 242991.\nAnswer: 3, 7, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h**2. Suppose -4*v + 9 = w, -4*v - 5*w - 2 = 1. Let p(s) = -s + v*s - s - 4*s. Determine u(p(m)).\nAnswer: 18*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -24 + (15 - -13) + 69 + 0 + -3\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-142 - 180 - 26)*(-x + 2*x + 0*x) in the form i*x + h and give i.\nAnswer: -348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -499118?\nAnswer: -499118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is o in o**5\/6 - 11*o**4\/6 + o**3 + 22*o**2\/3 - 20*o\/3 = 0?\nAnswer: -2, 0, 1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -552, -1100, -1646, -2190, -2732, -3272, -3810?\nAnswer: -4346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of j**4\/12 - 2*j**2 - j. Let s(c) be the first derivative of x(c). Let q(f) = f**2. Give q(s(i)).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3*j**3 + 24*j**2 + 24*j - 13. Let t(c) = -2*c**3 - 23*c**2 - 23*c + 12. Let m(w) = -4*t(w) - 3*y(w). What are the prime factors of m(20)?\nAnswer: 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, l: 2, d: 1, i: 10}. What is prob of picking 1 j, 2 l, and 1 d?\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, z: 3, t: 1, k: 2, h: 5, m: 7}. What is prob of picking 1 k, 1 c, and 1 t?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-174))\/(3955\/(-7119))*(-30)\/27.\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -26. Suppose 2*z + j = 7*z. Suppose 5*k = 3*f - 91, -k + 90 = 5*f + z*k. What are the prime factors of f?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -5*n**3 - n**2. Let p be q(-3). Suppose 3*z - p = z. Let h = z - 43. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.639428 rounded to 2 dps?\nAnswer: -0.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 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: Simplify l**(-6)*l**(-18)*l**(3\/8)*l*l**(-17) assuming l is positive.\nAnswer: l**(-317\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2839098?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -75*h*r - 220*h + 2*r wrt r.\nAnswer: -75*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27311, -23793, -20285, -16793, -13323, -9881, -6473, -3105?\nAnswer: 217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of -7*a**4\/12 - a**3\/3 - a**2 - 1849*a. Let b(v) = v**2 + v - 1. What is 5*b(c) + q(c)?\nAnswer: -2*c**2 + 3*c - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 - 9*m - 1. Determine i(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/9 + (-29 - (-2358)\/81)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1428\/7 + 10 + -1 is divided by 59?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = c + 12, -c - 3*v + 32 = 42 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -2*q - 74258. Let i be 119223\/6 + 3\/6. Let a = q + i. Round a to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 413048940?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 137 - 94. Calculate the remainder when q is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 659271286 to the nearest integer?\nAnswer: 870","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5814090 is divided by 563.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -65*s**4 - 24*s**4 + 6*s**4 + (2*s + 6*s - 4*s)*(-s**2 + s**2 + 2*s**3) to r*s + n*s**2 + h + o*s**4 + w*s**3 and give o.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 + 6*i + 4. Let c be -1 + -2 + 2 + -4. Let o be m(c). Which is greater: o or -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -656*i + 7226. Let t be (-1)\/(-3) + (-22)\/(-6). Suppose 5*g + 3*p - 33 = 0, t*g - 5*g = 2*p - 8. What is the remainder when q(11) is divided by g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34651025?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of p**4\/4 + 2*p**3\/3 - 43*p**2 - 8. Let a(k) = -2*k. What is f(a(v))?\nAnswer: -12*v + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2530373 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 135, 267, 397, 525, 651, 775?\n\"Answer: -u**2 + 135*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 120754*x**3 + 2854*x - 952958568.\nAnswer: 362262*x**2 + 2854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 7:58 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-437 - -423) + (-3 - -57).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 - 4*f**2 + 2. Let z be a(-4). What is the smallest value in 5, 4\/7, z, 1?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3618631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 12:19 AM?\nAnswer: 9:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -27*v + 301. Give s(9).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 5*f + 14. Suppose v + 0 = 5. Suppose 15 = 3*y - 9. What is the remainder when i(v) is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -4\/23 (b) 2 (c) 0 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*g + 195 + 45. Let z = -47 + 87. What is the highest common factor of g and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 78 - -13. Suppose l + 1 = 2*l, -5*c + 4*l = -v. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.01 in 1, 0.5, -1\/5, 2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8811 - 1183. Let j be -4080*(-4 + (7 - w)). What is j rounded to the nearest one million?\nAnswer: 31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1348a + 73?\nAnswer: -13417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -3*w - 25111, -60 = 4*w - 40. Is y a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000310225 rounded to six decimal places?\nAnswer: -0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uttutuutjuuutdutjdu. Give prob of picking 1 u and 1 d.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of -25*h**3\/6 + 238*h**2 - 5700*h. Calculate i(19).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -643, 43 in increasing order.\nAnswer: -643, -4, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2 + 2 + 1 + 2*q**2 + 0. Let u be c(1). Suppose u*x - 7 = 2*x + s, -3*x = -5*s - 13. What is the remainder when x is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f + 10. Let y be k(3). Let r = -43 + 46. Suppose 0 = 4*b - 5*d + 5 + 10, -b = 4*d - 12. What is the closest to b in 5, y, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -430 - -487. Let o(f) = -14*f - 4. Let l be o(-3). What is the greatest common divisor of l and y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3916 + 3914. What is the smallest value in 0, m, 2\/3, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 - 199*y**2 + 24.\nAnswer: -199*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -2. Let m be ((-4)\/6)\/((-1)\/3). Factor 2\/3*j**5 - 2\/3*j**m - 2*j**4 + 2*j**3 + 0*j + o.\nAnswer: 2*j**2*(j - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of 4*s**7\/21 + s**6\/60 - 23*s**3\/3 + 4*s**2 + 2*s. Differentiate p(u) wrt u.\nAnswer: 160*u**3 + 6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -612 + 39*o + 612.\nAnswer: 39*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h**2. Let y(p) = 8692*p**2 - 6*p + 3. Let v(l) = -26085*l**2 + 20*l - 10. Let w(a) = -3*v(a) - 10*y(a). Calculate w(z(g)).\nAnswer: -34660*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 11*b - 78270 = 0. Suppose -10630 - b = -8*n. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3311909615 to the nearest integer?\nAnswer: 1491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -9*v**2 + 3*v - 3. Determine j(-3).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00835609051 rounded to 6 dps?\nAnswer: 0.008356","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.85838mg in tonnes?\nAnswer: 0.00000004185838","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (8874\/(-116))\/(-51) + (170\/4 - -2)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*b*d**3 + 2871*b*d**2 + 224*b + 3*d**3 + d**2 - 85216*d - 2 wrt b.\nAnswer: -4*d**3 + 2871*d**2 + 224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 407881659 to the nearest integer?\nAnswer: 742","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 59181 and -0.06.\nAnswer: 59180.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2 - 17534256*k - 17534258.\nAnswer: 2*(k - 8767129)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 2*q**2 - 10*q + 9. Let o be y(4). List the prime factors of (1 + 18)\/((-2)\/(-8)*o).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.05, 3, -5, 4, 6, 6914, -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -3*v**4\/4 + 297*v**3\/4 - 1680*v**2 + 3069*v = 0?\nAnswer: 0, 2, 31, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 0.1, 5, -163, -0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-20 + -9 + 5)\/2. Let p(k) = 382*k**3 + 8*k**2 + k - 44. Let h be p(a). What is h rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4894792627 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8*9\/(-90))\/((-28)\/10). Find p, given that -2\/7*p**2 - f - 4\/7*p = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 divided by 49825.\nAnswer: -26\/49825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -12162602 rounded to the nearest one hundred thousand?\nAnswer: -12200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 6}. What is prob of sequence vv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 6*g - 35. Suppose 2*w - g + 5 = 0. What are the prime factors of (w*12\/3)\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24899449.\nAnswer: 24899449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 3403?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w, -4*x = -x - 5*w + 171. Let r = 60 + x. Solve -3*l + 18 = -r*s, 5*s + 3*l = 2*s + 12 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9912)\/140 - -40)\/((-84)\/(-105))?\nAnswer: -77\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*d**4 + 3*d - 7 - 2*d**2 + 8 - 5*d**4 as v*d**3 + a*d + c*d**4 + n + y*d**2 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -a8215 (base 13) to base 6\nAnswer: -10301142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -2641283 to the nearest one thousand.\nAnswer: -2641000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 165318 and 1121.\nAnswer: 3141042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1362 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p + 2*p**2 + 4 - 2*p**2 - 3 + p**2. Let w(c) = c**2 - 3*c**2 + 4 + 2*c - 4 - 3. Calculate 7*g(j) + 3*w(j).\nAnswer: j**2 - j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -37*k + 128 - 14 + 39*k + (1 - 2*k - 1)*(1 - 4 + 5) - 4*k + 3*k + 2*k - 3*k + 3*k - 2*k.\nAnswer: -3*k + 114","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + 34*3\/(-6). Let l(g) = -g**2 - 13*g - 13. Let h be l(-12). Is (a\/(-27))\/(h\/(-237)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -42 or -22?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2343, 2, 0, -1.\nAnswer: -1, -0.2343, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/1421854 and -95\/125123152.\nAnswer: 125123152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 140588?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*z + 5*b + 130, -2*b + 63 = 8*b - 0*b + 273 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k + 5*k - k + (6 + 2 - 2)*(21 + 35*k - 21).\nAnswer: 212*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 - 1 - 2*j)*(2 - 3*j - 2) - 2*j**2 + j**2 + 2*j**2 - j**2 - 5*j**2 + 4*j**2)*(-4*j - 2*j + 8*j) to the form p*j + z*j**3 + g*j**2 + f and give z.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -3*d**3 + 7*d**3 + 3*d**2 - 5*d**2 + 1. Let p be z(1). Let i(r) = 31*r - 1. Let k be i(1). Calculate the greatest common factor of k and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/(-7) - (-10 - -8)) + 41 + 5420\/(-70)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -7*w**2 - 3*w - 114. Let b(k) = -3*k**2 - k - 56. Determine 10*b(d) - 4*v(d).\nAnswer: -2*d**2 + 2*d - 104","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(171) + 2.\nAnswer: 2 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -u - 4*j, 3*u - u = -3*j - 4. Let v(k) be the first derivative of -3*k - 2\/3*k**3 - u - 2*k**2. Give v(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 3:46 AM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g**3. Let v(b) = -b**3 + 5*b + 3*b**3 - 4*b + 1. Suppose 0 = -14*d - 16 - 12. Determine d*v(r) - 3*c(r).\nAnswer: 2*r**3 - 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-15*19\/(-285))\/(38\/(-4))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 69204926 by -4070878.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 4*w**2 - 4*w + 3. Let c be i(3). Suppose c*f = -4*f. Suppose f = -2*u - 3 - 1. Which is greater: u or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 76 - -18708551?\nAnswer: 18708637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*t**3 + 23*t**2 - 14*t - 5 = 0. What is t?\nAnswer: -1\/4, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yoo when three letters picked without replacement from ysssoyosssssssyss.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1065 and 120?\nAnswer: 8520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in 206, -2\/3, -73.44, -4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2559000 by -1706.\nAnswer: -1500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 77665 (base 10) in base 4?\nAnswer: 102331201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -216 + 217. Let w(v) = -3*v**2 + 1 + 0 - s - 4 - 84*v + 79*v. Give w(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 5 - 3 = 0. Factor -3*i**5 + 2*i**5 - 2*i**2 - i + f*i**4 + 2*i**5.\nAnswer: i*(i - 1)*(i + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3\/2*g**3 - 3 + 9\/2*g + 0*g**2 = 0. Calculate g.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 + 27. Suppose -52*b = 30*b - 164. Solve 2*m - v*m = -3*h + 3, 2*h = -b*m + 2 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**2 + s. Let z = 17 + -15. Let g be (2\/z)\/((-6)\/(-42)). Let n(h) = -6*h**2 - 3*h - 1. What is g*v(a) + 2*n(a)?\nAnswer: 2*a**2 + a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69, -69, -77, -99, -141?\nAnswer: -209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1337*f**3 - 497*f - 930 - 2509*f**3 + 1173*f**3 - 14*f**2 = 0. What is f?\nAnswer: -15, -2, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 52*n**3\/3 - 294*n**2 - 970*n\/3 - 12 = 0?\nAnswer: -1, -1\/26, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1098769 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 PM and 7:57 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -50112 greater than -50113?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2633 - 776*a - 1468*a - 674*a wrt a?\nAnswer: -2918","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 77*n**3 - 5*n**2 + 5*n - 38. Let p(h) = 115*h**3 - 7*h**2 + 7*h - 57. Let g(u) = -5*p(u) + 7*r(u). Differentiate g(z) wrt z.\nAnswer: -108*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 620321 + 408735 = 78*f - 689362. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 165\/35*131\/((-4716)\/126)\nAnswer: -33\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14875841 (base 9) to base 15.\nAnswer: 9bbd57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 8:24 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139*a - 3644734 = -65*a - 850750. What are the prime factors of a?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 132154 and 75086?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**(1\/6)*h)*h)\/(h**0\/h))\/(h**(-1\/3)\/h)**(-35)*(h**(-1\/2))**14\/(h*h\/(h*h\/h**(-1)))**(-1\/2) assuming h is positive.\nAnswer: h**(-157\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - a - a)*(0*a - 2*a + a) + (-a + 0*a + 7*a)*(-4*a + 2*a + 3*a).\nAnswer: 7*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -108 >= 0.22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 3 = -2*j + 7, 5*j = -3*d - 4. Let p = 2 + j. Suppose p = -h + 17 + 3. Solve -2*n = -4*n + 5*r - 25, 3*n + h = 4*r for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1221 + 212201?\nAnswer: 210210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-14) - (0 + 0). Let v = -190.7 + 191.7. Sort 1\/2, -1, m, v in ascending order.\nAnswer: -1, m, 1\/2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88712 (base 9) to base 5.\nAnswer: 3341043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 54 = 2*w - 8, 14*i - 4*w + 106 = 0 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1212, -1260, -1320, -1392?\nAnswer: -1476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 4\/9, 15, 17, -13, -5, -2.4?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/(-8))\/((-8)\/576). Let d = b - 42. 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: Suppose w - 2*j = 6, j + 2 = w - 1. Let l be w - 2 - (-3 - 1). Suppose -28 = 123*q - 13*q - 248. Solve -l*z - 4 = -q for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by 357740.\nAnswer: 7\/178870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 580 and 1660.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 times -363?\nAnswer: -3630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 259.5 - 381.5. Let k = -1069.4 + 1191. Let y = k + q. Which is the second biggest value? (a) -0.2 (b) 8 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/5 (b) 0.5 (c) -1\/11 (d) 0.028\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 266 is divided by 250.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.2 times -2057?\nAnswer: 20981.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 158c6 + -1?\nAnswer: 158c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 319 + 2?\nAnswer: 31b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 615700 and 2585?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of f**5\/24 + f**4\/8 + 5*f**3\/3 + 5*f**2 + 99. Let p(r) be the third derivative of l(r). What is p(-4)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 + (-32 - 4) - -32 - 63\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 152569044 a multiple of 436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112498 - 5*o - 112498.\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 177490 and 560655412.\nAnswer: 2803277060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bf when two letters picked without replacement from {b: 9, l: 8, v: 1, f: 1}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 831 + -314. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.9 - -0.9. Let f = h - -0.3. What is the nearest to -0.1 in 2, f, -3\/2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 57\/24 - 15\/40. What is the second derivative of -11*p**2 + 1 + 19*p**2 + 115*p - 56*p**c - 30*p**2 wrt p?\nAnswer: -156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - sqrt(121)\/sqrt(275))**2*-4.\nAnswer: -704\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - 27*r**2 + 75*r - 66. Let o be g(24). Solve 5*c = u + 18, c - 5*u - o = 12 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 + 20. Suppose 4*n = 2*n + z. Suppose -45 = -n*c - 4*b + 3, -c - 4*b + 24 = 0. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3110*g - 331*g - 686 + 3835*g**4 + 3559*g + 94743*g**3 - 39772*g**4 + 3707*g - 50589*g**2.\nAnswer: -(g - 2)*(33*g - 7)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = 5*q - 2, -133*q - 459 = -3*p - 719 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 1. Let h(s) = s - 10. Let w(k) = -k + 10. Let r(o) = -5*h(o) - 6*w(o). Let n be r(5). Which is the closest to i? (a) n (b) 2\/3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 44*u - 18. Let r be n(-9). Let v be r\/(-42) - (-2)\/14. Suppose 3*y = 4*m + 13 + v, 4*y + 4*m - 40 = 0. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 8406?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 10\/11*x**2 - 12\/11*x - 2\/11*x**3.\nAnswer: -2*x*(x + 2)*(x + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-36)\/20)\/(9\/(-1605))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + -2e3c3a?\nAnswer: -2e3c37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 17*i**4 + 6 - 320*i**2 - 2 + 318*i**2 as c + s*i**4 + m*i**3 + t*i + f*i**2 and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 16 = -4*x, 0 = 2*p + 3*x - 5*x + 8. Let j = -0.146 + 87.146. Let t = -92 + j. What is the smallest value in t, 0.01, p?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -0.5, 442?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 25*w - 31. Let z be o(13). Let q = 296 - z. Sort -5, q, 29, 1 in descending order.\nAnswer: 29, q, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 4) in base 7?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 34416 and 1848.\nAnswer: 2650032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-462)\/(-98) + (-6)\/(-21)*1. Solve n*z + 0*z - 15 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 4393698451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**(-7))**(-34)*(w\/w**(-2))**(4\/11) assuming w is positive.\nAnswer: w**(1882\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 449 a factor of 21103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -35348.084 - -35425. Let p = t + 0.084. Let v = p + -79. Which is the nearest to 1? (a) v (b) 1\/3 (c) -1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 3*q - 195 = s, 124 = 2*s - q. Suppose 0 = 5*l - 5*x - 415, 2*l + 2942*x - 167 = 2943*x. Calculate the highest common factor of s and l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 66216 and 131316?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-5\/6))\/r)**(-4\/19)*(r**8*r)\/(r*(r**(-13)\/r)\/r) assuming r is positive.\nAnswer: r**(1321\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 78819?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 0 (b) 0.1 (c) -2 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -157*z**5 - 2 + 150*z**5 + 2 + 12*z**2 wrt z.\nAnswer: -420*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -183 + 819. Suppose -3*h = k - 956, -k + i = 4*h - 2*h. Suppose -5*b - 5*n = -620, n - h = -5*b + 284. Calculate the highest common divisor of 60 and b.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 209 from -3128.44.\nAnswer: -3337.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000505125 to 7 dps.\nAnswer: 0.0000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02 + -564.\nAnswer: -563.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - 9. Suppose f*q + n - 19 = 0, n + 4 = q + 3. What is the remainder when q*38\/4*1 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 4) to base 12\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 33 - 147)*(-8 + 3 + 2) + 1 - 3 + 1)*(2 - 2*l - 2)*(-l + l - 2*l**2)*(4*l**2 - 2*l**2 + 0*l**2)*(-1 + 0 + 0).\nAnswer: -4240*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l\/l**(-1\/3))\/l)*l)**40*l\/(l\/l**(5\/6))*l*l**(3\/2) assuming l is positive.\nAnswer: l**70","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 106435346 (base 7) in base 16?\nAnswer: 63e64e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p = 5*y + 10*p + 4, 3*y = -2*p - 20. Sort -1, y, 0, 3 in descending order.\nAnswer: 3, 0, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7513219274?\nAnswer: 2, 11, 283, 1206749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a microgram in nanograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 351745*b**2. Let z(n) = -n. Calculate y(z(d)).\nAnswer: 351745*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5510.3 + 5511. Which is the second biggest value? (a) -5 (b) -2\/9 (c) -2 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1148783423 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 134 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y. Let s(t) = 6*t**2. Let i be s(-1). Let p(k) = 2*k - i*k - 5*k + 3*k. Calculate p(o(u)).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 706 or 708?\nAnswer: 708","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -5*w. Let j be 0*(2 - 5\/2). Let k(t) be the third derivative of 0*t**3 + 3*t**2 - 1\/8*t**4 + 0*t + j. Give c(k(p)).\nAnswer: 15*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 b when three letters picked without replacement from brrrbbbp?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -177\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/9 - 2303\/(-5733) - 4\/(-26).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -144231.8 to the nearest ten thousand.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/2)\/((-2)\/12). Let w = -5 - c. What is the units digit of 2 + 0 - (-2 - w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) + sqrt(104)*1)\/sqrt(8) - (3 + sqrt(39)\/sqrt(3))) + -4.\nAnswer: -7 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f - f + 8*f - 7*f - 631.\nAnswer: f - 631","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-11))\/((-12)\/71226). Let d = 1080 - j. Find the common denominator of -13\/3 and d.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29764939 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 4*j**2 + 5*j + 1. Suppose 3*t + y = -3, -t - 2*y = 2*t. Let u = t - -7. Let b be f(u). Put -4, 3, b in descending order.\nAnswer: 3, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/8, -0.124, -4\/3 in decreasing order.\nAnswer: 3\/8, -0.124, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 148265\/(-3) - (-6)\/9. Let f = w - -34021. Round f to the nearest 1000.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14 or -141378.9?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**(-2)\/h))\/h*h\/((h*h**1\/h)\/h))\/((h**(-3\/2)*h)\/h*h\/h**(-1\/2)*h)*(h**(-2\/5))**(-7)*(((h\/(h*h**(-2)*h))\/h)\/h)**(-42) assuming h is positive.\nAnswer: h**(239\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -549 - -553. Suppose 0 = 3*j - f*s - 12969, j - 4*s - 883 = 3432. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*g = -29*g + 5*m + 26, g - 3*m - 22 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 5\/3, -3, 2\/7, -5, 53 in descending order.\nAnswer: 53, 5\/3, 2\/7, -0.3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 936 and 364?\nAnswer: 6552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 - -21. Does 14 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 461\/39 and 11 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 56689 a multiple of 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1078677 and 5956173?\nAnswer: 136991979","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.02 in 0.1034, 23, 2\/11, -0.5?\nAnswer: 0.1034","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/13)\/q*q**(2\/5))**(16\/5) assuming q is positive.\nAnswer: q**(-784\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00150950757 to 6 decimal places.\nAnswer: 0.00151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = -4*x - 136656 + 136737, 5*x = p + 65 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -410*h - 34*h + 316*h - 347*h in the form v + u*h and give u.\nAnswer: -475","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -16496\nAnswer: -8248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 39*k**2 + 5 - 5 + 3*k**2 in the form x + t*k + j*k**2 and give j.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (3*sqrt(112) + sqrt(7) + sqrt(56)\/(3*sqrt(8) + sqrt(8)))**2.\nAnswer: 19647\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-9*p**3 - 14*p**3 + 12*p**3)*(-3 + 5 + 1) - p + p**3 + p)*(-4*p**2 + 2 - 2).\nAnswer: 128*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 301285 and 70?\nAnswer: 4217990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2010?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*t**3 + 27*t**3 - 36*t**3.\nAnswer: 9*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -796 - 2*b + 796.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/15 - 41924*b\/15 + 961078\/5.\nAnswer: 2*(b - 20893)*(b - 69)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 3, 24\/5, -7.\nAnswer: -7, 0.3, 3, 24\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-4) + 1\/(-2). Suppose 3*c - 5*c = -g + 8102, -3*g + 2*c + 24302 = v. What is g rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*o = 36*o + 11 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = 60*g - 62*g + 6, 47 = 4*g + 3*p for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f + 26*f**2 + 47*f**2 - 1 + 0*f.\nAnswer: 73*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46 and 25898.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1353*r**2 - 1324*r**2 + 2663*r**2.\nAnswer: -14*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-12)\/18)\/(2\/(-6)))\/8.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oougxocvvovvcuu. What is prob of sequence xv?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 10230 (base 4) to base 16\nAnswer: 12c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -s + 82. What are the prime factors of s?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 860 = -144. Solve -m*f - 2 = -181*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1422 and 0.38.\nAnswer: -540.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(-14 + (-780)\/(-100)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 4 + -9 + 7 + -7 + 2\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11196 and 10224.\nAnswer: 3179664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/57 and -29\/21.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + 22*o**2 - 7*o - 51. Let r be p(-22). Let q = 70 - r. Let c = 1 - q. Is 7 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 216330 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141 = 63*x - 1119. What is the highest common divisor of 395 and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**2 + 2260*o + 4540.\nAnswer: -5*(o - 454)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 5 - -16 - (-6 - (25 + -43))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oxox when four letters picked without replacement from xoxxoxxxoxooo.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1590.5845 rounded to the nearest 10?\nAnswer: -1590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v**2. Let f(h) = -6*h**2 + 1201*h. Determine f(u(b)).\nAnswer: -24*b**4 + 2402*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (10127\/(-117) + -6)\/(((-2)\/(-3))\/(-1)). Which is smaller: q or 138?\nAnswer: 138","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/3*144\/(-12). Let b = -6 - 0. What is the units digit of (o\/6)\/(1\/b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2*j**3 - 5)*(-3*j + 0 + 0) + (0*j - j + 3*j)*(-3*j**3 - j**3 + 5*j**3).\nAnswer: 8*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 1) + 25 + -23 + -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of y**8\/336 - y**7\/70 + y**6\/60 + y**5\/30 - y**4\/8 + y**3\/6 + 9*y**2. Determine m, given that f(m) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = 6 - 11 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-560)\/1200)\/((-14)\/6)*24\/6.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 383890156?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 5*v + 5*s + 162, -3*v = -s + 104. List the prime factors of 897\/2 - (-17)\/v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21764507 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 - y - 26. Let t be o(0). Let c = t + 61. Let w = -14 + c. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i + 2 + 4 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 102575806 - 4?\nAnswer: 102575802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, m: 4, a: 3, c: 1, z: 5}. Give prob of sequence azzz.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3240 = 877298*b - 877118*b for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2897*x**2 + 0*x - 188*x**3 - 2897*x**2 + 0*x.\nAnswer: -188*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 41 in -0.5, -0.2, -1, -3\/17?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10816980?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 - 4*n + 15. Let a be z(-5). Let y(v) = 24*v**2 - v - 1. Let k be y(-1). What is the greatest common factor of a and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (51 - (40 - -44)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*i**3 - 8*i**3 - 4*i**3)*(-41*i + 100*i + 41*i)*(0 + 2 - 4) as s*i**4 + y*i**2 + u*i**3 + a + l*i and give s.\nAnswer: 3600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33\/8 + 13\/8. Let a = -3536.69 + 3536.29. Suppose m = -3*m. What is the second smallest value in 5, m, a, h?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 - -0.3. Let o = 1.42 + -10.42. Put q, -3, o in descending order.\nAnswer: q, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - 2*f**2 - 3*f - 1. Suppose 5*r = -c - 54, -3*c + 46 = -5*r - 2*c. Let l be 3 - 4 - r\/2. Calculate the remainder when 36 is divided by k(l).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12409188 by -33.\nAnswer: -376036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 - 8 + 3)*(2 - 2 + o + (1 - 2*o - 1)*(3 - 4 - 1)) + 2*o - o - 3*o + (4 - 4 - o)*(5 - 3 - 1).\nAnswer: -93*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 4806?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 11 + 8*c**2 - 28*c + 7*c**3 - 3*c**3 + 5 = 0. What is c?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l + 10. Suppose -12 = -r - 4*g + 3, -5*g = 5*r - 45. Let v be k(r). Suppose c = 5*s + 5*c + 10, v*s = -5*c - 19. Solve 0*h - s*h = 8 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3444, -27577, -93076, -220623, -430900, -744589, -1182372, -1764931?\n\"Answer: -3447*l**3 - l**2 - l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0215437 to four dps.\nAnswer: 0.0215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.053 and 279?\nAnswer: -14.787","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 7*d**2 - 7*d + 5. Let c be j(6). Let g be 9\/(-12) + 9\/(-4). Let r be -1*(g + 2)*c. Which is smaller: r or 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -229*b + 7227. Calculate d(33).\nAnswer: -330","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13543 at most -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a micrometer in nanometers?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18162888 by 5.\nAnswer: -18162888\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 7*w**2 + 21*w - 13. Does 16 divide x(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -13*l**3 + 10*l - 2 - 6*l**2 + 4*l**3 + 8*l**3 - 3*l. What is i(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -10. Let r = u + 4. Let o = 5.1 + -1.1. Sort -6, r, o in descending order.\nAnswer: o, r, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*y + 3*y - 4*y + (-3 - 1 + 3)*(-19*y - 40*y + 122*y) in the form v + u*y and give u.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (365 + -369)*((-2)\/8)\/(-1). Is p at most -4\/1229?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 0 + 3*m**3 - 4 as g*m**2 + j*m + i*m**3 + q and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5 + -3)\/((-3)\/(-9)). Solve 3*k - 12 = h*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1815?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7102 or 1283\/3?\nAnswer: 1283\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 p when three letters picked without replacement from {f: 3, k: 3, p: 2}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 t when two letters picked without replacement from {n: 3, t: 4, k: 4}?\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + 1)\/((-2698)\/(-418)). Which is smaller: 0 or n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (33\/(-4))\/(-3) - 4\/(-16). Let x be (-1)\/t - 395996\/12. Round x to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(272) + 0 - ((sqrt(102)*2)\/sqrt(6) + (sqrt(17) - (sqrt(153)\/sqrt(81) + sqrt(17) + sqrt(17)))) - (-3 + (-1*sqrt(612) - sqrt(612))**2*-2*3).\nAnswer: -14*sqrt(17)\/3 + 14691","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6733751 is divided by 376?\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*m**4 - 6*m**3 - 694*m**2 + 19722.\nAnswer: -8*m**3 - 18*m**2 - 1388*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91914 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 + 3*p**2 - 4*p. Let x be b(-4). Let c = x - -9. Suppose -w = -4*i + c, 9*i + 2*w = 4*i + 21. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8624016433?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = 4*a + 24. Let w = 20 - a. Let f(g) = -4*g - 2 + 5*g**2 + g**3 + w - 5. Calculate f(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of 97*h**6\/20 + h**5\/60 - 323*h**4\/8 - 1884*h**2. Find the second derivative of r(j) wrt j.\nAnswer: 3492*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5076 divided by -9?\nAnswer: 564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 1 - 7 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 171068?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4889518?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = h - 4*h. What is the units digit of 4*h\/6 + 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of -5*s**3 - 69*s**2\/2 - 36*s + 739. Factor m(x).\nAnswer: -3*(x + 4)*(5*x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + -1 - 132\/(-369). Let s be ((-76)\/(-4) + -20)\/(-43 + 2). Let q = x - s. What is the smallest value in -0.4, -0.2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -1, 0.1, -0.042, -2?\nAnswer: -0.042","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/15, -11\/4, -109, 0?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 - 4*r + 5. Give i(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -28 divided by 1188\nAnswer: -7\/297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(5\/(-3)))\/((-2)\/10). Let g(m) = -m**3 - m**2 + 5*m. Let c be g(n). Solve 2*q - c = 4*l + 1, q + 2 = -2*l for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (190 - 190 + 2*d)*(-6 + 6 + 28) - d - 2*d + 4*d.\nAnswer: 57*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(2\/3)\/r**(-1\/4)*(r**0)**(-7)*r**(-6)\/r*r*(r\/(r*r*((r*r**(-4))\/r)\/r))\/r*(r**0)**(-1\/15) assuming r is positive.\nAnswer: r**(-25\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (15\/(-25))\/((-2)\/(-10)). Is (-11)\/((-706)\/(-118) + z + -3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-5*(sqrt(1900) - (sqrt(1900) + 3)) + (sqrt(1900) + sqrt(1900) + 1 + -1 - sqrt(1900) - (-1 + sqrt(1900))*6))**2*3.\nAnswer: 11700*sqrt(19) + 147063","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -687*g + 5*d + 95655 = -684*g, -5*d + 159345 = 5*g. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 984939 divided by -328313\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 4*v - 1 = 0, -9 + 34 = l + 5*v for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8939045 less than 1.2?\nAnswer: -8939043.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 125 + 15. Let v = l - -27. Let h be (-52)\/(-39)*(2 - v). Solve w - 25 = -h*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1434 + -10001?\nAnswer: -3012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4357 - 174*y**2 - 4357.\nAnswer: -174*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 19, 25, 33?\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.438898l in millilitres?\nAnswer: 3438.898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 26*(6\/(-20))\/(627\/1045)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c - 4. Let k be o(6). Suppose -4*y + 5214 = -k*n, n - 1294 = 4*y - 6509. Suppose -5*s + 9*s = y. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 3)*(q**2 - q**2 + q**2)*(3 + 11 + 4*q - 17).\nAnswer: -4*q**3 + 3*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54\/72 + 1\/(-3)*0?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 0 + -1 + -3 + (212 + -328 - -58)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a milligram in micrograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -1929*g + 2. Let w(r) = 3860*r - 4. Calculate 5*l(h) + 2*w(h).\nAnswer: -1925*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 12:08 PM?\nAnswer: 9:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of 557*s**4\/4 + 2437*s**3\/3 - 2*s - 57. Find the third derivative of k(g) wrt g.\nAnswer: 3342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k + 1. Let s be -2 - (-3)\/(9\/6). Suppose -q + s*q = 0. Let p be a(q). Solve 11 = 2*n + p for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*m - 4*m + 117 - 92)*(3*m + 2*m**2 - 3*m).\nAnswer: 4*m**3 + 50*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 261 - 999 = -3*x. Let d = -133 + x. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 140283468 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r**2 - 2*r**2 + r**3 + (-38*r + 12*r + 12*r)*(2*r**2 + 3*r**2 + 2*r**2) + 8*r**3 - 4*r + 4*r as v*r**2 + j*r + g + l*r**3 and give l.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, t: 1, s: 3, g: 4, m: 7}. What is prob of picking 2 s?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 77*z - 202. Let t be u(-9). Find the common denominator of -7 - 3\/(540\/t) and -43\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14518 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1006803139?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, z: 12}. Give prob of picking 1 r and 3 z.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.3 + -18.3. Let k = c - -15.00037. Round k to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 383.63696 to 1 dp.\nAnswer: 383.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 2609096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + a**2. Let n be x(-1). Let g(l) = 0*l + 7*l + 0*l**n + 4 + 2*l**2. What is the units digit of g(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from koookooo. Give prob of sequence kkkk.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(162))**2*3.\nAnswer: 54*sqrt(2) + 489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 5. Suppose -10 = d - 6*d. Let b = d - 0. Sort b, -5, p in increasing order.\nAnswer: -5, b, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.028523 - 0.35424.\nAnswer: -0.382763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 101 + -87. Suppose 0 = 3*w - 5*b - 12, -4*b - o = -w + 3*w. Is -1 equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 46 = -59. Let t be 12\/m - 32\/7. Which is the third biggest value? (a) 2 (b) t (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4}. What is prob of sequence gg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = 4*c - 3*a, c = 3*a - 1 - 4. Let k = -51 - -48. Calculate the remainder when 34 is divided by (90\/c)\/(k\/8).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1211?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 219388 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a**3*h**2*n**2 - 23*a**3*n**3 + 2*a**2*h*n**3 + 2*a**2*n + 95*a*h*n**3 + h**2*n**3 wrt a.\nAnswer: -6*h**2*n**2 - 138*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1068036\/7 - 152839. Let k = 263 + r. Which is the nearest to -3? (a) -2\/17 (b) -5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 0. Let i = 192 + -187. Which is bigger: o or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15\/274 - -409\/2466. Let r be 1\/2 + (-65)\/10. Sort i, -2, r in descending order.\nAnswer: i, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-1425*v - 4 + 719*v + 715*v)*(-v**2 + 5*v**2 - 2*v**2).\nAnswer: 18*v**3 - 8*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 - 42. Calculate the common denominator of (-12 - 0)*m\/135 and -46\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*g**2 + 6*g**2 + 11*g + 0*g**2 wrt g?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 + -1 + 16 + -54?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 277*p - 265*p + 3*y - 48 = 0, 2 = 2*p - y for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of u**7\/210 + 169*u**6\/120 - 149*u**3\/2 + 299*u**2. Differentiate x(i) wrt i.\nAnswer: 4*i**3 + 507*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/214588 and 83\/829090.\nAnswer: 18239980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 82*y - 30*y + 57*y - 12*y to the form r*y + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 37 = -11. Let p = 2537 - 2540. Find the common denominator of -47\/22 and p*(190\/c - (0 - -1)).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 + 278. Suppose 0 = 4*b + q + 548, -2*b + 5*q - 31 = 265. Let j = y + b. What are the prime factors of j?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 6:24 PM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 - 30*m**2 + 36*m + 58. Let b be o(-31). List the prime factors of (-5)\/2*(40\/(-8) + b).\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2759*o + 270503. Give l(-98).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 25498, 25501, 25506, 25513, 25522, 25533?\n\"Answer: i**2 + 25497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3232, -3233, -3234, -3235?\nAnswer: -3236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 - 4*f - 6. Let b be c(6). Let u(k) = 2 + 0*k**2 - b + 5*k - k**2 - 3. Calculate u(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of j**3\/6 - 507*j**2 + 514098*j + 3059. Determine q, given that d(q) = 0.\nAnswer: 1014","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 0.1\nAnswer: -0.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, j: 2, e: 5, h: 2, y: 5, i: 2}. What is prob of picking 2 h?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 4*i - 43, -5*i + 58*o + 100 = 55*o. Solve 4*f - 3*f + 9 = 3*d, 5*d = f + i for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 815?\nAnswer: 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 10:13 PM?\nAnswer: 6:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 15) to base 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*b + 9 + 2 = 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 AM and 11:39 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1844 + -789. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + 23*n**2 - 175*n - 27. Let c be q(-29). Solve 0 = d - 22*h + 24*h - 8, 5*d - 16 = -c*h for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 - -21. Let r = -2 + 4. Factor -r*g**2 + g**3 + g**3 + n*g**2 + g**5 + 3*g**4 - 3*g - 1.\nAnswer: (g - 1)*(g + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = 2*j + 5, j - 101 + 143 = 4*j - 15*g for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -329170 to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.1 + 5.1. Which is the second smallest value? (a) -1\/5 (b) -2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1 + sqrt(2) + sqrt(32) + 0 + (-4 + sqrt(2)*2 - (sqrt(162) - (sqrt(162) + -2 + sqrt(162)))).\nAnswer: -2 + 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/602, 0, -1, 74, 3 in decreasing order.\nAnswer: 74, 3, 1\/602, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, b: 5, y: 1, z: 1, r: 4}. What is prob of picking 1 v and 1 y?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 47\/(-705) - (-4204)\/60. Calculate the greatest common factor of p and 910.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -45 + 48. Suppose -5*u + 2*o + 15 = 0, o = -2*u + p*u - 3. Find the first derivative of -4*g**u + 6 + 910*g - 910*g wrt g.\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.18644 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((-2*sqrt(88))\/sqrt(8) - sqrt(11)) + -3*sqrt(11)*2)*-6)**2 - (sqrt(396) + 5 + sqrt(396) + (sqrt(11) - ((5 + sqrt(275))**2 - sqrt(11))))) + 3.\nAnswer: 36*sqrt(11) + 32374","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2027\/5 - 405. What is the nearest to d in -11, 4\/5, 5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001884123 to seven dps.\nAnswer: 0.0001884","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2069789301?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/324 and 68\/6711?\nAnswer: 724788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 7 = -p, z + 20 = -4*z. Suppose -27*t = -12*t - 150. Is 1*t*(p - (0 + -10)) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1384*l - 71799 = 457*l for l.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 12*v = -112. Sort 3, -4, -3, v.\nAnswer: v, -4, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**2)\/x)**(5\/11)*(x*(x*x**(-2)*x)\/x)**1)\/((x\/(x\/(x**(-1\/15)*x)))\/(x**(-12)*x))**18 assuming x is positive.\nAnswer: x**(-11764\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 139942 and 176.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 50\/30 + -1*1. Which is smaller: 17 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.13 + 2.3. Let v = b - 0.57. Sort 2, v, -4.\nAnswer: -4, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (531\/(-59))\/(4\/8).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*s**3 - 3*s**3 + 3*s**3 + (-2 + 2 + 2*s**3)*(534 + 376 - 6 + (3 - 3 - 2)*(1 - 2 - 1)).\nAnswer: 1811*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.2834857 millilitres?\nAnswer: 0.0002834857","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 585 = 3*a. Suppose -336 = -a*b + 93*b. Which is greater: b or 8?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*k + 192 = k + 736 for k.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - s**2 + s + 4. Let o(j) = 28*j**3 - 4*j**2 - j + 13. Determine -o(r) + 4*u(r).\nAnswer: -24*r**3 + 5*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 19244 and -35.1.\nAnswer: -675464.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160 - 10 = -5*u. Let r = 13 + -8. Suppose 0 = 3*w + 5*z - u, -z = 4*z + r. Calculate the remainder when w is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -38 - l**4 + 3*l**4 + 37 + l - l + l**4 - 3*l**4 + 0*l**4 + 0*l**4 + (-4*l - l + 4*l)*(-4*l**3 + 5*l**3 + 2*l**3).\nAnswer: -3*l**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16551 is divided by 23?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**(1\/3))\/c)\/(c\/c**(-11)*c))\/(c\/c**(-2\/5))**(-2\/9) assuming c is positive.\nAnswer: c**(-586\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 7*m = 100. Let l = m + 19. Let z be (2 + -3 + (-4)\/(-4))*l. Is z <= -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/15 + (-348)\/10. Calculate the remainder when 49 is divided by -5*1*119\/u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70842 and 1338?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -3*q + 193866, b - 12194 = 2*q + 52401. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*31239.\nAnswer: 187434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 + (-15)\/(-12))\/((-10)\/(-25)). Are d and 11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -1427\nAnswer: 5\/1427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (9*2\/54*0)\/((-7)\/1). Solve q = -48*j - 84 - 108 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 959*m**3 + 49*m**2 - 49*m + 49. Let u(y) = 96*y**3 + 5*y**2 - 5*y + 5. Calculate 5*h(j) - 49*u(j).\nAnswer: 91*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 100322100 (base 4) in base 12?\nAnswer: 34100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39, -49, -63, -81, -103, -129?\nAnswer: -159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107 - 1708 = -16*z + 463. Suppose 6*t - 8 = 5*t. What is the remainder when z is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 884 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -603 = 22*g - 82 - 37 for g.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x**2 + 8*x**2 + x**2 - 1 + 0*x**2. Let i be b(-1). Suppose -26 = -i*t + 58. Calculate the highest common divisor of t and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 756651 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + 77*m**2 - 112*m - 406. Is a(-78) a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16140 (base 7) in base 14?\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 5:18 PM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -3*v + 18. Let j be (-10 - (16 + -38)) + -9. Suppose -c + v = 2*d, -j*c = -5*d + 3*d - 42. What is the smallest common multiple of 3 and c?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 3, 1.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 104, 2, 3 in descending order.\nAnswer: 104, 5, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218714 is divided by 1257?\nAnswer: 1253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 1799 = -4*k, -5*k + d = -4*d - 2275. List the prime factors of -3*(0 + k\/(-12)).\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15485461 to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.9 + 0.8. What is the closest to -1 in d, 3, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/49, 93540, -12?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*j**3 + 1 - 25*j**2 + 25*j**2 - 3*j to w*j**2 + l*j + f + u*j**3 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -363 - -429. Suppose f = 11*b + 22. Solve 3*i + a + 17 = 0, -2*a + 7 - 1 = -b*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 73, -2\/9, -0.087?\nAnswer: 73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -g - l, 5*g - l + 15 + 9 = 0. Let r(p) = -3*p**2 + 8*p - 4. Let z(d) = -2*d**2 + 4*d - 2. Give g*z(o) + 3*r(o).\nAnswer: o**2 + 4*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -4655*n**2 + 9920*n + 4. Let a(x) = 4639*x**2 - 9921*x - 5. Let q(w) = -4*a(w) - 5*o(w). Find the second derivative of q(z) wrt z.\nAnswer: 9438","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -31 - 510?\nAnswer: -541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*k**2\/9 - 1881820*k\/9 - 268832\/9 = 0 for k.\nAnswer: -1\/7, 67208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -123, -1, -2, -9, 62 in increasing order.\nAnswer: -123, -9, -2, -1, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 4*b + 13. Let v be x(-6). Let g = v - -13. Sort g, 5, 0.\nAnswer: 0, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxzxzxzxxzzzxxzzzxz. Give prob of picking 2 x and 2 z.\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -21*k + 171. Let i be l(8). Factor u**2 + 0*u + 0 - 1\/2*u**i - 1\/2*u**4.\nAnswer: -u**2*(u - 1)*(u + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/((3\/9)\/(298\/6)). Let y = m + -37. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6176911 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -3*b**3 + 5*b**2 + b + 5. Let o(y) = 2*y**3 - 2*y**2 - 2. Suppose -17 = t - 19. Calculate t*p(k) + 5*o(k).\nAnswer: 4*k**3 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*k + 4*k + 6*k)*(-538*k**3 - 485*k**3 - 1609*k**3) in the form b*k**3 + r*k**4 + u*k + s + g*k**2 and give r.\nAnswer: -13160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 27?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36 + 35. Let p = 3 + -2.8. Which is the closest to r? (a) 2\/21 (b) -2\/7 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 12 - 2*d - 28 + 12 + 4. Let l(f) = 17*f. What is l(g(w))?\nAnswer: -34*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 90.27973 nanometers?\nAnswer: 0.000009027973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 88271\/25380 - 759\/188. Find the common denominator of s and -121\/384.\nAnswer: 17280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1290 - -1286.99992. Let f = -1 + -2. Let v = t - f. Round v to 5 dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*p + 5*u, 9 = -p + 5*u - 8*u. Suppose -b + 3*y + 6 = p, 46 = 3*b + 5*y - 0*y. Is b <= -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 507249929 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 6, i: 4, o: 2, j: 1}. What is prob of picking 3 y?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -6, -1\/7, -1.22?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 24.1 (b) 7 (c) -0.6 (d) 3\/680\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143 is divided by 128.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -890 + 887. Let q = 0.059 + -0.559. What is the closest to -16 in 2, d, q?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.0812 (b) 0.5 (c) 1448 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 = 4*c + 2*h, -4*c + 0*h = -5*h - 92. Suppose -3*s = -6 - 12. Calculate the remainder when c is divided by s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*k - 97*h - 1296 = -51*h - 44*h, -5*h = 5*k - 180 for k.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of 0*l**5 + 0 + 0*l + 0*l**6 - 3*l**3 + 0*l**4 - 40*l**2 - 32\/105*l**7. Differentiate o(v) wrt v.\nAnswer: -256*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7967751.\nAnswer: 3, 11, 83, 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**3)\/a)\/(a\/(a\/(a\/(a*(a**(-1\/6)*a)\/a))))*a**(-4)*a*a**(1\/7) assuming a is positive.\nAnswer: a**(-1\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2373094 - -137094. What is q rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9139*q**2 - 7159788*q + 7159788*q)*(3 + 3 - 4)*(-1 + 2*q + 1) to i*q + r*q**3 + u + o*q**2 and give r.\nAnswer: 36556","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**11)**(-3\/7) assuming r is positive.\nAnswer: r**(-33\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**3 - i**3 - 3*i**3 + (0*i + 0*i - 2*i**2)*(1 + i - 1) + 18*i**3 - 9*i**3 - 93*i**3 + (0 + 0 - 2*i**2)*(2 - 2*i - 2) + 4*i**3 + 3*i**3 - 5*i**3.\nAnswer: -83*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/(-120)*-2*(74 + -79). Let 0 - 3\/4*p**3 - 1\/4*p**2 + 1\/4*p**4 + x*p = 0. Calculate p.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 1\/2872?\nAnswer: 1\/2872","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.6827 times 99?\nAnswer: 661.5873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 17 = -5*j, -5 - 1 = 3*j + 3*g. Let p be 0\/((j + 5)\/1). Solve 2*n = -6 - p for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4996 = -5*m + 38769. Let z = m - 933. Suppose -l + 3*q + 0*q = -2588, -5*q + z = 3*l. What is l rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of 0 + 3*o - 5\/18*o**4 - 1\/10*o**5 - 1\/9*o**3 + 1\/3*o**2. Factor k(g).\nAnswer: -2*(g + 1)**2*(3*g - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -164017*a**3 - 2217 + 4432 - 2215.\nAnswer: -164017*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-29337)\/(-6985)*(-10)\/(-18))\/((-1)\/2*-7)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 29540*c - 915642. What is q(31)?\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 less than -86.0791?\nAnswer: -85.4791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 235338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2706 = 2*v + h, 4072 = 3*v - h - 4*h. Let t = -955 + v. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-42)*-4*(-6)\/450*-105?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(4 - 14\/4). Let x be (-4)\/10*(f - -18 - 1). What is the units digit of (-386)\/(-4) + (-3)\/x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.38 and 23?\nAnswer: 23.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 - v**2 + 2*v - 3. Let n be h(2). Let l be (-1)\/(-2)*(-1 + n). Sort l, 3, 1 in descending order.\nAnswer: 3, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1709.9 + 1869. Let s = 169.94 - 2.94. Let j = s - f. What is j rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/64 and 29\/16.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 1157830 - 1157818 = -2*p, -3*f - 23*p = 89 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = 16*l - 14*l + 2, -4*h = 2*l + 2 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o + 8. Let a be k(0). Let w = -35 - -33. Let m be (w + 5)\/(-3)*-3. Put 0, a, m in descending order.\nAnswer: a, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -81 + 94. Does 13 = d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, s: 2, j: 2}. Give prob of sequence jss.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22751 is divided by 22721?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/5962174 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.18 - 125?\nAnswer: -124.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/24 + (4 - (-55985)\/2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-24))\/((-155)\/(-1860)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + 1)\/(0 + 2). Let z(v) = v + 14. Let o be z(-10). Calculate the remainder when 24\/o - (x + -3) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**3\/5 - 505*v**2 + 216634*v\/5 + 88672 = 0. Calculate v.\nAnswer: -2608, -2, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 1869680.\nAnswer: -1\/373936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 PM and 10:47 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/(sqrt(22)\/sqrt(11)) - sqrt(3240))\/(-4*sqrt(50)\/(sqrt(10)*3)*2).\nAnswer: 51*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*i - 4*v = 52*i + 44, 0 = 12*i + 4*v + 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4877072041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w + 137*w + 135 = 3710 for w.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 292.\nAnswer: 5\/292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 2, 5, 11 in descending order.\nAnswer: 11, 5, 2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-7 - -21) - 4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4034866 minutes to microseconds.\nAnswer: 24209196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36*t**4 - t**3 + 342*t**2 wrt t?\nAnswer: -864*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + -11. Let l be (-30)\/m + 2\/(-6). Suppose l*p = 4*f - 85, -5*p = -5*f + 82 + 28. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/22082485 and -53\/174.\nAnswer: 132494910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3072) + 1 + 1)*-1 + -6*(sqrt(3072) + ((sqrt(3072) + 2)*4)**2) + 2.\nAnswer: -295296 - 12512*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2. Let k(o) = -17*o**2 + 4*o - 4. Let z(c) = -c + 1. Let q(d) = -3*k(d) - 12*z(d). Determine q(s(t)).\nAnswer: 51*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -0.03, 0.3, -0.3, -3 in ascending order.\nAnswer: -3, -0.3, -0.03, 0.3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 648225 divided by -129645\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 12*b**2 + 6*b**2 - 11*b**2. What is u(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + 7*m**2 + 5*m - 8. Let p be c(-6). Let g be 15*(-3)\/(1 + -10). Put 4, p, g in increasing order.\nAnswer: p, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -98574, -98579, -98584, -98589, -98594?\n\"Answer: -5*k - 98569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 282 + -610. Let u = c - -732. Suppose 0 = -2*q + 2*g + u, -5*q - 3*g = g - 1019. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q**4 + 2016*q**3 - 49020*q**2 - 883728*q = 0. Calculate q.\nAnswer: -12, 0, 38, 646","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 13*l**2 - 10. Let w = 150 + -152. Let b be x(w). Calculate the greatest common factor of b and 714.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 21155178 to the nearest 100000.\nAnswer: 21200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of 10*z + 5\/2*z**2 + 0 - 1\/2*z**3. Let y be s(0). Solve h + 12 = y*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 4:29 PM?\nAnswer: 12:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 289*m**2 + 3*m + 63.\nAnswer: 578*m + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -792197 divided by -137\nAnswer: 792197\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.2, 0.4, 64.02?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2029466?\nAnswer: 2, 19, 53407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1188381643?\nAnswer: 2237, 531239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aeaaeaaaaaaaa. Give prob of picking 1 e and 2 a.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 3. Suppose 0*q - 3*q - 3*h + 93 = 0, -5 = -5*h. Suppose -6*n + 0*n = -q. What is the remainder when n is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 4. Let w = -240.8 - -241.3. What is the biggest value in w, q, -2\/13?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 8 = 4*l, 5*l - 68 = -4*i. Let m = i - 7. Solve k + m*p = 9, -2*k = 2*k - 2*p + 8 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.63809 less than 3.306?\nAnswer: 2.66791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - 1)\/(4\/(-24)). What is the first derivative of 1 + 3 + 3 - 3*g - s wrt g?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4593, 0.3, -1 in descending order.\nAnswer: 0.3, -1, -4593","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 1394*k + 135368. What is g(-97)?\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cbucbucdlllluuul. What is prob of sequence bdbl?\nAnswer: 1\/4368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34622781?\nAnswer: 3, 29, 397963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833) + sqrt(833) + -5 + sqrt(833) + (sqrt(17) - sqrt(17)*-2)*1)**2.\nAnswer: -240*sqrt(17) + 9817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of 3*f**4\/8 - f**2\/2 - 5*f. Let k(l) be the first derivative of o(l). Let g(c) = c**2. Calculate g(k(n)).\nAnswer: 81*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = 8*b. Solve 23 = -2*c + 2*v + 3, b = -3*c + 2*v - 25 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 + 3)*(-u**2 + 5*u**2 + 9*u**2)*(-20 - 5*u + 24 + 2*u) in the form l*u**2 + i + q*u + b*u**3 and give l.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 2 = 3*h, 7*h - 8*h - 5*j + 26 = 0 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -921\/20 - -173\/4. Let h = -16\/5 - x. Let r = 0.8 + -4.8. Put h, 1, r in descending order.\nAnswer: 1, h, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2119 + 2264. Let t be 286\/10 - (-8)\/20. What is the greatest common factor of t and m?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5303812 is divided by 11786?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of 5*t**4 - 1188. Let k(i) = 5*i**3. Suppose 1 = -c - 14. What is c*k(s) + 4*f(s)?\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -10 - 1c?\nAnswer: -2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 12:32 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 - ((-5199)\/753 - -3). Let w = h + 8680\/6777. Find the common denominator of w and 36\/7.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2726373 is divided by 139.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in 33\/32, -4, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 9.36 (b) -5 (c) -3 (d) 2\/25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4299, -8589, -12867, -17127, -21363, -25569?\n\"Answer: x**3 - 4297*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k. Let p(y) = 186*y**2 - 28*y. Let g be (-2)\/(296\/56 - 5). Let x(j) = 124*j**2 - 20*j. Let m(u) = g*x(u) + 5*p(u). Determine m(o(h)).\nAnswer: 62*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/1196, 0.186, 3, 1\/2, 1.7?\nAnswer: -1\/1196","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 126*y - 716. Let z be u(51). Calculate the highest common factor of 10 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -89*z**6\/3 - 5*z**4\/4 - 458*z**3 - 650. What is the third derivative of p(f) wrt f?\nAnswer: -10680*f**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17342389?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-10)\/15)\/((-2)\/6). Which is smaller: g or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -106029944, -106029945, -106029946, -106029947?\n\"Answer: -z - 106029943","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*r - 32. Calculate the least common multiple of 6 and r.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 0*h - 69. Let a = 376 - h. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 17 = -6*p. What is the units digit of (-3)\/(-6)*p - (0 + -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-20)\/(-6) - (-14 + 16). Suppose -2*w + 4\/3*w**2 - f = 0. Calculate w.\nAnswer: -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27 + 196*o - 8 - 193*o + (2 + 4 - 5)*(-o + 0*o + 2*o).\nAnswer: 4*o + 19","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -995, -3719, -8161, -14315, -22175, -31735, -42989, -55931?\n\"Answer: d**3 - 865*d**2 - 136*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6321677 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*r - 4*r - 5*r + (1 + 1 - 4)*(-3*r + 7*r - 2*r) in the form y*r + l and give y.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 0, 0 - 15 = -5*h - 5*p. Let n(z) = 2*z - 4. Let o be n(h). Solve -o = -3*a + 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -3*i - 3. What is the least common multiple of j(-7) and (3\/2 - 1)*24?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14 by -57545.\nAnswer: 14\/57545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 6. Let a(r) = 18*r - 2. Is 17 a factor of a(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-8))\/(a\/(a**(2\/23)*a*a)) assuming a is positive.\nAnswer: a**(232\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*b + 3*b + 3*b - 6*b**2.\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (0 - 2 - -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -3) + 93 - (22 + 180\/126*-7).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 22 - 7. Let a be 2 - 192\/(n - 0). What is the tens digit of (-4 - a) + 1 + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3131?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 - 118 = -4*c. Suppose s = -3*z + 56, -15 - 21 = -3*z + 3*s. Calculate the remainder when c is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 4*p + 67. Let i be m(-16). Let r be ((-4)\/(-4))\/((-1)\/6). Put -1, i, r in descending order.\nAnswer: i, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 3, 2, 5 in ascending order.\nAnswer: -9, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 2, 0.1, 0.05 in increasing order.\nAnswer: 0.05, 0.1, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*c - 2*c. Solve -4*p + 3*p + 1 = c for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 150207566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + 77*a**2 + 215*a - 22049. Determine x(76).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 + 13*c + 15. Let x be f(-12). Suppose 2*k - 23 = -4*d - 5, x = 4*d - k. Suppose -148 = -2*l - d*l. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3120.65014 rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 - 5. Let x be s(0). Let l = x + 22. Let p = 24 - l. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3574 + -10708. What is c rounded to the nearest 1000?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002000005 rounded to 7 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 2\/15 (c) 0.4 (d) -4 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 580?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 5181, 2\/13, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 7 - 22 = 0. Suppose x - 10 = -z. Suppose 1\/2*j**4 + 0*j + 1\/2*j**x + 0 - 1\/2*j**2 - 1\/2*j**3 = 0. Calculate j.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**2 - 2 + 2 + (-324 - 28 - 499)*(-6*c + 1 + 6*c + 3*c**2).\nAnswer: -2554*c**2 - 851","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 255.13375 + 0.06625. What is y rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -768*d**5 - 3488*d**4 - 4011*d**3 - 5685*d**2\/4 - 134*d - 15\/4 = 0?\nAnswer: -3, -1, -5\/12, -1\/16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, e: 18}. Give prob of sequence eei.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 + 5 = 4*c. Let n(d) = -d**3 - 5*d**2 - d + 6. Determine n(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 19368603 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 7*h - 1 - 3 - 6*h + 3*h**2 - 2*h**2. Calculate the lowest common multiple of 7 and m(-4).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 199153 is divided by 22122.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 90944 and 84.\nAnswer: 272832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22030 - 22026. Solve -114 + 110 = l*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 + (0 - (17 + -17)) - 8\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0532331 to 4 decimal places.\nAnswer: 0.0532","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -5*b + 25. Let u(j) = 4*j - 22. Let g(w) = 6*u(w) + 5*y(w). Determine g(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - 0)\/((-7 - 0) + 8). Solve -w = c + 2 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -107250 (base 10) to base 13\nAnswer: -39a80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**2 + 361 - 361.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1885*b**3*c**4*d + 758*b**3*c**2 + 22*b**3 + b**2*d + 14*b*c**4 - b*c**2 wrt c.\nAnswer: 45240*b**3*c*d + 336*b*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ms when two letters picked without replacement from xgwxxlmsswmwwl.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -f5204 (base 16) to base 10.\nAnswer: -1004036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1322210 - 1105?\nAnswer: -1323315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = y - 3*c, 2*y - 7*y + 5*c + 145 = 0. Let h be (-7)\/21 + y\/3. Let i(s) = -s**2 - 4*s - 2. Let d(l) = -5*l**2 - 21*l - 11. Give h*i(z) - 2*d(z).\nAnswer: -z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -13*u - 34. Let l = 0.01 - -2.99. Let z = -1381\/7 - -197. Which is the closest to z? (a) 2 (b) u (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6888 and 2583?\nAnswer: 20664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 2:41 AM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101 + 1111101100110101?\nAnswer: 1111101100101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 25\/4 of a millisecond?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81408452 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2 - ((-9 - 1) + 20) - -13 - -9\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bkbdhsssbbb. What is prob of picking 1 d and 1 s?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/2*320\/30. Let u(x) = 24 + 9 + y*x - 3 - 15*x. Does 11 divide u(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 c, and 1 u when three letters picked without replacement from {c: 6, b: 2, z: 5, s: 1, u: 1}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 112*k**2*o*t - k**2*t + 735272*k**2 - 1208*k*o**2 - o**2*t wrt o?\nAnswer: 112*k**2*t - 2416*k*o - 2*o*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(14) - sqrt(14)*-2) + sqrt(14))*6*2*-1)\/(1*(sqrt(1008) - -2*sqrt(1008)*1)))**2.\nAnswer: 32\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/((-182)\/(-168)*-12)?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1484 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 3*j - 54. Let z be t(16). Let c(i) = i**3 + 8*i**2 - 5*i + 15. Let y be c(z). Calculate the greatest common factor of 78 and y.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1973451 + -1973130.1377. Let m = k - 321. Round m to 2 decimal places.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*y + 40*y - 9*y + 5*y to the form l*y + i and give l.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x**4 - 411*x**3 + 4926*x**2 - 16996*x - 22344 = 0. What is x?\nAnswer: -1, 114\/11, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 5\/(9\/((-11419425)\/(-125)))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 407 and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3*k. Let c(v) = 3*v**2 - 3*v. Let i(o) be the second derivative of -3*o**4\/2 + 17*o**3\/6 + 20*o. Let s(q) = -34*c(q) - 6*i(q). Calculate s(x(r)).\nAnswer: 54*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8 and -252?\nAnswer: 2016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 10:50 AM?\nAnswer: 4:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 604?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 418 and 228371?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 51227 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004748068 rounded to seven decimal places?\nAnswer: -0.0000475","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**3 - h**2 - h + 2. Let k be s(2). Let x(i) = 2*i + 4*i - k*i. Let d(j) = j. Determine d(x(p)).\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 203638214?\nAnswer: 2, 13, 1259, 6221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/(-12))\/((-37)\/1998). Solve 5*q = w - 15, -d = -3*w - w + 6*q for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*z - 70*z + 92*z + 6300 = 0. What is the remainder when z is divided by 110?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of 0*u**4 - 1\/6*u**5 + 0*u**3 - 45*u**2 + 0*u + 0. Let w(g) = -g**2. Determine f(i) - 4*w(i).\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19.1 - -16.1. Let t be (1 - -1) + 2\/(-2). Put m, t, -1\/6 in ascending order.\nAnswer: m, -1\/6, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14618 + -5971. Let g = 7479 - 3832. Let q = v - g. What is q rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 443 + 299 = 7*j. Suppose 4*p - 19 = -k + 14, -2*k + 2*p + j = 0. Calculate the greatest common factor of 1519 and k.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from yyyyyyyyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.620608 to 2 dps.\nAnswer: 5.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of 0*v + 0*v**4 + 0*v**5 + 0*v**6 + 1\/6*v**3 + 4*v**2 + 0 - 1\/105*v**7. Differentiate s(m) wrt m.\nAnswer: -8*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.13*0.1.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17847 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = p - 2*a, 2*p = -0*p + 2*a. Let d be 7\/161*p\/(-2)*3. Is d greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0)*(-31 + 31 - 8*t) + 2606*t - 1308*t + 65 - 1305*t.\nAnswer: -15*t + 65","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1795?\nAnswer: 5, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9\/13 - -58\/65. Let r = 21 - 120. Let w be (-18)\/r + (-7)\/(-22). Which is the nearest to -0.1? (a) w (b) x (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 8:36 PM?\nAnswer: 12:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -4*o + o + 62, 2*o + 2*a = 42. Let u(g) = 1624*g + 12. Calculate the least common multiple of o and u(0).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -74.4 + 51.3. What is the second biggest value in 0.4, 3, k?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171484847?\nAnswer: 61, 2811227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198*c + 671 = -39 - 676 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1134 = -3*x - 1128. Differentiate 95*i**3 + 9*i**x + 25*i**3 + 4*i**2 - 131 - 13*i**2 with respect to i.\nAnswer: 360*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/58093 and -103\/7552090.\nAnswer: 7552090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m**2 + 2*m**2 - m**2.\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 96 and 2994?\nAnswer: 47904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -122.4 - -110. Let g = a - -23.9. What is g rounded to zero dps?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 213726706 or 213726703?\nAnswer: 213726703","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 72 + -68. Let w be o\/(-30) + (-1233)\/(-135). Solve 0 = -5*j + 16 + w for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 15761.8.\nAnswer: -6304.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 843*r - 403825. Give c(479).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3637711, -35, -1\/2 in increasing order.\nAnswer: -35, -1\/2, 0.3637711","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 2\/95, -1.9, 3?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3879, 7758, 11639, 15522, 19407, 23294?\nAnswer: 27183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 482 + 86?\nAnswer: 568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of 29*a + 70\/3*a**3 + 0*a**2 - 95. What is the first derivative of i(s) wrt s?\nAnswer: 140*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3628249 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*t - 20*t - 2*t**2 - 34*t - 689.\nAnswer: -2*t**2 - 14*t - 689","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1 (b) 8 (c) 62\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -5*p**3 + 2*p**3 - 13*p**2 - 12*p**3. Let z(s) = 7*s**3 + 6*s**2. Suppose -212*g + 207*g - 51 = 2*x, g = 2*x - 27. Determine g*z(d) - 6*a(d).\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 9:47 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 + -70 + 14 + 6 + 106 + 2?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 - 7*a + 6. Let m be 0 + -1 + -1 - -8. What is s(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 11:10 PM?\nAnswer: 2:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -24*f + 72. Give h(4).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110 is divided by 43?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -5*v - 4*f + 601999997, 3*f - 120399997 = -v. Suppose 0*o - v = -4*o. Round o to the nearest one million.\nAnswer: 30000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-6) + (-5)\/((-60)\/38). Suppose -3 = v + 2*v. Let m = v + g. Solve p = -m*p + 2*b + 9, 5*p = 2*b + 19 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 4:58 AM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, m: 2, s: 1, y: 1, g: 1, b: 1}. What is prob of sequence yrm?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 - 18*d - 6. Let t(l) = -15*l**2 - 255*l - 85. Let q(o) = -85*i(o) + 6*t(o). Let m(g) = -334*g**2. Give q(m(w)).\nAnswer: -557780*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g**3 - g**2 - 2*g - 1. Suppose 6 = -3*n + 3. Let y be l(n). Solve 0 = -y*i + 5*j + 29, -4*j + 0 - 12 = 4*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23795, -23906, -24017?\nAnswer: -24128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d*d**(-1)*d)\/d)**(-18\/13)\/(d**2\/d)**(1\/66))**23 assuming d is positive.\nAnswer: d**(-27623\/858)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 265 and 2840\/30 - (-4)\/12?\nAnswer: 5035","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14198850 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 25077 divided by -1331\nAnswer: -25077\/1331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(325)*-1 + sqrt(637)*-1.\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -249945 (c) -236 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1135, -2286, -3451, -4630, -5823, -7030, -8251?\n\"Answer: -7*n**2 - 1130*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6154.561272 - 0.038728. Let p = j - -6156.59998. Let r = 2 - p. Round r to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 12 + 2 - 2)*(-d**2 + 4*d**2 + d**2) + (-6*d - 5*d + 6*d)*(d**2 - d**2 - 2*d**2).\nAnswer: 6*d**3 + 48*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3731610 - -0.9312885\nAnswer: -3731609.0687115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 7, 8, -0.021 in descending order.\nAnswer: 8, 7, 3, -0.021","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 - 34*z**2 + 169*z + 2. Calculate t(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.22 times 589964?\nAnswer: 3669576.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -545 + 568. Let x be -1 - 1*(-1)\/1. Suppose x*s + 135 = 3*s. Calculate the remainder when s is divided by t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 2) to base 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((210\/(-672))\/(16\/64))\/((2 - 2) + -1)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 + 2*n. Let f be t(-1). What is the tens digit of 5\/((-2)\/22*f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z - 3. Let j(u) = -2*u + 2. Let l be j(6). Let o be 63\/6*(0 + (-2)\/3). Let y = l - o. What is q(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113*m**2 - 20 - 15 - 2*m - 23.\nAnswer: 113*m**2 - 2*m - 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - x)*(-2 + 4 - 3) + 0*x + 4*x + x.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/2*(-1 + 2). Let m be (15\/20)\/(17 + 737\/(-44)). Solve a + j*a = -m for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17 and 170?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 140111802 and 17845.\nAnswer: 3569","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - (-10 - -6 - (-18 - -8)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k - 6. Let q be z(3). Calculate the least common multiple of -3*(-55)\/15 + q and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7946129903 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -277298*n**4 + 293406 wrt n?\nAnswer: -1109192*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3691 (base 15) to base 9\nAnswer: 16831","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + 6*i**2 + 8*i - 6. Let d be a(7). Suppose -5*p + 43 = -42. What is the remainder when p is divided by 2 - 0 - (-4 + d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2785095 months in years?\nAnswer: 0.023209125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4237 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (14\/21)\/(25\/(-115)*190\/(-1425))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*t**2 + 5*t**5 - 3*t**5 + 0*t**5 - 4*t**5 wrt t?\nAnswer: -120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/(-48)*10\/(-7)\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k - 11682*k**3 + 11685*k**3 - 881365*k**2 + 881365*k**2.\nAnswer: 3*k**3 + k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*l + 17*l + 9*l + 30*l - 151*l + 23*l + 28*l.\nAnswer: -14*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12002201 - 20012?\nAnswer: 11212112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*c + 8991 = 9002 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 20654983 - -16278.157\nAnswer: 20671261.157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -17*m**2 + 41*m + 14. Let j(c) = 8*c**2 - 20*c - 6. Calculate 6*h(q) + 13*j(q).\nAnswer: 2*q**2 - 14*q + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6*58*66\/(-88). Let i = -261 - a. Solve 3*r + r + 3*n = 19, i = 2*r - 2*n + 8 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(1 + (-21)\/18)*22.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 127 (base 10) to base 4\nAnswer: 1333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 275410?\nAnswer: 2, 5, 27541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 + m + 56. Let i be x(6). Let o = -176 + 342. Let y = o - i. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3219\/4 - 815. What is the common denominator of 5\/32 and z?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + 37*u**2 - 167*u - 117. Give a(-41).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27.01 + -0.01. What is the fourth smallest value in -0.2, m, 5, 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-320)\/(-75))\/(-32)*2*(-33)\/(-4)?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s. Let j be t(9). Let q = j - 8. Do q and 1 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - (-5)\/2 - (-18)\/12. Suppose -24 = -z - 4*d, 0 = 3*z - w*z - 4*d - 48. Is 5 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (65 - 81) + -1 + 10 + -2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55 and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-3))\/(1\/(-45)). Let n be (-990)\/(-88)*8\/6. Calculate the greatest common factor of d and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/3)\/((-21)\/7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10294*z**4 + 37228.\nAnswer: 41176*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 AM and 11:23 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 10) to base 14\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 101868022 to the power of 1\/5, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -218, -443, -668, -893?\nAnswer: -1118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 - 2*r + 5. What is f(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 12, u: 5, c: 1}. What is prob of sequence uuu?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 219083063.\nAnswer: 17, 12887239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 55.43 - 56. Let l = -136.57 - k. Let d = l - -94. Is -1\/2 greater than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 AM and 11:39 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) 6\/17 (b) -4\/7 (c) 1 (d) -5 (e) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (102\/1224)\/(2\/42) + (-199)\/116\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/3 or 112277?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38954?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.29808*415.\nAnswer: 123.7032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6 - -3663?\nAnswer: 3657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -20 + -26b?\nAnswer: -28b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0783 - -3.6683. Let x = 159.59 - 160. Let y = g - x. Which is the second biggest value? (a) -42 (b) y (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from cccgccgccccc.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*o + 248 - 463 - 863 = 0 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 2947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 8*p. Let a(h) = -25*h - 9. Let y(v) = -52*v - 15. Let o(i) = 5*a(i) - 3*y(i). Calculate -2*o(z) + 9*s(z).\nAnswer: 10*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + b - 33 = -4*s, 0 = -4*s - 4*b + 36. Calculate the remainder when 1821 is divided by s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 866, 3408, 8474, 16904, 29538, 47216?\nAnswer: 70778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-285)\/(-6)*((-8400)\/(-84))\/(-2500)\nAnswer: -19\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of t**5\/150 + t**4\/30 + t**3\/15 - 49*t**2 - t + 38. Let p(s) be the first derivative of i(s). Solve p(a) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 138208, 276417, 414650, 552919, 691236, 829613, 968062?\n\"Answer: 2*x**3 + 138195*x + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171984\/4*(-6)\/(-18)?\nAnswer: 2, 3583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, s: 5, d: 3}. What is prob of sequence dsi?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 0.4 (c) -52\/213\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8698562*y**3 - 4349269*y**3 - 4349265*y**3.\nAnswer: 28*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-9776)\/(-31490))\/52)\/(1\/(-5))?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 162817\/20172 - -20\/1681. Find the common denominator of r and -13\/54.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 + 32*y + 21. Let p(d) = d**2 - 9*d + 7. Let u be p(10). Let w be v(u). Suppose -w = -2*t - 5*t. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (105 - -130)\/((-304)\/19 + 11).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 16856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*z = -20*z + 19404. Calculate the greatest common divisor of 264 and z.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) -10\/13 (b) -3 (c) -1\/3 (d) -71\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -330 - -333. Solve -z + 10 = 2*o + 4*z, -3 = q*o + 3*z for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(168)\/(sqrt(60)\/sqrt(5)))\/(5*(2*sqrt(7) - sqrt(7))).\nAnswer: sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -71*g**4 - 2613*g**3*m**3 + 198662*g**2*m**3 - 4*g**2*m wrt g?\nAnswer: -1704*g - 15678*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w*w\/(w**9*w))\/w*w)**23 assuming w is positive.\nAnswer: w**(-161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4906 is divided by 1206.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1773*d**2*u**4 - 7*d**2*u**2 + 6*d**2 + 3*d*u**4 + 5*d - 2*u wrt u?\nAnswer: 42552*d**2*u + 72*d*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 851385?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, n: 5, u: 4}. What is prob of sequence ynuy?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 2 (b) -0.4 (c) 261 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150*b = -40*b + 4 + 756 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -123\/40 and (((-54)\/(-132))\/1)\/(6\/(-7))?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30423 is divided by 130?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**5 - 5*r**4 - 7*r**3 + r**2 + 12*r + 4. Let u(q) = 2*q**5 + 10*q**4 + 14*q**3 - 2*q**2 - 25*q - 8. Let c(t) = 9*d(t) + 4*u(t). Factor c(w).\nAnswer: -(w - 1)*(w + 1)**2*(w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*g + 8 = 21*g. Let k(b) = -b**g - 7*b**2 - 2*b + 7*b**2. Calculate k(3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**2 - 34*r. Calculate m(-17).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*j**2 + 21*j**2 + 18*j**2 + 2*j**2 to the form q*j**2 + k + c*j and give q.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -17*15\nAnswer: -255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + c47?\nAnswer: c4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-135)\/(-30)*(-27904)\/(-6). Let m = b - -27072. What is m rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 7*u. Let g(v) be the first derivative of 3 - 1\/6*v**4 + 0*v**2 + 0*v**3 + 2*v. Let y(i) be the first derivative of g(i). Determine y(r(t)).\nAnswer: -98*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6227808?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 706261?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2388 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00306945089 to six dps.\nAnswer: 0.003069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 - w - 9. Let g be k(0). Let p(f) = -2*f + 2. List the prime factors of p(g).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -325343 * 18.9.\nAnswer: -6148982.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 288 = 444. Find the second derivative of 55*v - 2*v**2 + x*v**3 + 32*v + 10*v**3 wrt v.\nAnswer: 294*v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475)*-2 + sqrt(475) + 3)**2*-3.\nAnswer: -1452 + 90*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 - ((-11 - -7) + 1 - 2) - 2.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*d*t**2 + 14539316*d*t + 6*d - 456771 wrt t?\nAnswer: -4*d*t + 14539316*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 49*q + 55. List the prime factors of b(34).\nAnswer: 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1300) - (3 + sqrt(52)\/sqrt(4))) + 0.\nAnswer: -3 + 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 3*o = -3*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1594?\nAnswer: 2, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 + 57*l + 803. What is a(-35)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 3 h when four letters picked without replacement from {m: 4, i: 8, s: 3, h: 4}.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28743 + 15100 + 13643 - 11*i**2 - 6*i**2.\nAnswer: -17*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/2*84\/(-567)?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of -9*p**5\/10 + 81*p**2\/2 + 93*p. What is the first derivative of x(f) wrt f?\nAnswer: -54*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (3 + -4)) + (-74 - -79)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 15 - 35 = 16*d + 23, 15 + 12 = 3*a + 12*d - 16*d for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/11 - 724*q**2\/11 + 1440*q\/11.\nAnswer: 2*q*(q - 360)*(q - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 0.34.\nAnswer: 0.034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -18, -17, -14, -9?\n\"Answer: z**2 - 2*z - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 42 = -99. Let k(r) = -r**3 - 48*r**2 - 49*r + 26. List the prime factors of k(a).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3359.\nAnswer: 3359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, k: 3, x: 2}. What is prob of sequence xkkk?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - l + 4)*(-l - 1 + 1)*(-497*l - 173*l + 95*l + (3 - 3 + 3*l)*(0 - 4 + 3)) to the form v + p*l**3 + y*l**2 + h*l and give p.\nAnswer: -578","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -3 - (-23 + 14).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wmmmwwmwffmmfmmm. Give prob of picking 1 f and 1 m.\nAnswer: 9\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 10:34 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 61*k**5 + 27021*k**4 - 113126*k**3 - 1419084*k**2 - 2134712*k + 71520 = 0.\nAnswer: -447, -4, -2, 2\/61, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25 + 1.6294769.\nAnswer: -23.3705231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5572 and 3582.\nAnswer: 50148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (216\/(-3744))\/(17\/(-1326))\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 68 - 230 = 0. Is 9 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 157 + -160. Which is smaller: o or -47\/11?\nAnswer: -47\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 AM and 6:06 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 763 is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9607?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -72 + 137. Calculate the greatest common divisor of 13 and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 0, -108, -398, -960, -1884, -3260, -5178?\n\"Answer: -15*a**3 - a**2 + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011010101 + 101110100100101011?\nAnswer: 101110110000000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2. Let c(a) = -a - 7. Let v(s) = 2*c(s) + 7*l(s). Let p(f) = 10*f**2. Calculate p(v(k)).\nAnswer: 40*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 11, 0, -1 in descending order.\nAnswer: 11, 3, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(22 + ((-2156120)\/2580)\/38).\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 825833*f**2 - 412877*f**2 - 412959*f**2.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 9 = -3, -3*q + 14 = -5*j. Suppose 3*t = -2*c + 5, 5*t = c + c + 35. Put 5, c, j in decreasing order.\nAnswer: 5, j, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 4:39 PM?\nAnswer: 3:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 74 = 21*o - 59. Which is the fourth biggest value? (a) -3 (b) o (c) -0.009 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1598)\/(-136) - (-2)\/8)*2. What is the greatest common factor of j and 3264?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - 5*o - 9. Let x be b(7). Suppose 105 = x*w + 5*h, 0*w = 2*w - 5*h - 56. Let j = w + -2. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 14115 = 5*k, 201*k = t + 205*k - 7062. List the prime factors of t.\nAnswer: 2, 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = p + 61, 56 = s + 5*p + 9. Suppose 11 = 3*a - s. Let c = 13 + a. What is the greatest common factor of 8 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 277 in -4, -5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - 8*b**2 + 16*b - 14. Determine h(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((-34)\/255*-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -279839831577 - -0.042.\nAnswer: -279839831576.958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**10*k**(20\/3)*k**(-2\/17)\/k*k*k**(-30)*k)**29 assuming k is positive.\nAnswer: k**(-18415\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -88*m**3 - 4*m**2 + 752. Let p(d) = -d**3 - d**2 + 3. Let v(y) = -p(y) - x(y). Find the first derivative of v(n) wrt n.\nAnswer: 267*n**2 + 10*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9886, 9885, 9884?\nAnswer: 9883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 10:03 AM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76613 is divided by 45.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 + 28571\/9525)\/((-65)\/12195). Let b = f - -2\/1651. What is the second biggest value in b, 2\/7, -1\/8?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28251885*b**2*m**3 - 2*b**2*m + 44*b*m**2 - 16247*b*m wrt m.\nAnswer: -169511310*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 735, -0.4, 4, 2\/13?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1437*f + 17284 = -48818 for f.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8009 + -1298. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 59 = -n - 26, -4*s + 76 = 2*n. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of 627*i**6\/2 + 4*i**3\/3 + 28*i**2 + 427. What is the third derivative of j(u) wrt u?\nAnswer: 112860*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 14*b + 44. Suppose -3*d - 6 - 3 = 0. Let j be a(d). Solve 8*t - j = 7*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(121) + 2*(2*sqrt(121) + sqrt(121))))\/(-2*sqrt(176) - (sqrt(176)\/sqrt(4))\/sqrt(4)).\nAnswer: 14*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2427448?\nAnswer: 2, 303431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3978327 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0846 + -0.2746. Which is the closest to r? (a) 1 (b) -0.4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**5 - 450*h**4 + 2180*h**3 + 4440*h**2 - 8752*h - 10560 = 0. Calculate h.\nAnswer: -2, -1, 2, 6, 220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.76 - 4.74. Let m = k + 5.4642. What is m rounded to three dps?\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/g**(-5))\/g**5*g**(-1)\/(g\/(g\/(g*g**(1\/3)*g))))\/((g**(1\/4)*g*g)\/(g\/(g*g**(-6)\/g*g)))**(22\/3) assuming g is positive.\nAnswer: g**(157\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144833?\nAnswer: 13, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.33 - 0.03. Let z = -1.2 + 1.1. Let f = z - h. Which is the closest to -1? (a) -4 (b) f (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -9.68. Let p = s + -0.08. Which is the smallest value? (a) 5 (b) 4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3*y = 4*y + 93, 4*y - 12 = 0. Suppose -546 = -81*x + 1965. What is the remainder when t is divided by x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand g + 0*g + g + (-7*g + 3*g + 0*g)*(4 + 0 - 2).\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*r + 51*r + 1354 = 841*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 71562.3 milligrams?\nAnswer: 0.0000715623","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4 = -o. Let c(j) = -15*j**2 + 3. Let r(z) = 31*z**2 - 7. Let q(k) = o*r(k) + 9*c(k). Differentiate q(n) wrt n.\nAnswer: -22*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -5 (b) -4.6 (c) 0 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6136 - 6140. Which is the nearest to 1\/3? (a) 4 (b) p (c) 91 (d) 1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 99693 divided by -341\nAnswer: -9063\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -513536195 + 513549433.69995. Let k = -13239 + w. Let b = k + 0.3. Round b to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of -r**4\/8 + 2*r**2 + 24. Let u(g) = 4*g - 8. Let o(k) = -1. Let p(a) = -8*o(a) + u(a). What is p(m(l))?\nAnswer: -12*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 11 (b) -5 (c) -336\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-5)\/((((((h**(2\/9)\/h)\/h)\/h)\/h)\/h)\/h))**(-40\/3))**(-33) assuming h is positive.\nAnswer: h**(3080\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 199378851 and 4326.\nAnswer: 2163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 5*o = 14, 0*q = 2*q - o - 18. What is the first derivative of -7*v + 3*v - q*v - v - 13 wrt v?\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnklj. Give prob of sequence nnk.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119308 is divided by 177.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 74 = -2*o + 28, -2*o + 18 = -3*r. Let y be r\/16 - 141\/(-288). Let n = y - 1487\/96. Calculate the common denominator of n and -39\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 509, 0.1, 6\/5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + -1)\/((-1)\/6). Suppose -4*j = -5*y + 2514 - 2355, -j + 102 = 4*y. What is the smallest common multiple of 2\/w + 294\/9 and y?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-10)\/3)\/(((-7)\/(-3))\/7). Let z be (-12)\/8*d\/(-45)*-12. Put -0.9, z, -4, -0.1 in ascending order.\nAnswer: -4, -0.9, -0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115238 is divided by 163.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -328637427*a*k**2 - 35*a*k + 2642467*k wrt k?\nAnswer: -657274854*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/6600 and 79\/79200?\nAnswer: 79200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - (3 + (-5 - -2)))*9. Is 8318 - (-9 + 4 + t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -3*y**3 - y**2 + 1. Let x be m(-1). Let n(s) be the first derivative of s**4\/4 - 5*s**3\/3 + 2*s**2 + s - 1. Calculate n(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 6 - 2 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.010213kg in tonnes?\nAnswer: 0.000010213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6263 (base 7) to base 5\nAnswer: 32301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l - 90*l**2 + 4*l + 76*l**2.\nAnswer: -14*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 2*z**2)*(0*z + 0*z + 3*z**3) + (2*z - 3*z + 4*z)*(-z**4 + 2*z**4 + 0*z**4).\nAnswer: 9*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05250055 to 4 decimal places.\nAnswer: -0.0525","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*w - 6*w + w)*(9187*w**2 + 12*w**2 - 219*w**2 + 4930*w**2 - 376*w**2) as t*w + p*w**2 + v*w**3 + x and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1535*((-14)\/119 - 21\/255). Let j = n + -307. Solve 3 = -j*m - m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 117506713?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -6*o**3 - 3*o**2 - 4*o + 6. Let v(j) = 7*j**3 + 4*j**2 + 5*j - 7. Calculate 5*u(c) + 4*v(c).\nAnswer: -2*c**3 + c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 115, 107, 93, 73, 47, 15?\n\"Answer: -3*t**2 + t + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1333 or 1388?\nAnswer: 1388","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100 = -9*m + 34*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 - 37\/(-12))\/((-1)\/(-2)). What is the third biggest value in -1\/2, v, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20172501 to the nearest integer?\nAnswer: 4491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -824 + 861. Suppose z = 3*z + s - v, 0 = z - s - 14. Calculate the remainder when 356 is divided by z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -3925 = -3926?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -49881, -99760, -149639, -199518, -249397, -299276?\n\"Answer: -49879*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -6. Let a = -2 + c. Suppose 2*x + 2*w = 14, -x + a*x - 17 = w. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0982 rounded to 2 decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3051, -3046, -3037, -3024, -3007?\nAnswer: -2986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -258? (a) -1.1 (b) -4 (c) -19\/3 (d) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1943 is divided by 114?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + -4. Let t = a - -5. Calculate the common denominator of 23\/20 and (-1)\/t*26\/11.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.3 - 3.7. Let a = -68 - -22. Let p = a + 45.7. What is the nearest to p in 0, l, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 8055\/73 and 111 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-6 + 3 + -3 - -9) + -5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 f, and 1 w when three letters picked without replacement from {f: 8, b: 1, w: 4}?\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*b**5 - 53879*b**2 - 30847*b + 2 wrt b.\nAnswer: 80*b**3 - 107758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -114*s**3 - 75*s**2 - 4*s - 1. Let q be (-2)\/4*2 - -4. Let j(b) = -2*b + b**3 + 0*b + q*b. Let l(u) = 22*j(u) - 2*x(u). Find a such that l(a) = 0.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + 10*v**2 - 6*v + 22. Suppose 0 = 5*d + 9 - 54. What is the units digit of m(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.8 - 4.975. What is l rounded to one dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -165715 divided by 1\nAnswer: -165715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -4*z + 9 - 2, -4*z = 5*b + 13. List the prime factors of (-542)\/(-4) + (-8)\/16*z.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 2*r**2 + 2*r + 2. Let m be j(-3). Let u(i) = -i + m - 5. Let f(g) = -g - g + 4*g. Give f(u(q)).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of -3*w**2 - 1177. Let g(k) = -442*k + 1. Calculate g(f(t)).\nAnswer: 2652*t + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1353 is divided by 673?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h**3 + 0*h**2 - h**2 + 2*h**3 + 5 - 3 - 4*h**2 + h**4 to the form b*h + t*h**2 + v*h**3 + k*h**4 + n and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -251 - -6.8.\nAnswer: -244.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1254053 (base 6) to base 2\nAnswer: 10000111111010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 9:23 PM?\nAnswer: 8:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-4))\/(((-19)\/((-950)\/25))\/(-26))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15814 - 47440\/3. Factor -1\/6*d**3 - 1\/2*d + 0 + j*d**2.\nAnswer: -d*(d - 3)*(d - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.334 + 4.434. Which is the biggest value? (a) 765 (b) u (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 42 + -44.3. Let m = 701.336 - 699. Let r = m + p. What is r rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 55854.2 nanograms?\nAnswer: 55.8542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1628334907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2772 - -5545\/2. What is the nearest to 4 in 33\/4, z, 2\/7, 1\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, 2, 9, 1, -4 in increasing order.\nAnswer: -33, -4, 1, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -4*m**3 + 2*m**2 + 126*m - 590. Give n(5).\nAnswer: -410","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + 3*h**2 + 1. Let m be g(-3). Let v(r) = 27*r + 1 + 9*r - 5*r. Is 16 a factor of v(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/4 or 30\/199?\nAnswer: 30\/199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -3*d - 2128. Let g(x) = -9*x**2. Give g(u(v)).\nAnswer: -81*v**2 - 114912*v - 40755456","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 3)*(18195 - 35016 + 17640)*(-l - 3*l + 3*l).\nAnswer: -819*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -74*d**3*i**3 - 5*d**3*i + d**3 - 3*d**2*i**2 - 599*d*i**3 - 4*i**3 wrt d?\nAnswer: -444*i**3 - 30*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/(-1) - 1*2. Let m = -3611 + 21587\/6. Calculate the common denominator of (q\/(-2))\/(9\/(-58)) and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 4*o - 4, -7*l + o - 1 = -3*l. Let a be -1*(2 + -1) - -5. Suppose 0 = -a*y + 3*h + 98, 2*h - 4 = -l. Is 8 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 + 16. Let k be 3\/((-3)\/t - 2). Suppose 0 = -k*d - 2*x + 91, 5*d + 7*x = 3*x + 151. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 70, 92, 154, 280, 494, 820, 1282?\n\"Answer: 4*r**3 - 4*r**2 + 6*r + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36 - -3) + -1210 + 1185.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.01, 3.35, 0 in increasing order.\nAnswer: -0.01, 0, 3, 3.35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 953 = 3*i - 938, 0 = -3*w - 4*i - 20 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*y**2 - 1 + 1)*(0*y**2 + 0*y**2 + y**2) + 1 - 1 - y**4 + 17*y**4 - y**4 - 5*y**4 to the form a + w*y**4 + t*y**3 + s*y + u*y**2 and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {w: 3, x: 4, i: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112 = -229*q + 213*q for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 45*v + 259 - 34 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -932\/3 or -0.5557?\nAnswer: -0.5557","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l + 10 = -5*l. Let s be (1\/l)\/((-10)\/20). Let m(k) = -11*k**2 + k. Give m(s).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -334 divided by -4\nAnswer: 167\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 6:38 AM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of -t**6\/120 - t**5\/15 - t**4\/12 - t**2. Suppose 0*o - 2 = 2*o - 2*c, -o + 5 = -3*c. Is g(o) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -71159, -284642, -640449, -1138580, -1779035, -2561814, -3486917?\n\"Answer: -71162*g**2 + 3*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v**2 + 32*v - 7. Let n be (6\/(-4) + (-47)\/(-10))*5. Let p be y(n). Let s = 3 - p. What is the greatest common divisor of 35 and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/2 and -54185.2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that z**2\/3 + 1565822*z\/3 + 612949633921\/3 = 0.\nAnswer: -782911","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2106635706 to the nearest integer?\nAnswer: 45898","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 848 - 489. Let f = -177 + s. Is f < 361\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16481614433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17882 - 178*w + 17*w + 17882.\nAnswer: -161*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2306, -2015, -1530, -851, 22, 1089?\n\"Answer: 97*o**2 - 2403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 31*y**2 + 312*y + 8. What is n(-10)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yzuuypcouuupuycyu. Give prob of sequence oy.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 4*c - 2*q, 4*q + 1 = 2*c + q. Which is bigger: -58\/13 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 0*l = -5*r + 15, 0 = -4*r - 5*l + 12. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -u + 3*k - 44, k = -4. Calculate the least common multiple of 18\/24 + 42\/8 and u.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110020200101 - 2?\nAnswer: 110020200022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - o = 21, 45 - 57 = -4*h - 4*o for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*m = -45*m - 5*u + 13480, m - 2681 = 4*u. Does 5 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 3*q**2 + 3. Let w = -22 + 30. Let d(n) = -4*n**3 + 8*n**2 + 8. Determine w*r(i) - 3*d(i).\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -15002*r**4 + 12*r**2 + 3012164?\nAnswer: -60008*r**3 + 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 5*l = -10, 0 = l + 3*l. Suppose 28 = 5*r - c. Suppose a - 5*a = -84. Calculate the remainder when a is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34 - (13 - (-1 - -40)) - 17\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 3*u - 9. Let m(o) = -10*o + 510. Let y be m(-30). Suppose -u*g - y = -k - 5442, -3*g + 4617 = 4*k. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, x: 1, y: 1, q: 1, s: 2}. Give prob of sequence lyxl.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1775 * -16.9.\nAnswer: -2.99975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2923 + 2922.6. What is the fourth smallest value in q, -0.1, -63, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -c - 123. Let u = 24 + c. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 194 + -175.6. Let g = x - 18.7. Let r = 0.9 - 1. Which is the second smallest value? (a) 1\/2 (b) g (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2870)\/(-18081))\/((-2584)\/(-216) + -12).\nAnswer: -30\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*k**3 - 6*k - 204*k**3 - 303 + 303 + 26*k to the form r*k**2 + d*k**3 + u*k + t and give u.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 177067 divided by -189.\nAnswer: -177067\/189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of g**4 - 1\/5*g**6 + 15*g + 1\/14*g**7 - 7 + 0*g**2 - 9\/20*g**5 + 2*g**3. Let t(q) be the first derivative of d(q). Factor t(r).\nAnswer: 3*r*(r - 2)**2*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -76\/33 and -139\/180.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/16 of a kilometer in centimeters?\nAnswer: 43750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 5:44 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 less than -0.0097905?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/((-3)\/3)*12\/16?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 c, and 1 v when three letters picked without replacement from zpzzctttipv.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6389 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 PM and 2:15 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 396725 + -196725. Suppose 6*s - 2*s = -v. What is s rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*m**2 + 708*m + 41772 = 0. What is m?\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195 is divided by 63?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/a**4*a))**(-2\/9)\/((a\/a**14)\/(a\/(a\/(a*a**(-2\/3)\/a)))) assuming a is positive.\nAnswer: a**(35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1713112 to the power of 1\/2, to the nearest integer?\nAnswer: 1309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 AM and 4:54 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of -8*v**2 + 1. Let c(q) = 2*q**2. Calculate u(c(w)).\nAnswer: -32*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 191 - 25?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 4) to base 9\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 12:33 PM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7362647*w**4 + 5*w**3 - 94327631*w**2.\nAnswer: -176703528*w + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 11:39 PM?\nAnswer: 8:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103908 is divided by 10303.\nAnswer: 878","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/5, -1, 3\/7, -4\/7 in increasing order.\nAnswer: -1, -4\/7, 3\/7, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-10)\/8)\/(-1) - 1. Let m = 6 + -5.7. Let v = m + 0.2. What is the nearest to p in v, -6\/5, -2\/7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45) - sqrt(45)*3)\/sqrt(3) - (1*sqrt(150) + sqrt(150))\/sqrt(10))\/((6*sqrt(45)\/sqrt(3))\/sqrt(3)*5).\nAnswer: -2*sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-24)\/(-4) - 2)\/2. Let v be ((-36)\/21 - -2)\/f. Let o = -5\/22 - 3\/11. What is the nearest to -1\/3 in o, v, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 9847*k. Let v(f) = 2*f**2 - 1. Give t(v(o)).\nAnswer: 19694*o**2 - 9847","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/5 + 2274*n\/5 + 1816.\nAnswer: (n + 4)*(n + 2270)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 570, -3, 66, 13 in descending order.\nAnswer: 570, 66, 13, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - 20*a - 33. Let z be u(22). List the prime factors of (-9)\/(-1)*(-4 + z) + 2.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-27) + ((-420)\/(-54) - 4). Put t, -2, -1, 1 in ascending order.\nAnswer: -2, -1, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -463 + 515 + 3 + -101.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-12)*-3*(99\/11)\/9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**10\/h**(-5))**28\/((h**(1\/3)*h**(-1\/3))\/(((h**(2\/9)*h)\/h)\/(h\/(h*h*h**6\/h)))) assuming h is positive.\nAnswer: h**(3836\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-49528)\/(-451) - (-6)\/33. Calculate the greatest common factor of 20 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 171, 305, 429, 537, 623, 681, 705, 689?\n\"Answer: -i**3 + i**2 + 138*i + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from spspppssppspppppppp. What is prob of sequence ssp?\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288) - -2*sqrt(288))*6)\/(3*(sqrt(28)\/(sqrt(35)\/sqrt(5)) + sqrt(4))).\nAnswer: 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 779 is divided by 78.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**6*v)\/(v\/v**(-4\/3)) assuming v is positive.\nAnswer: v**(14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 0.5, -16189?\nAnswer: -16189","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9023\/2 + -4511. Let b(k) be the first derivative of l*k**2 + 4 + 4*k. Determine b(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67525267?\nAnswer: 101, 668567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 10*p - 1. Suppose 4*k + k - 30 = 0. Let f(r) = r**2 - r - 4. What is the remainder when f(k) is divided by i(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**8\/(b**25\/b) assuming b is positive.\nAnswer: b**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = 13*l - 16*l + 17, -3*s - 3 = 3*l for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/8)\/((-3)\/(-12)). Let i be (n + (-1 - -3))\/(-1) + 5. Solve -3*v + i*q + 3 = 0, -v + q + q = -1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14401 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: Convert 2122246.2 months to millennia.\nAnswer: 176.85385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 25*y - 9. Calculate j(-4).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 7:45 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.4 (b) -3\/10 (c) 18302\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 - 63*b - 409. Calculate r(-8).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -261*f + 17155 = 8542 for f.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -5. Let x = d + 2. Is x at most as big as -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3659035520?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 + 25*y**2 + y + 29. Let r be p(-25). Put 2, -2, -6, r in ascending order.\nAnswer: -6, -2, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 - 21*s**2 + 22*s - 39. Let i be c(20). Solve -3*z + i = -4*z, 2*j + 5*z = -5 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2\/9, 37, 3 in descending order.\nAnswer: 37, 3, -2\/9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 7 + 4)*(5*c - 4*c + 3*c)*(c + 9*c - 3*c) + (-4*c + 2*c + 0*c)*(-4 + c + 4).\nAnswer: 222*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 30? (a) -2 (b) 4 (c) -76\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/3 + 2601322*z\/3 - 18209156\/3.\nAnswer: -2*(z - 1300654)*(z - 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 11:09 AM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w. Suppose 26 = -5*k + 18*k. Let r(c) = -4 + k + 0 + 1. Give -r(q) - 2*z(q).\nAnswer: -2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 21\/(-3)*2\/(-7) - -3. Suppose 52 - 107 = -v*l. Calculate the remainder when 41 is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*i + 9*i + 9*i - 31*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of -15\/2*i**2 + 3\/5*i**5 - 139 + 13\/3*i**3 + 0*i + 15\/4*i**4. What is the third derivative of f(v) wrt v?\nAnswer: 72*v + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*x - 4*n - 0, -x = -2*n + 7. Let c = 73 - 49. Calculate the remainder when c is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*f + 8 = 80*f. Is ((-42)\/f)\/((-6)\/136) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 140 + 105. Is 35 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165.77 + -3168?\nAnswer: -3002.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99851 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20315\/9 - 2253. Calculate the common denominator of z and -75\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 14 = a - 4*w, 2 = 5*a - 2*w. Let q be 2\/3*(-3)\/a. Let s = -4 + 3.9. What is the second biggest value in q, 2\/15, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -57, 4, 171, 498, 1039?\n\"Answer: 9*g**3 - g**2 + g - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j - 3*j + 0*j)*(1 - 4 + 1) + 2*j - 73 + 73 to the form f + q*j and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-44)\/16 + 3 + (-5)\/4. Calculate the lowest common multiple of 27 and -9*(4 + -2)*m.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 42144*f*x**3 + 2*f - 6381 wrt x.\nAnswer: 126432*f*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 AM and 4:06 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/2 and (-5)\/15*207\/(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2197933 to the power of 1\/3, to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -71 - (-24 + (-5304)\/130).\nAnswer: -31\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1737, -3411, -5045, -6639, -8193, -9707?\nAnswer: -11181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**4 - a**4 - 3*a**4 + (10*a - 10*a - 8*a**2)*(3*a**2 + 15*a**2 - 3*a**2).\nAnswer: -125*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -4*a + 26. Let j = 0 - -2. Suppose a = j*m - 0*m. Is 4 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118124 minus -76483463?\nAnswer: 76601587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-32)\/20)\/((-2)\/10). Let y(v) = v - 3. Let a(o) = -1. Let x(p) = 5*a(p) + y(p). Let d be x(z). Let w(c) = -c**3 - c**2 - 3. What is w(d)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.7 + 6. Suppose 4*u = -0*u - 4. Let s be (0 + -1)\/((-10283)\/(-339)) - 18\/(-39). What is the fourth smallest value in -0.5, u, s, y?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -23. Suppose 3*p - 9 = -3*w, -p - 7*w = -3*w - m. Solve 2*t = 2*v, -5*t + t - 4*v - 8 = p for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-910)\/(-8))\/(1\/4). Let z(b) = b**3 + 6*b**2 + 5. Let h be z(-6). Suppose h*y = -0*y + g. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 3*j + 24. Calculate w(4).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3 + 408*m**2 + 27744*m + 628864.\nAnswer: 2*(m + 68)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 10 = -3*d, 5*u + 3*d - 22 = 2*d for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3, -22, -65, -144, -271, -458, -717?\n\"Answer: -2*l**3 - 5*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4*9\/(-12) - 3. Suppose t = k - 0*k - 3. What is the nearest to k in 0.5, 0, -1\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 466 = 262. Suppose 2*o + 3*o - 124 = 3*y, -2*o + 2*y = -48. What is the greatest common divisor of d and o?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + 5*f**2 + 2*f - 1. Let s be l(4). Let y = s - 14. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 788, -216, -2900, -8092, -16620, -29312?\nAnswer: -46996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (7\/770*4)\/(-4*(-2)\/(-40))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 575274 is divided by 16449?\nAnswer: 16008","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 12269037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 143*l + 4094. Let u be r(-28). Solve -9*q = -u + 162 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -1 + 46. Let k = 2560 + -2524. What is the smallest common multiple of k and t?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 44252.5 and 6?\nAnswer: 265515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 313 is divided by 76.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 3. Let n = -3 + 6. Suppose n*c + y = 31. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - 14*a + 20. Let f be o(17). Let b = f - 8. Does 12 divide 3951\/b - (-4)\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/151 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1711265*o**5 - 2*o**3 - 27*o**2 + 115832666*o wrt o?\nAnswer: 34225300*o**3 - 12*o - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43450596.\nAnswer: 2, 3, 7, 172423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 4*w - 31. Let h be r(9). Let t(f) = 3*f**3 + f**2 - 5*f + 4. Is t(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + 117?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*f + 5. Let z be (f - 10)\/((-2)\/(-31)). Let v = 54 + z. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -52*f**2 + 52*f**2 + 6*f**4 + ((3 - 3 + 2*f)*(-4*f - 3*f + 5*f) - 3*f**2 + 5*f**2 - 3*f**2)*(-2 + f**2 + 2 + (2*f - 2*f + f - 11)*(1 + 2*f - 1)).\nAnswer: -9*f**4 + 110*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.185 + 3.185. Which is the second biggest value? (a) 2\/7 (b) 3\/53 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-57845 - 58209 + 121304)*(-x**3 + 0*x**2 + 0*x**2).\nAnswer: -5250*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (((-38)\/6)\/19)\/((-35)\/30 + 1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 220 and 176324?\nAnswer: 9697820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*m**3*n - 156*m**3 - 10*m**2*n - 2*m**2 + 86*m*n - 577*n wrt m.\nAnswer: -36*m*n - 936*m - 20*n - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1 + -2 + sqrt(5))**2 + 3.\nAnswer: -6*sqrt(5) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2*b = 6*b. Solve 0 = -4*g - b*g + 12 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3302822 is divided by 1170?\nAnswer: 1082","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1056178 + -5283002339\/5002. What is the common denominator of m and 7\/488?\nAnswer: 20008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26483659 to the power of 1\/2, to the nearest integer?\nAnswer: 5146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + (0 + 2)*1. Suppose -g = y - 53. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 476963 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 5:44 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 2 k, and 1 t when four letters picked without replacement from kztztakztrrrkzytk.\nAnswer: 18\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193147 is divided by 1294.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 + ((-24)\/40)\/((-6)\/311730) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - j = 15 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 0. Let z = 22\/31 + -348\/403. Let o = -1 + 4. Which is the closest to -0.1? (a) z (b) o (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1980\/(-30)*(-4)\/(-8)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 17356879\/5 and 3471377 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -24*d**2 + 8*d - 20. Let u(v) = v**2 - v. Let f(z) = -2*l(z) - 44*u(z). Let f(g) = 0. What is g?\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, a: 6, q: 7, j: 5}. What is prob of picking 2 j and 1 g?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 22794 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6390 - -6387.121. What is l rounded to one decimal place?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 760259063 to the nearest integer?\nAnswer: 27573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + 5)*(-2 - -3). What is the second derivative of v**g + v + 0*v + v**5 wrt v?\nAnswer: 40*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 538 and -83.895751?\nAnswer: 621.895751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*w**4 + 4*w + 2*w**2 - 2*w - 3*w**2 - 2*w**3 - w in the form d*w + f + a*w**4 + r*w**3 + p*w**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*m, 0*k + m = k - 45. Suppose 7*t - k = 3*t. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -990 by -66.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -62118 (base 11) in base 15?\nAnswer: -1bcd3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -1799999*v - 5. Let o be c(5). Round o to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11937000 rounded to the nearest one hundred thousand?\nAnswer: 11900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78744 is divided by 334?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 37*w. Let j(s) = s**3 - 6*s**2 - 6*s - 10. Let p be j(7). Let r be p*(10\/3 + -4). Let y(a) = -4*a - a + r*a + 4*a. What is y(c(n))?\nAnswer: 37*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 AM and 10:00 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*j - 115*j - 5 = -2*n - 192*j, -2*j = -n - 2*n - 11 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10613 + 10616. Let y(q) be the second derivative of -2\/45*q**4 + 0*q**r + 0 - 1\/225*q**6 - 34*q - 1\/30*q**5 + 0*q**2. Factor y(b).\nAnswer: -2*b**2*(b + 1)*(b + 4)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2\/33)\/j**(-2\/5))\/(j*j*j**(-13))**26)**44 assuming j is positive.\nAnswer: j**(188984\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121 is divided by 8\/(8\/(-3)) - 1*-30.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w + 2*w**2 + 251*w**3 + 0 - 97*w**3 - 62*w**3 - 49*w**3 + 3 in the form c + x*w + q*w**2 + v*w**3 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -7*x + 15. Suppose 0 = -5*a + 3*d + 777 - 104, 4*a - x*d = 528. What is a rounded to the nearest ten?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1586 (base 12) in base 2?\nAnswer: 100111110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 97.09717mg in tonnes?\nAnswer: 0.00000009709717","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 divided by -177.\nAnswer: 5\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 180616 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/6*-3 + 3. Let h = 1 - r. Solve 0*v - v = h for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 12 = -3. What is the second derivative of 17*y**b + 18*y + 105*y**2 - 105*y**2 wrt y?\nAnswer: 102*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 23\/4 - 2\/(-8) and 162\/(-9)*(-342)\/81.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -6*q + q. Suppose -4*p - 2*b - 18 = 0, -3*p = -5*p - 4*b - 12. Let i = 94 - 91. Sort 1, p, q, i in decreasing order.\nAnswer: q, i, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 6, d: 2, z: 1, j: 3, q: 4}. Give prob of sequence dq.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4173.\nAnswer: 3, 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 60\/(-1 + 5\/7). Let k be (-148)\/z + (-16)\/120. Which is bigger: k or 0.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -106*m**5 + 3*m**4 - 4*m + 15. Let w(s) = 107*s**5 - 4*s**4 + 6*s - 14. Let y(u) = 4*h(u) + 3*w(u). What is the second derivative of y(g) wrt g?\nAnswer: -2060*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.268 in 3\/5, 0.15, 1, 0?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11121 - -32?\nAnswer: 11203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -x - 96. Let c be 6\/x - (-51)\/24. Suppose 0 = 2*w - 3*o + 1, -3*o = c*w - 2*o - 3. What is the second smallest value in w, 5, -2\/9?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 t when four letters picked without replacement from {b: 3, f: 9, d: 3, t: 2}?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 192388 divided by 96194\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8718353 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 525730 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7708*g**2 - 115*g + 15?\nAnswer: 15416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27 + 27. Solve 3*g = -p*g - 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -2*o + 34, 0 = 4*q - 2*o + 3*o - 37. Let n(d) = d**2 - 7*d - 8. Let k be n(q). Solve -f + 2*i = 4 - 17, -5*f + 2*i + 33 = k for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 75, 5, 0.03, 0.1?\nAnswer: 75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248638 is divided by 105.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + 36*t**2 + 76*t. Let x be h(38). Suppose x = -48*z + 505980 + 271956. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22361*a**2*l + 21755*a**2 + a*l - 2*a wrt l.\nAnswer: -22361*a**2 + a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 590 and 555485?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 - 6. Suppose -i - 16 = l*n, n - 2*i + 13 = -0*n. Let r(y) = y + 7. Let k be r(n). Solve 2*u - 15 = -g - k*g, -25 = -2*u - 5*g for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 1. Let o = -3 + c. Let w = 9961 - 9958. What is the second smallest value in 0.5, w, o, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1560.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -5*g - 3. Let u be o(-2). Let k(f) = -5*f + 13. Let d be (12\/(-8))\/(6\/40). Let w be k(d). Calculate the highest common divisor of u and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + -13. Let z(i) = i**2 + 3*i + 1. Let p be z(-3). Suppose -q*t - p - t**2 + t - t = 0. Calculate t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -150 divided by -50\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10817131 and 56781?\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8107?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/20))**(-10)*l**(7\/3)*l**0)**7 assuming l is positive.\nAnswer: l**(119\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 5455 divide 579615570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*j - 51 + 25 + 26 as h*j + u and give h.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: a (base 13) to base 11\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1272744178?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*(r\/(r\/r**3))\/r)\/r*r**(14\/11))\/((r\/((r**18*r)\/r))\/r**(-34)) assuming r is positive.\nAnswer: r**(-140\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/25 + (-46)\/(-10). Suppose y - 20 = -5*i, 0 = -y + d*i - 1 - 9. Suppose 0 = -22*j + j + 42. Solve m - y = -j for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 + 28*l + 52. What is p(30)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*o**4 + 18*o**4 + 15*o - 36*o**2 + 32*o**2 - 2 + (-3 + 3 + o)*(-291 + 291 + 47*o**3).\nAnswer: 49*o**4 - 4*o**2 + 15*o - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, t: 3, g: 4, j: 7}. Give prob of sequence ctt.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 525*w = 4640*w - 130212 - 96113 for w.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3128 divided by 4.\nAnswer: 782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 2602998?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wl when two letters picked without replacement from swllu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-210*-4*4*(-2)\/96)\/(-2)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 122892?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(5 + -1) - -4. Suppose 25 = -4*j - 5*b, g*b + 25 = -0. Which is bigger: -4 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*d + 2*d - 20*d - 2*d + 2*d.\nAnswer: -51*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 + 62*v**2 + 371*v + 1973. Determine u(-56).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 345274 (base 9) to base 14\nAnswer: 55769","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-364)\/(-91)*1\/(-88)\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 + i. Let n(z) = -3*z**2 + 2*z + 2. Let a(t) = -b(t) + n(t). Let g(q) be the third derivative of q**5\/60 + q**2. Give a(w) + 3*g(w).\nAnswer: w**2 + w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3565752 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-28)*296\/370?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 11008, 8952, 5526, 730?\n\"Answer: -685*s**2 - s + 11694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 - 16*b - 35*b + 8)*(-3 + 5 + 0) to c*b + d and give c.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0065507 rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 9*p - c = 17, -4*p - 3*c - 18 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1597010?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 572\/528 + -5 + (-305)\/(-60)?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 334 is divided by 138.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000626437 to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3*n - 6. Let y be l(-3). Solve 0 = -y*w + 4*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - s**2 - s. Let h(p) = -5*p**2 + p**3 - 3*p - 1 - 2 + 5. Let q be (5 - 3)\/((-2)\/(2 + -4 - -3)). What is q*h(o) + 3*n(o)?\nAnswer: 2*o**3 + 2*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -4*c - 23, -5*c - 250*l + 249*l - 26 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hii when three letters picked without replacement from ihghgihhkkikhhhh.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -81600949\/3146 + 25938. Let c = v + -147819\/135278. What is the common denominator of -51\/7 and c?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-2)\/16)\/((25\/(-790))\/(-5)) and 143\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 8*o**2 - 6*o + 9. Let k be (-3)\/(6\/(-7))*-2. Let z be a(k). Let x = z - -30. Does 12 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1870 + 2873. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11239653869 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/16 and -25\/64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1301708 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -12407 + 12407 - 4586*o in the form k + r*o and give r.\nAnswer: -4586","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - (-15)\/(-6))*-8. Let c be 3\/g - (2 + -1). What is the second biggest value in 0.2, -0.4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 48 - 8 = -58*h + 19, -2*s + 3*h = 30 for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22405 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 26*w**4\/5 + 5544*w**3\/5 + 21326*w**2 + 124152*w\/5 + 4608 = 0.\nAnswer: -192, -20, -1, -3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - -4)\/((-4)\/4) - -28. Let b be (-10)\/8 + (0 - s\/(-8)). Solve -3*n - b*p + 13 = -0*n, -n - 14 = -3*p for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2992781.\nAnswer: 11, 73, 3727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2058949 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-2*(sqrt(784) - (sqrt(784) + sqrt(784) + -1*sqrt(784))))\/((sqrt(35) - 1*sqrt(3500))\/(-2*sqrt(20))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2970*y + 1501*y + 1 - 1 + 1516*y in the form w*y + s and give w.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 11:14 PM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -4*f + 8, -2*f - f + 19 = c. Let y = c + -10. Let a be ((-2)\/y)\/(8\/(-30)). Which is greater: -2 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2856\/990 - (-4)\/22 and 85\/30 - 3*(-28)\/21.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of -b**8\/14 + 77*b**6\/30 + 21*b**4\/2 - b + 220. Find the third derivative of h(t) wrt t.\nAnswer: -480*t**3 + 1848*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5233257?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -124269 > -124269?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d = 3*d + 2*d + 10107. What is the thousands digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134364077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82187.\nAnswer: 7, 59, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 276161553?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 110, 253, 410, 575, 742, 905?\nAnswer: 1058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -6*h**2 - 45*h + 3. Give l(-7).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 - -23. Solve v = r - c, -5*r = -3*v - v - 16 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1697305828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 355549 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 111896 and 2343.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56628366?\nAnswer: 2, 3, 439, 21499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1050, 4, -5 in descending order.\nAnswer: 4, -5, -1050","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 7. Which is greater: m or -2\/7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/18)\/(13\/3).\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m - 27*m**3 + 4*m - 2*m.\nAnswer: -27*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 626*b**2 + 39*b - 25. Let y be h(9). Suppose 15*w - 19*w + p + y = 0, -2*p = -2*w + 25522. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 287, 541, 779, 995, 1183, 1337, 1451?\nAnswer: 1519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (1 - 3) + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + -2 + 8 - (-10 - -43).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - 3*d**2 - 5*d - 7. Calculate j(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4552, 9263, 13974?\n\"Answer: 4711*s - 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -306, -305, -304, -303, -302, -301?\nAnswer: -300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*(4 - 4 - h) + (5*h - 2*h - 4*h)*(-2 + 3 + 1).\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 8 = 4*r, 5*r + 0*r - 18 = y. Suppose -3*f + 1 = -5. Factor 0*i + 6*i**y - f*i + 0*i**2 - 2*i.\nAnswer: 2*i*(3*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 402*j + 1. Let a be y(1). Suppose -o - 2*o = 3*r + 741, -5*o = -r + 1205. Let n = a + o. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (((-18)\/27)\/2)\/(2\/(-684)). Let t = 114 - n. Which is the closest to t? (a) 5 (b) -1\/3 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, 2, -4, -5, -3, -2 in descending order.\nAnswer: 37, 2, -2, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -87 + 90 + -92 + 6 - (-8 - -23).\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -54 - -60. Suppose -2*s = -2*r - 0*s - c, 0 = 3*r - s + 3. Solve -2*t + r*t + 8 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 110112, 440463, 991046, 1761861, 2752908, 3964187?\nAnswer: 5395698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55240, -55187, -55134?\nAnswer: -55081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 32*(-3)\/3 + -2. Let p = g - -69. What is the remainder when p is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.47 + -5.47. Let n = 4 + -4.3. Which is the third biggest value? (a) h (b) 2\/13 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 78\/9 + (-4)\/6. Let s = c + -4. Suppose 4*x + w = 3*x - 39997, -s*x - 159985 = 5*w. What is x rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(2\/5))**(-7\/5)*h*h\/(h**(-4)\/h*h*h)*h\/((h\/(h*h**(1\/5)))\/h) assuming h is positive.\nAnswer: h**(159\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**3\/19 + 8*g**2\/19 + 640*g\/19 = 0. Calculate g.\nAnswer: -16, 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 303, 606, 911, 1218, 1527?\n\"Answer: p**2 + 300*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one halves of a year?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 947400 - 1506365821\/1590. Find the common denominator of f and 25\/231.\nAnswer: 122430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f**3 - 2*f**2 + 15*f + 22. What is t(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -13020002 (base 4) to base 9\nAnswer: -44028","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5055614885?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3465 is divided by 324?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + sqrt(76)*-4*-3)\/((sqrt(24) + sqrt(24) + 2*sqrt(24) + sqrt(24))\/sqrt(6)) + -5 + 4.\nAnswer: -1 + 13*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r + r + 16340 = 0. List the prime factors of r.\nAnswer: 2, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/44 and -65\/19645156?\nAnswer: 216096716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 divided by 26.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a + 12. Suppose -2*o - 2*x = -20, 2*o - 2*x = -0*o + 20. Let d be u(o). Suppose 0 = 5*s + s - d. What is the remainder when 41 is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 3\/45439?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-700)\/(-75)*4\/(24\/9).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 10 = 2*c, 0 = -3*k + 18*c - 71 - 4. Solve 5*g + k*v + 23 = 18, -4*v = -5*g - 23 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 34 = 3*z - 4*z, -5*z + 154 = -4*f. Let g = f + 36. Solve g = 5*d - 3*m - 5, -m = 2*d - 3*m - 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-3) + 76\/12. Solve 3*n - 2*n - 3 = 2*h, 2*n + 2*h + m = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28380336887298+-0.7\nAnswer: -28380336887298.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 6 + 2 = 0. Suppose -5*y + 12 = 2*j - 19, 0 = w*j + 4*y - 44. What is the greatest common divisor of j and 152?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (10 - 7) + (-7 - -2)*1. Let n be ((-72)\/120)\/(h\/10). Solve 0 = -4*z + n*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160785201 a multiple of 323?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 79 = 69. Solve -3*z - 10 = i*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 15) to base 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q. Let s(r) = 11*r**2 - 5*r. Suppose 0*w = -5*w - 3*n + 102, 5*w = -n + 94. Let c(h) = -39*h**2 + 18*h. Let k(l) = w*s(l) + 5*c(l). Give m(k(b)).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 8 - 76. Suppose -6 = 3*i, h - 2*i - b = 30. Is h a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of -o**7\/189 + 2*o**6\/9 + 203*o**5\/45 + 98*o**4\/3 + 121*o**3 + 246*o**2 - 5627*o - 1. Determine a so that f(a) = 0.\nAnswer: -3, -2, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in 14, -2, -7, 10?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8de (base 16) in base 2?\nAnswer: 100011011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -43169.55 rounded to the nearest 1000?\nAnswer: -43000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 13 - bcb7?\nAnswer: -bca4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n - 4*n + 2*n)*(n**4 - 6*n**4 + 3*n**4).\nAnswer: 6*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1962482*g - 3*g**2 + 638043*g - 3074782*g + 5*g**2.\nAnswer: 2*g**2 - 4399221*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 154 + -145. Solve 11 = k + p for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -15*c - 5. Let t be o(-2). Let m = t + -22. Suppose 0 = -2*i - i + m. Solve i + 19 = 4*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - 3*v. Let c(q) = q**2 - 4*q. Let z(k) = -3*c(k) + 4*x(k). Let u be z(0). Suppose u = 5*m - 2 - 8. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + n + 544 = -312, 5*x = 2*n + 2141. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 + 25. Suppose r = -c*x + 1439, 5*x - 5*r + 126 - 2511 = 0. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 32\/(-63) - (-2)\/7. Let h be ((-2400)\/210)\/40*(2\/(-4) - -1). Sort 1, h, -8\/7, c in decreasing order.\nAnswer: 1, h, c, -8\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*t**3 - t**3 + 2*t**3 + 1404*t**4 - 1750*t**2 - 1262*t**4 - 1452*t**2 wrt t.\nAnswer: 3408*t + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of -p**6\/70 + 27*p**5\/140 + 37*p**4\/28 - 9*p**3\/14 - 54*p**2\/7 - 2*p - 918. Let v(k) = 0. What is k?\nAnswer: -3, -1, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.05 - 7.95. Let d = 60.41 - 60.01. Which is the nearest to 1? (a) l (b) d (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 5*r = -p + 2, 3*p + 3*r - 6 = 0. Suppose p*c - 2 = 2*t - 0*t, 1 = -5*t + 3*c. Which is smaller: t or -2\/345?\nAnswer: -2\/345","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6774233 and 9?\nAnswer: 60968097","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.5 (b) 0 (c) 52\/83 (d) -3 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 244 is divided by 67?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 6*f**2 - 2*f**3 - f + 4 - 4*f**2 + 0*f**2. Let y be c(2). Let s be (208\/(-195))\/(2\/y). Which is greater: -1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 410 = 175. Let m = -102 - p. Solve h - m = 6*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 291 + -163. Let k = 127.9999911 - g. Round k to 6 dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1748)\/(-608)*80\/(-10)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of v**10\/4320 - v**7\/2520 + v**4\/2 - 2*v. Let n(p) be the third derivative of b(p). Find the third derivative of n(z) wrt z.\nAnswer: 420*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -4*z - 1. Let p(y) = -3*y. Determine 5*p(f) - 4*x(f).\nAnswer: f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1011989, 1011950, 1011911, 1011872?\n\"Answer: -39*o + 1012028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gkm when three letters picked without replacement from {h: 2, k: 2, q: 1, g: 2, m: 2, w: 8}?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3245\/399 - 131\/19. Find the common denominator of t and -67\/33.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 4*s - 22. Let f be p(5). Let y = f + 27. Suppose 2*b + 13 = l, -5*b + 3*l + l = y. Put 0, b, -3 in descending order.\nAnswer: 0, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1496*f**3*v**3 - 50*f**2*v**3 - f**2*v**2 + 3*f*v**3 wrt f?\nAnswer: 8976*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 6, b: 4, f: 3}. What is prob of sequence ebbb?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 a when three letters picked without replacement from aavvccaaaqqqv?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 14*h**2 + h - 1. Let d(q) = -q**2 + 4*q - 4. Let x be d(3). Let o(m) = -m. Let y be o(x). Does 12 divide g(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -22\/69?\nAnswer: -22\/69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.038, -2, -1, 64513\/7 in descending order.\nAnswer: 64513\/7, -0.038, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 5*o**2 - 567*o + 47. What is x(-18)?\nAnswer: 2801","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -72057, -72052, -72045, -72036?\nAnswer: -72025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c**2\/7 + c + 1\/7 = 0. What is c?\nAnswer: -1\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/400 and 33\/21652760.\nAnswer: 216527600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 4. Suppose 5*n + 2*f - 17 = 21, 21 = r*n - 5*f. Suppose -6 = 2*q - 12. What is the least common multiple of q and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -41176, -40650, -39224, -36448, -31872, -25046, -15520?\n\"Answer: 75*x**3 + x - 41252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of -f**5\/20 + f**4\/3 + 3*f**2\/2 + 4*f + 1. What is h(3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25637 by 2.\nAnswer: -25637\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.44 take away 52?\nAnswer: -49.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -26*g**2 + 2. Let y(x) = -87526*x. Give o(y(q)).\nAnswer: -199180817576*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 595.\nAnswer: 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 31041681 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -2*c + 4, -6*r + r = 2*c - 4. Let s(p) = -p. Let j be s(-6). Let n = c + j. What is the lowest common multiple of n and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1876446 divided by 26.\nAnswer: 72171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*k = -36 + 104. Suppose 0 = 3*v + k*z - 2107, -5*v + 0*z + 3501 = -4*z. What are the prime factors of v?\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -245*d - 459 - 3869 = 1552 for d.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - 119.6832487.\nAnswer: -123.6832487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 145064 by -1.\nAnswer: -145064","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 + h + 3. Let p be o(0). Suppose 3*s + 417 = 3*m, 0 = p*s - m - 3*m + 421. Calculate the common denominator of -57\/2 and (9\/(-30))\/(4\/s).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -398 - 197 = -109*d + 59 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**3 - 6*c**3 + 3*c**3 + (0 + c + 0)*(-4*c**2 - 932*c + 932*c) - 21*c**3 + 17*c**3 - 16*c**3 to the form f*c**2 + j + z*c**3 + x*c and give z.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 7) in base 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7 + 42607?\nAnswer: 42616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/73 (b) 1\/3 (c) -4 (d) 0.021\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-9) - (-630106)\/1224. Let r = j + -515. Let h = r + 63\/340. What is the closest to -1 in h, -0.1, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -96*z - 6. Let f be r(-1). What is the highest common factor of f and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -62.84 and 20?\nAnswer: 82.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1125 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -848 (b) 2 (c) -2\/7 (d) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -1024?\nAnswer: -1023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 245743 * -0.01.\nAnswer: -2457.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2*j + 5898 = -t, -2*j = -2. Let f = 10152 + t. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/12*(-16)\/(-3). Let t = -3.58 + 10.5. Let v = t - -0.08. Sort v, 2, f in descending order.\nAnswer: v, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/2 (b) 64 (c) 4 (d) -0.5 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 4*u. Let l(q) = 3*q**2 + 8*q + 9. Let n be l(9). Let a = 508 - n. Let p(x) = 100*x - a*x + 89*x. Calculate c(p(d)).\nAnswer: 20*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nsnn when four letters picked without replacement from {s: 9, n: 7, z: 2}?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-8) - 1\/(-2). Let o = -112\/253 - -6\/23. Put r, o, -2\/13 in ascending order.\nAnswer: o, -2\/13, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, l: 3, p: 2}. Give prob of sequence vp.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 114852 and 136.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 17 = -4*f + 2*x, 2*f = 2*x - 30 for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 53 + -160. Let v = 57 + l. Let k be v*(-3 + -1268 + 3). Round k to the nearest 1000.\nAnswer: 63000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-12)\/(-10))\/((-4)\/(-20)). Suppose 0 = a*t - 2053 + 787. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3 - -0.2. Let w be 4\/48 - (-2)\/8. What is the biggest value in w, z, 0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -w - 2*w + 25, 3*w - b = -5. Suppose -4*n - 35 + 147 = w. Is 3 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 88578*h**2*n**2 + 11098587*h**2 - 117*h*n**3 wrt n.\nAnswer: 177156*h**2*n - 351*h*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 0*g - 215 = 0. Let l(h) = h**3 - 10*h**2 - 11*h + 112. Let s be l(10). Suppose -s*z - 33 = -g. What is the smallest common multiple of z and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + (-4)\/(-16)*4. Suppose 316 = 2*w + 2*o, 762 = 5*w + o - s*o. What is the highest common divisor of 14 and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 267 and 11214?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -14004522 (base 6) in base 8?\nAnswer: -1621242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.136019648 to 4 dps.\nAnswer: -0.136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.25 + -0.09. Let r = t + -0.31. Let j = r - -1.85. What is j rounded to zero decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of b**5\/10 - 13*b**3\/6 - 65*b**2\/2 - 27*b. Find the first derivative of c(d) wrt d.\nAnswer: 6*d**2 - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25 - (-1 + -50 + 84)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 11:33 PM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -4*v**3 + 9*v**2 - 9*v + 9. Let d(w) = -17*w**2 - 25*w + 11. Let l(n) = -6*n**2 - 9*n + 4. Let j(t) = 5*d(t) - 14*l(t). Calculate 4*g(k) + 36*j(k).\nAnswer: -16*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.27 - 0.17. Let p = -4 - 0. What is the third smallest value in p, -3\/5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 42 + -175?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -255129*u**3 + 32449*u**2 + 2*u wrt u?\nAnswer: -1530774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 100 - 154. Let a = -34 - g. Is a a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14411 - 21?\nAnswer: 14350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = -4*p - 11, -3*z - 2*p = 2*z + 9 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -261 + 142. Let t be (-68)\/l*14\/4. Find the third derivative of -4*w**3 - 2*w**2 + 15*w**3 - 13*w**t wrt w.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - 563?\nAnswer: -560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -119 times -0.2?\nAnswer: 23.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 7 = -5*p, -5*b = 6*p - 10*p - 32 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3 + 50 - -5)\/(6\/69) - 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 530760 and 26538.\nAnswer: 530760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5308851.\nAnswer: 3, 53, 173, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u**2 - 2*u - 6. Let r(a) = 3*a - 3 - 5*a + 0*a**2 + 3*a + a**2 + 4. Calculate 2*r(y) + z(y).\nAnswer: -y**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16\/(-5)*(-10)\/4. Suppose 0 = -2*r + t. Calculate the remainder when 19 is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7658480*k**4 - 1774015.\nAnswer: 30633920*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/6 - (-10 + 19)\/(-9). What is the closest to 1 in 144.6, -3, -0.1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 282 and 4982?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kabouak. What is prob of picking 1 o and 1 a?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of i**3*x**3 + 4*i**3*x + 6*i**2*x**3 + 33*i**2*x**2 - i*x**2 - x**3 wrt x.\nAnswer: 6*i**3 + 36*i**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -257*y = -270*y + 5018. What is the remainder when y is divided by 46?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2895958\/85 bigger than 34069?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + 7*v**2 - 2*v + 10. Let o be a(7). Let j be ((-888)\/(-178) - 1) + o. Which is greater: -1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -1 - 68*d - 69*d + 2*d**2 + 135*d. Let f(q) = 1. What is -4*f(g) - l(g)?\nAnswer: -2*g**2 + 2*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-44)\/5*(-21 - -1). Suppose 4*r = 3*g - h, 2*r - 111 = 5*r + 3*g. Let y = r + 174. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*i + 1430 = -33*i. Let o(r) = -r**2 - 12*r - 11. Calculate the remainder when i is divided by o(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 + w**2 - 2*w + 2. Give u(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 113354 and 45125?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 10*f**3 - 12*f**2 - 12*f - 3. Let y(c) = -c**3 + 2*c**2 + c + 1. Give -b(u) - 6*y(u).\nAnswer: -4*u**3 + 6*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.29 + 0.29. Let g = -7.98 + -0.02. Let n = g + 13. What is the third biggest value in h, -5, n?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((5 - -1) + -4)\/(-7 - 27). Which is greater: n or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 5*u - 8*u + 420, -709 = -5*a + 4*u. Suppose 0*k = -4*k + 940. Calculate the greatest common factor of a and k.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0182 - 27.2818. Let r = -30 - f. Round r to 1 dp.\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1065905 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 130 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 18 = -7. Suppose 3*t = z*w + 1345, 4*t - 1282 - 500 = w. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1384, 2772, 4160, 5548, 6936, 8324?\nAnswer: 9712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(190)*-2 + -2*sqrt(190)*-6)*2)\/(1*sqrt(360)*-6 - ((sqrt(360) - (-2*sqrt(360)*6 + sqrt(360))) + sqrt(360))).\nAnswer: -14*sqrt(19)\/57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15016?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, 9303 in descending order.\nAnswer: 9303, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -3*j**2 + 2*j - 1. Let c(h) = h**3 - 6*h**2 - 7*h. Let b be c(7). Let g = b + 2. Calculate y(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 731c07 (base 15) in base 16?\nAnswer: 53852e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -5*p - 465, 0*u - 3*p = -u + 93. Suppose -7*w - u = -10*w. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/((g*g**(-2\/5)*g)\/g))\/g)**(-2\/3)\/(g*((g*g*g\/g**(2\/7)*g)\/g)\/g*g**(-3\/4)))\/((g*g\/g**(-2\/9))\/(g**(-4\/9)*g))**36 assuming g is positive.\nAnswer: g**(-8619\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 9. Suppose j = -n*k - 18 - 11, 0 = -3*k + j - 25. Is (-12)\/k + (-7337)\/(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -3*y + 16, -5*k + 4*y + 2 - 21 = 0. Is k >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 8. Let v be (-9)\/o - (-1)\/4. Let s be -4 + (v + 1 - 1). What is s rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*c = -25422 - 99610 - 54520. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*q = 14694974 - 59040338. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u + 5. Let o(a) = -a - 4. Let f(n) = -2*o(n) - 3*v(n). Let j be f(-3). Suppose j*y - 64 - 51 = 0. What is the greatest common factor of y and 253?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/4 - 5\/12. Let d be 32\/(-176) + (3\/(-3) - (-1528)\/1144). Sort 1, d, q, -2\/5 in ascending order.\nAnswer: q, -2\/5, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.717*-0.3\nAnswer: -0.8151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(51) + 3*sqrt(204))\/(-6*sqrt(6)\/sqrt(2))*-5 - (sqrt(187)\/(sqrt(33)\/sqrt(12)) - (sqrt(1377)*-1 + -1)))**2.\nAnswer: 31*sqrt(17)\/3 + 16373\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 66 - 6. Suppose 14*m = f*m - 136. Let c = 205 - m. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -12*c - 6. Let k(z) = 21*z + 11. Let r(m) = 6*k(m) + 11*n(m). Let p be 2\/6 - (-10)\/6. Let f(d) = -d + 3*d + p*d. Determine r(f(a)).\nAnswer: -24*a","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Convert 875498.7cm to nanometers.\nAnswer: 8754987000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**2 - 2*o - 3. Let m(u) = -u**3 + 6*u**2 + 6*u + 5. Let n be m(7). Let a be y(n). Let s = -8 - a. Is s greater than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 - 181*q - 708. Let p be j(-4). Solve -11*t + p*t = -55 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 55980935?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (804\/(-18))\/(1 + 3\/(-9)). Let f = s + 61. Let q(r) = 3*r**2 - 2*r + 13. What are the prime factors of q(f)?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 2 + (3 - 2 - 3)*(3 + 0 - 2))*(-43303*q - 1 - 24280*q - 1 + 13003*q).\nAnswer: 218320*q + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*q = -38*q + 1866 - 634. What is the lowest common multiple of 176 and q?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -g*q**2*t + 10*g*q**2 - 9*g*q*r*t + g*q*r + q**2*r - 2 wrt q?\nAnswer: -2*g*t + 20*g + 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*g - 31*g + g**2 - 3*g**2 + (-2*g - g + 4*g)*(g + 0*g - 2*g) as i*g + o + k*g**2 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 2982.\nAnswer: 5964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -66877, -133729, -200579, -267427, -334273, -401117?\n\"Answer: a**2 - 66855*a - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5648595.\nAnswer: 3, 5, 376573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 8*j - 52. Let b be 162\/9*(-2)\/(-4). Let v(p) = -p**3 + 9*p**2 + p + 4. Let z be v(b). What is the greatest common divisor of j and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -2*s**5 - 774*s**4 - 77548*s**3 - 516056*s**2 - 1016880*s - 577600 = 0.\nAnswer: -190, -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, q: 1, s: 1, r: 3, i: 2}. What is prob of sequence qnn?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - a?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*x**3 - 59212*x**2 + 2068256*x - 456688 = 0. Calculate x.\nAnswer: -1679, 2\/9, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7319*h + 56*h**3 + h**2 - 7323*h + 14642*h - 13 to g*h**3 + q*h**2 + x + u*h and give x.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-14)*2 + (2246400\/560)\/135?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = r - 13, -2*w + 38 = -65*r + 61*r for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*z**2 - 3*z**2 + 6*z**2 + 3 with respect to z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of -k**4\/4 + 2*k**3\/3 - 3. Suppose n - 5*w = 23 - 2, 3*n + w = -1. Let m be o(n). Solve 3*r - m - 2 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + sqrt(2)*1 + 1 - (sqrt(200) + sqrt(200)*-1)) + sqrt(256)\/sqrt(2) + -5.\nAnswer: -4 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -2*s + t - 7, t = 2*s + 19. Let w be (69\/s*-2)\/(3\/(-12)). Let l = w + 83. List the prime factors of l.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 3*t + 32, 5*i - 8 = -4*t + 3*t. Let d(h) = -2*h + 9. Let q(s) = -s + 1. Let v(o) = -d(o) + 3*q(o). List the prime factors of v(t).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -801\/10 - -1767\/22. Let x = -2\/11 - a. Find the common denominator of (-10)\/16 - 5750\/(-240) and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 2*f + 106, -239*u + 244*u - 136 = f. Solve 3*q - 4*o - u = 0, -4*q + 1 = 2*o - 13 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**4\/3 - 5*f**3\/3 - 16*f**2 + 368*f\/3 - 640\/3 = 0 for f.\nAnswer: -8, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 + 24 - ((11 - -13) + 74)?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*i - 148 = 4. Let j(o) = -2*o - 2. Determine j(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 73595176 to the nearest integer?\nAnswer: 8579","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -812*o**4 - 1135*o**4 + 1712*o**4 + (2*o**3 + 5*o - 5*o)*(-3 - 2*o + 3) + o**4 - 4*o**4 - 7*o**4.\nAnswer: -249*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -54 + 181?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17127026.1ns to days.\nAnswer: 0.00000019822946875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8778*p**2 - 48*p**3 - 8778*p**2 + 44*p**3.\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 bigger than 11658\/287?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.7, 13, -2\/5, 0.5 in ascending order.\nAnswer: -0.7, -2\/5, 0.5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 40\/7*c + 4\/7*c**2 + 100\/7.\nAnswer: 4*(c + 5)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -103 equal to -103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 814 and 74.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.49 - -1.69. Put -2\/11, c, -8 in descending order.\nAnswer: c, -2\/11, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3*y - 13 = 0, -3*s + 5*y + 6 = -25. Suppose 4*x + 62 = s*u, -5*u - 6*x + 130 = -11*x. Calculate the remainder when u is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 264111 + -12541?\nAnswer: 251240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001004 rounded to four dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 0 - j - 3*j - 3. Let o be q(-2). Solve -3*c = 4 + o for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-28)\/(-21))\/((-2)\/(-42))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7110.\nAnswer: 2, 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 784.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/41 at least as big as -9.48508?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218 is divided by 37.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 119024961 and 165.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9468 + 9468.016426. What is f rounded to 4 decimal places?\nAnswer: 0.0164","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1320\/(-8)*12\/(-90)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from mggggmgmmmmmmmmgmilm?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Round -80423700 to the nearest one million.\nAnswer: -80000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from {i: 1, r: 1, g: 2, k: 10}.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 h when two letters picked without replacement from {z: 1, x: 1, h: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68760*k - 68759*k = -5*a - 62, 0 = 4*k + 7*a + 248 for k.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 180 times 4369.51?\nAnswer: 786511.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + 3*p - p)*(18*p + 2*p**2 - 18*p) - 7*p**3 + 14*p**3 + 24*p**3.\nAnswer: 39*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (186*-2)\/(-11 + 10). Let a = c + -150. Suppose 2*j = -4*j + a. What are the prime factors of j?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1555 + -43. What is the remainder when k is divided by 169?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 2:15 AM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 40088.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 16, -3, 34.\nAnswer: -3, -2\/5, 16, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*c + 14. Suppose -87 - 23 = -c*j. Suppose h = -h + j. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 - 3 - ((-23 - -19) + (6 - -1))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -68758*q**4 - 68755*q**4 - q**3 + 2*q**2 - q + 3 + 137499*q**4 to the form t*q**2 + z*q + f*q**3 + h*q**4 + k and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45)\/(-6) - 4)*(19030\/(-1463) - -13).\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y**2 + 72*y + 125. Let p be l(-35). What is the greatest common factor of 935 and p?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, z: 1, s: 1, l: 2, m: 4, q: 5}. What is prob of picking 1 z, 2 m, and 1 s?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*q = 134 - 109. Which is greater: q or 1.41?\nAnswer: 1.41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - o**2 - 2. Let s be j(-2). Let v = -13 - -19. Let t(m) = 10*m + 192. Let n be t(-18). Solve v*z + n = s*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 11\/2 (b) 5 (c) -5549 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of 2*d**5\/85 - 19*d**4\/17 + 214*d**3\/17 + 760*d**2\/17 + 800*d\/17 - 96. Factor c(y).\nAnswer: 2*(y - 20)**2*(y + 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b**2*g**2*q - 131*b**2*g**2 - b*g*q + g**2*q + 2*g**2 + 22 wrt b.\nAnswer: -4*g**2*q - 262*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1187645156?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -342 and 118559002765.\nAnswer: 118559002423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -58.34548 - 0.77665.\nAnswer: -59.12213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125 + 128 + 218 - 612 + 138 + 12*s - 5*s.\nAnswer: 7*s - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 16660\/(-1105) - 15\/((-2925)\/210)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2610218438 to the nearest integer?\nAnswer: 51090","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 8*r**2 + 8*r + 2. Give i(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(2 + -1)*-2. Suppose -c - c - 2*m + 86 = 0, -i*m - 94 = -2*c. What is the highest common divisor of c and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 - 8*r - 2. Suppose 4*k = 2*k + 14. Let m be n(k). Let d be (12\/m)\/((-3)\/(-4050000)). What is d rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -4219*t + 4 - 9*t**2 + 4210*t + 10*t**2. Let o(a) = -a**2 + 10*a - 3. What is 3*i(r) + 4*o(r)?\nAnswer: -r**2 + 13*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 332731 + -0.4?\nAnswer: 332730.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -6*u**2 - 65*u - 39. Let j(r) = -3*r**2 - 32*r - 20. Let x(v) = -2*c(v) + 5*j(v). Let l be x(-9). Solve l*y - 27 = p, p = -5*y + 4*p + 31 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11978461 + -2121539. What is p rounded to the nearest one million?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + 12110?\nAnswer: 12122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of p**5\/4 - 293*p**4\/24 + 29*p**3\/4 - 3466*p. Factor d(h).\nAnswer: h*(h - 29)*(10*h - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 432.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-30 + 30)\/(-2 - 1). Let g(x) = 47*x - 47*x + c*x**2 + 4*x**2. Let v(b) = -2*b. Determine v(g(r)).\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 44633022?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4532 and 220.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -1047*g**2 - 15*g - 3119. Let r(d) = 523*d**2 + 6*d + 1560. Let k(c) = -7*r(c) - 3*x(c). Differentiate k(a) wrt a.\nAnswer: -1040*a + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 - 242203*t - 1453250. Determine c(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 3:26 AM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 17*s + 450 = 0. Is 29 a factor of 8770\/18 + 10\/s*-1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of 0 + 0*x**5 - 3*x**2 + 1\/210*x**7 + 0*x + 0*x**4 + 0*x**6 + 1\/3*x**3. What is the derivative of r(w) wrt w?\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 264*k**2 + 2375*k - 20. Let x be o(-9). Suppose y + 6 = 3. Sort -5, 5, x, y in decreasing order.\nAnswer: 5, y, -5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -7167*f - 802711. What is u(-112)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -1, -6, -7, -3, 82 in decreasing order.\nAnswer: 82, -1, -3, -6, -7, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 777.87968 - 778. Let b = -0.12 - f. Round b to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4165050*t + 13524 = 4165197*t for t.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 2 e, and 1 w when four letters picked without replacement from clwlececeeiccecwl.\nAnswer: 6\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1156)\/(-47 - -30) - 8.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1047529 (base 11) to base 8.\nAnswer: -7011716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25112910.\nAnswer: 2, 3, 5, 17, 41, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 293\/1521 + 5\/169. Let g = -157.09 + 157. Which is smaller: m or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((28\/(-10))\/14)\/((-8)\/(-10))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10145 is divided by 421.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 9*g**3 + 369*g**2 - 79*g + 44. Let p be y(-41). What is the greatest common factor of 490 and p?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16d (base 14) to base 12\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rooooveverppvoorre. What is prob of sequence vvr?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of -3*x**4\/4 - x**3\/3 + 8*x**2 + 18*x. Differentiate z(s) with respect to s.\nAnswer: -18*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/2 (b) 1\/35 (c) 0 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 10 + 15311\/(-1004).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -5*o + 30. Let v be p(-6). Solve -66 + v = 3*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (22296\/(-32))\/((-10)\/(-8)). Let y = o - -552. Let n = y - -167\/30. Sort 9, 5, n.\nAnswer: n, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.83341 tonnes in milligrams?\nAnswer: 32833410000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is a9b7c (base 13) in base 6?\nAnswer: 10330521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -20*d - 112. Let g be i(-6). Let n be (-2 - (-18)\/g)\/(3\/9). Let t be (5\/(-3) - -2) + -1. Sort -3, t, n in decreasing order.\nAnswer: n, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 15) to base 2\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - -15. Factor 0 - 3\/5*r**w + 3\/5*r.\nAnswer: -3*r*(r - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11667637 and -4.\nAnswer: -46670548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 5 + (6 - (1 - -7))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 2 + 3)*(-4*c + 2*c**2 + 4*c) + 3*c**2 + c**2 - 2*c**2)*(22 - 22 - c**2).\nAnswer: -4*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 447 and -0.3.\nAnswer: 446.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2057 - 2060. What is the fifth smallest value in -14, -2\/11, 5, l, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -5*g**4 + 16*g**2. Let w(k) = k**4. Let v(s) = b(s) + 4*w(s). Find the third derivative of v(m) wrt m.\nAnswer: -24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 9:48 PM?\nAnswer: 11:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1810 - -1447207?\nAnswer: 1450117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -91\/3 - -31. Let g = 3 - 6. Which is the closest to 0? (a) g (b) -2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 221 - 221 - 27*s**3 + 6*s**3.\nAnswer: -21*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -93269093, -93269092, -93269091, -93269090, -93269089?\n\"Answer: q - 93269094","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -161 - -287812?\nAnswer: 287641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 72.1 - 72. What is the nearest to 0 in y, 1\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1097, -1081, -1065?\n\"Answer: 16*p - 1113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/561248439 or -1?\nAnswer: 2\/561248439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 + 53. List the prime factors of u.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1223.3 + 1278.49. Let d = a + -0.19. Let m = 55 - d. Which is smaller: m or -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 102 + -76. Suppose 8*p + 53 + 27 = 0. Let a be p\/2*(-3 + (-11)\/5). Calculate the greatest common divisor of q and a.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4313 + 14579 = -1085*z - 7148 for z.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-114)\/(-15) - (-6)\/15. Suppose 3*h + y = 5*a, 0 = -0*h - h + 4. Solve -2*o = -a*q - 8, -q - 5 = o - 0*q for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 108 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2398188 and 996?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 296*o + 3340 - 793 + 2446 = -631 for o.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 35 = -3*c + s, 15 = -3*s. Let u(r) = -58*r - 31. Suppose -5*a - 15 = 2*p, 14 + 9 = 2*a - 5*p. What is the remainder when u(a) is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 20180, 20165, 20136, 20087, 20012, 19905?\n\"Answer: -z**3 - z**2 - 5*z + 20187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 58.73 - -1.77. Let c = s + -51. What is c rounded to 0 decimal places?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 237 + -369. Let v be 3\/4*13056\/t. Let q = v + 7663\/99. Find the common denominator of -91\/10 and q.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fffn when four letters picked without replacement from nnnnfnfnfn?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*q = 25*q - 11*q + 240 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + -1111101?\nAnswer: -1111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/((-18)\/(-8)) + 0. Solve u + r - 21 = -q*r, 5 = r for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z - 8*z**3 - 5 + 6 + 4 - 2*z**4 + 9*z**3 to the form j*z**3 + v*z**4 + p*z + q + w*z**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26413 - 26408. Let z(m) = 11*m - 61. Determine z(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 109 divided by 100122?\nAnswer: 109\/100122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.072 rounded to 1 decimal place?\nAnswer: 51.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 49 - 641\/13. Let p = 0.03 + -2.03. Is r >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - k**2 - k + 11. Let z be f(0). Suppose 4*u + q = z, 3*q + 6 - 3 = -3*u. Calculate the greatest common factor of u and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -18. Suppose z = d - 3. What is the second derivative of 4*u - d*u**3 + 12*u**3 - u**5 wrt u?\nAnswer: -20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of -31*n**3\/6 + 40*n**2 - 99*n. Let o(d) = -d - 32. Determine -3*m(k) + 2*o(k).\nAnswer: -2*k + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/13 >= 2\/299249?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 8, -1, -35, 1024 in descending order.\nAnswer: 1024, 8, -1, -15, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -140, -1\/5, -4\/9 in increasing order.\nAnswer: -140, -4\/9, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6750\/11 - 33684\/55. Let n(x) be the first derivative of -2\/15*x**3 + 0*x + v*x**2 + 14. Suppose n(s) = 0. What is s?\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.428245l to millilitres.\nAnswer: 7428.245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 = -45*n + 11*n - 56 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 o when four letters picked without replacement from okooooqoqckk.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of 2*b**5\/5 - 50*b**3\/3 - 153*b**2 - 406. What is the second derivative of s(o) wrt o?\nAnswer: 24*o**2 - 100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(2904) + sqrt(2904)*-2*-1)\/((sqrt(144) - sqrt(16))\/sqrt(2) + sqrt(32)\/sqrt(4)*2).\nAnswer: -4 + 33*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s + 188. Let w(g) = -627*g - 78. Calculate w(f(b)).\nAnswer: 1254*b - 117954","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/252 + (-207)\/42.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, n: 6, j: 2}. Give prob of picking 2 n.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 356 is divided by 179.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43902691?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -6*k**2 - 679*k - 816. Determine d(-112).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fb when two letters picked without replacement from enbfne.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8056 + -3273?\nAnswer: 4673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2457849.\nAnswer: 3, 23, 179, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 90577.6 micrometers?\nAnswer: 0.0000905776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 2. Let n(q) = -3*q**2 - 7. Let c be n(-7). Let w = y - c. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2935139 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 464?\nAnswer: -928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -421 = 7*i - 498 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -3*t**3 + 42*t**2 - 6*t + 5. Let y(p) = p**3 - 14*p**2 + 2*p - 2. Suppose 0 = -1768*k + 1777*k + 27. Determine k*c(b) - 8*y(b).\nAnswer: b**3 - 14*b**2 + 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34*v**3 + 5*v**2 - 5*v**2)*(3*v**2 - 5*v**2 + 4*v**2)*(-14 + 3 + 2).\nAnswer: -612*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 42 - 22. Suppose -2*d + 3*j + 12 = 0, -2*d = 5*j - 12 - 0. What is the units digit of d*c\/8 + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -10. Let s be (28\/56)\/((-2)\/(-16)). Suppose -p - w*t - 4 = -6*p, t - s = 0. Solve -n = p*n + 5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.593 - -0.093. Let j = -26 + 105\/4. Put 2, c, j in increasing order.\nAnswer: c, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-20)*c**(-5)*c*(c\/(c\/(c*((c*c*c**0)\/c)\/c*c)))\/c*c**(-15) assuming c is positive.\nAnswer: c**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - l - 217 - 283 = 0, 0 = -2*l - 4. What is the hundreds digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.08 and 18?\nAnswer: -1.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -4*s**2. Let x(h) = 12*h**2. Give v(x(i)).\nAnswer: -576*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 350 - 338. Solve -k + 5*j - 20 = 0, 5*j - i - 8 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**2*t**(-5))\/((t\/t**(-2\/7))\/t)**16*((t*t**(-4\/3))\/(t**5*t))**(-12\/19) assuming t is positive.\nAnswer: t**(-46\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 470049 to the power of 1\/3, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(300))*5*-5.\nAnswer: -250*sqrt(3) - 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 + -20.9. Let h = 1.2 - w. Let v = -0.03 - -0.33. Which is smaller: h or v?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(3146)*-1 + sqrt(3146)))\/((sqrt(1280)\/sqrt(2))\/sqrt(5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4)\/20 - 91\/(-5) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 349105?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 4*p + 1348 = 0, 2*r - 795 = p + 97. Suppose -4*f = -3*l - 92 + 418, r = 4*l + 4*f. What is the smallest common multiple of 11 and l?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12543440 divided by 313586\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-142)*2*11\/(-11))\/((-3)\/(-6))\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 12 = 3*t, 2*v + 5*t + 5 + 15 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 338 and 62868.\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 3*f - 35 = -4*i, -13*i - 14930*f = -14926*f - 274 for i.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -781438 by -14.\nAnswer: 55817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 20. Let l = p - -20. Solve -14 = -5*c + 4*k, -l + 0 = 3*k for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.0706 and -1\/91 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11583*z - 16238 with respect to z.\nAnswer: 11583","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -62 divided by 10628\nAnswer: -31\/5314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.04 - -0.04. Let a = g - -9. Let j = a + -2. What is the third smallest value in 1, j, 1\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.1 + -1.4. Let q = 106013.700016 - 106013. Let h = q - x. Round h to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2965323?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 45884, 46651, 47418, 48185, 48952, 49719?\n\"Answer: 767*s + 45117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5412\/1968)\/(95\/10 - 4).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2288467.84 - -36.1011.\nAnswer: -2288431.7389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/85 - -179\/765. Sort 0.08, -0.2, s in descending order.\nAnswer: s, 0.08, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.36072 - -907891681.\nAnswer: 907891681.36072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -20*(-3 + (8 - 3)). What are the prime factors of 10\/(l\/(-12)) - -265?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 103892, 207980, 312068, 416156, 520244, 624332?\nAnswer: 728420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 7 - 1 - 9933*r + 9896*r in the form y*r + q and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 9:36 PM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 8:35 PM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3609 - -3607. Let a = 1.13 - 0.13. Let f = a + 0. What is the closest to -2 in -1, f, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 228 divide 3919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 98 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*f**3*h**2 - 16*f**3*h - 86*h**2 - 1 wrt f.\nAnswer: -6*f**2*h**2 - 48*f**2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -20 + 5*z**2 - z**2 + 2*z**2. Let l(t) = -8*t**2 + 11*t**2 - 3*t**2 + 7 - 2*t**2 + 0*t**2. Calculate -4*a(v) - 11*l(v).\nAnswer: -2*v**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28007010.\nAnswer: 2, 3, 5, 311189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1017 is divided by 69?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 314*c + 18*c - 130*c + 159*c.\nAnswer: 361*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*x**5 + 392*x**4 - 1528*x**3 + 2272*x**2 - 1508*x + 376 = 0. Calculate x.\nAnswer: 1, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - ((71 - 0) + -196 - (-2 - 23)).\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1100) + -4 + sqrt(121)\/(4*sqrt(176)) + 2)**2*-2.\nAnswer: -286155\/128 + 161*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p + h + 8, -4*h = -169*p + 164*p + 31 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 0.4 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 2 (b) -4\/7 (c) -0.1 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25 and 22378975.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u + u + 2*u + 512*u**2 + u - 314*u**2.\nAnswer: 198*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - c + 17 = 4*c, 5*t - 3*c = -4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12\/13, -1\/2, 4, 6, -3\/8 in descending order.\nAnswer: 6, 4, -3\/8, -1\/2, -12\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 86*f - 84*f + 4. Suppose 4*k = 1 + 15. Let n(q) = q**3 - 5*q**2 + 3*q + 2. Let t be n(k). Is t greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41163 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u and 1 f when four letters picked without replacement from {d: 1, f: 3, u: 5, t: 1, k: 2}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 11\/8 of a millisecond?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13176 + 85003. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = -4*u, -3*v - 661*u - 2 = -660*u for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 7:13 PM?\nAnswer: 12:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8 + -8 - (-19 - -1). Let c = 22 - d. Suppose 4*n - 28 = -c*m, 2*n + 3*m - 22 = -m. Solve -4*i = -x - 7, i + 4*i = n*x + 14 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(1539) + 1 - sqrt(1539))**2*3 + sqrt(1539) + (-3*-2*sqrt(1539))**2) - (-1*(sqrt(19) + 2) + -5 + -4)**2*-1.\nAnswer: -55267 + 13*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 AM and 5:15 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 AM and 11:09 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11 and -34.\nAnswer: -374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -26721*o - 21623 wrt o?\nAnswer: -26721","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-2266)\/13596*12\/(-87)*3\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -5*u + 40, -4*u = 55*z - 62*z - 55 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 8878\/248584*42\/(-1)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*a - a + 6*a + (-2*a - 2*a + 5*a)*(4 - 2 - 4) + 0*a - 2*a + 0*a - a - 4 + 4 + (3 - 3 + 3*a)*(2 - 1 - 3) + (-8 + 0 - 2)*(2*a - 2*a - 2*a).\nAnswer: 10*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -31?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 6*t**2 + 2*t + 3. What is the remainder when x(-3) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32603 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -158 - -218. Let n = -59.5 + r. Let f be (-16)\/12*(-1)\/2. Which is the closest to 0.1? (a) n (b) f (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -132121 (base 4) to base 15\nAnswer: -89a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*c - 45*c + 28*c.\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-4)\/v)\/v**(-2\/7)*(v\/(v**(2\/9)\/v*v))\/v**(1\/2) assuming v is positive.\nAnswer: v**(-433\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -6*s**3 - 802*s**2 + 272*s + 575. Calculate g(-134).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -149983, -601520, -1354085, -2407678, -3762299?\nAnswer: -5417948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -6*(sqrt(1872) + (sqrt(1872) - (2 + (sqrt(1872) - (sqrt(1872) - sqrt(1872)*-1)))) - sqrt(1872))*2 + -4.\nAnswer: -288*sqrt(13) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, b: 3, c: 2}. What is prob of sequence vc?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - 3*z**2 - 3*z - 2. Let i be q(-5). Let v = -43 + i. Suppose v*p - 23*p = 0. Solve 4*u - 16 = 4*s, 3*u + s + 3*s + 23 = p for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1737372 a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/216 and -115\/48?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 5:25 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 q when three letters picked without replacement from qpppqppqfpqqp?\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 27043 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2.851*4663\nAnswer: -13294.213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202110 + -201000?\nAnswer: 1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of 11\/180*l**5 - 3*l**2 - 1\/6*l**4 + 1\/1008*l**8 - 1\/210*l**7 + 0*l + 33 - 1\/360*l**6 + 2\/9*l**3. Solve a(o) = 0 for o.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30933653?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -101010000 (base 2) to base 16\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4135*p**3 - 582*p**2 + 2092*p**2 + 2029*p**2 + 2354*p**2 wrt p.\nAnswer: 24810","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -9\/10859?\nAnswer: -9\/10859","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -2*s + 37. Suppose -3*n - 5*n = -s. Solve 5*y = -2*j + 12, 4 = n*y + 4*j - 8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 173, 332, 479, 608, 713, 788, 827?\n\"Answer: -l**3 + 166*l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13 and 221221?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 79180?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5, -4\/3, 3, -9\/4?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 2 + 4 = 0, 29 = 5*o + 3*c. Let u be (8\/(-6))\/(6\/(-9)). Suppose 0 = -u*f + s + 10, -f + 12 = s + o. What is the least common multiple of 11 and f?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6506, -12596, -18654, -24680, -30674, -36636?\nAnswer: -42566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 146067.8 to the nearest one hundred.\nAnswer: 146100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**4 + 0*j**4 + 2*j**4)*(-1 - 1 + 1) - 3*j - 2*j**4 + 3*j + (-4*j + 4*j + j**2)*(j**2 + 1 - 1).\nAnswer: -3*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.27*370.\nAnswer: 1949.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3938, 5465, 6992, 8519, 10046?\n\"Answer: 1527*j + 2411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 49*s**2 - 784*s - 43. What is c(16)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 498 divide 309141342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 170 + 188. Let n = 200 + -335. Let l = n + m. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 22 = -4*g, 3*g - h - 66 = -56. Suppose -g*l + t + 3 = 0, -3*l - 4 = -4*t + 10. Calculate the smallest common multiple of l and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, s: 3, d: 3}. Give prob of picking 1 d and 2 s.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 + 8*j + 11. Let t be h(-7). Suppose 3*k = 4*k - t*k. Solve -2*y + 10*y - 198 + 2*y**2 + 206 + k*y = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1660725*x - 302 - 1660724*x + 146 + 156.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 49177430 a multiple of 443?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -123*g + 126*g - 360. Suppose -4*q - 5*m = -g, 0 = 5*q - 0*m + 2*m - 150. Calculate the greatest common factor of q and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.17043 + 0?\nAnswer: -12.17043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(12)\/(sqrt(4) + sqrt(16) + sqrt(4)) + 3*sqrt(147)*4)*-4)**2 + -3.\nAnswer: 344760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 371 + -628. Let b = p - -465. Let g = 358 - b. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 506 and 6147394.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -5 (b) -3\/2 (c) 0 (d) -0.5 (e) 1\/4 (f) -108 (g) 1\/3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 30*g**2 - 15*g - 4*g + 5*g**3 - 18*g + 2*g = 0?\nAnswer: -7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u + 9. Let j be n(0). Let f(q) = q - 5. Let o be f(j). Suppose 0 = g + o*g - 10. Solve -2*r - g*r + 3*y = 28, -4*r + 2*y = 24 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -1\/1300, -5, -0.06 in decreasing order.\nAnswer: -1\/1300, -0.06, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 24 - 37 = s, -2*z + 9 = -s for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/2 (b) 2.11 (c) -3 (d) -5\/6 (e) -24 (f) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 43 + -18. Let o(w) = -w**3 - 9*w**2 - 10*w - 9. Calculate the remainder when n is divided by o(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -7874, -15751, -23628, -31505?\n\"Answer: -7877*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 - 11*j + 2. Let b be y(-9). Let k be b\/(-16) - (-2)\/4. What is the third smallest value in k, -3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -953*s = -83767 + 196221 for s.\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-129)\/42*(-3)\/(-27). Let f = w + 1\/18. Which is the third biggest value? (a) -0.3 (b) 1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 + -201.053.\nAnswer: -204.053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express g**4 - 18 + 69 - 27 - 20 - g**3 - 24*g**2 as s*g**3 + l*g**4 + q*g + m*g**2 + f and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 7 (b) -0.095 (c) 3\/5 (d) 654\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -137095\nAnswer: 27419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k - 2*k + 3*k - k**2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 3878296?\nAnswer: 3878296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 205*d - 1751 = -1001 + 14830 for d.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 PM and 5:53 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -5.7. Let m = a - -0.29. Let j = -4.99 + m. What is the nearest to 0 in 0.5, 4, j?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3 - 3)*(x**2 + 2*x**2 - x**2)*(-4*x**2 - 4*x**2 + 0*x**2) in the form b*x + l*x**2 + n + v*x**3 + q*x**4 and give q.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 174044 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 0) + 11 - (143 - 140)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of -1\/70*u**7 + 0*u + u**3 - 3\/8*u**4 - 33*u**2 + 3\/40*u**6 + 0 - 1\/20*u**5. Suppose x(g) = 0. What is g?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 10:44 AM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 20 = 0, 5*h - 3 - 5 = 4*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51834 is divided by 4789?\nAnswer: 3944","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -312*m + 3903. What is the hundreds digit of x(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + 2)*(408\/16)\/(-17).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: a17522 (base 12) to base 4\nAnswer: 21213230222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 5 + (-2 + 2 - 1)*(6 - 3 - 1))*(-45*j**3 + 45*j**3 - 15*j**4).\nAnswer: -30*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b - 1. Determine g(-9).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -467 + 1538 = 9*q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-13)*(-21)\/(21\/3). Let s = 148.1 - 148.2. Put s, j, 5 in descending order.\nAnswer: 5, s, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 c when two letters picked without replacement from jbcbpbbbbbjpbb.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125336 is divided by 31331.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4290 - 2195. Suppose 10*u - 77 + 27 = 0. Suppose k + 415 = -5*t, 0*t = -u*k - 5*t - o. Round k to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28 + -20. Suppose 0 = -2*g + r, 7543 = 4*q + 4*g - 21605. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27 and 7641?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 198012, 396008, 594004, 792000, 989996, 1187992?\n\"Answer: 197996*n + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*j + 88 - 4 = 0. Suppose j*l - 13 = -o + 5, 0 = 4*o + 3*l - 20. Solve -o = b + 3 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 302710?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -605105 + -15?\nAnswer: -605122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of 5*s**7\/504 + 41*s**4\/12 + 22*s. Let w(x) be the third derivative of p(x). Let a(y) = y. Determine w(a(j)).\nAnswer: 25*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 5*b**4\/4 + 25*b**3\/2 + 20*b**2 = 0?\nAnswer: -8, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 4*h**2 - 2*h + 5. Let i be k(4). Suppose l + 10 = 4*z, 3*z - 19 = 6*l - 11*l. Sort i, 12, z in descending order.\nAnswer: 12, z, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 1. Let j(m) = 10*m**3 - 1 - 56*m**3 - 6*m**3 - s*m - 2*m**2. Is j(-1) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of -p**6\/160 - 27*p**5\/40 - 95*p**4\/8 - 69*p**3 + 5*p**2 - 40*p - 1. Factor v(i).\nAnswer: -3*(i + 2)*(i + 6)*(i + 46)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/68190*(-106849)\/2. Let r = 3\/4546 + a. Find the common denominator of 214\/(-12) + (-2)\/3 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9261*i**4*n + 2*i**2 - 3628*n wrt i.\nAnswer: -222264*i*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/172104 and -69\/573680?\nAnswer: 1721040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of w**5\/20 + 5*w**4\/6 - w**3\/3 - 7*w**2\/2 - 47*w. What is s(-10)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of -8*l**4 + l**3 + 4*l**2 + 44. What is the third derivative of k(v) wrt v?\nAnswer: -192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3666 divided by 1717?\nAnswer: 3666\/1717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 4*n - 3*n = 28, -g - 5*n = -26. Let y(q) = -q - g - q + 3*q + 5. Let t(j) = -6*j + 7. Give t(x) + 5*y(x).\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -12284613, -12284617, -12284621, -12284625, -12284629, -12284633?\n\"Answer: -4*x - 12284609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 233 in -75, -5, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (sqrt(52)\/sqrt(4) + sqrt(13))*3) + -1 + sqrt(117).\nAnswer: -2*sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-314352)\/45288)\/(1 - 54\/51)?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19784\/35 - 2822\/5. Factor -6\/7 - b*k**3 - 18\/7*k**2 - 18\/7*k.\nAnswer: -6*(k + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 5*g - 1. Let h be a(1). Let u be (-12)\/(-20) + (-864)\/(-60). Suppose -u = k - 10. Sort h, 3, -2, k in increasing order.\nAnswer: k, -2, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -528 - -526. What is the closest to 4 in c, 1\/4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/69)\/((-11)\/((-1265)\/(-10)))*55\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28966?\nAnswer: 2, 7, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + 0. What is the greatest common divisor of h and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -40 + 39. Which is greater: -1\/23 or a?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 96*b**3 - 56*b**2 + 2*b - 47849 wrt b?\nAnswer: 288*b**2 - 112*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.24 + 0.36. Which is the closest to p? (a) 5 (b) -2\/5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -55 or -1240\/23?\nAnswer: -1240\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(847) + sqrt(847))*4 - (sqrt(847)*-2 + -3)) + 6*(sqrt(847) + 3*sqrt(847))**2*6.\nAnswer: -22*sqrt(7) + 487875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-4 + (sqrt(11) - (1*sqrt(704) + sqrt(704) + sqrt(704))**2)).\nAnswer: -4*sqrt(11) + 25360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((9\/(-36))\/(2\/(-6)))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 555637?\nAnswer: 555637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 971020?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/6 and -149\/4956.\nAnswer: 4956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/4*(3\/(-9) + -1)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8096524*s**3 - 2*s**2 - 49487753 wrt s.\nAnswer: -24289572*s**2 - 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32 + -37. Let t(q) = -q**3 - 6*q**2 - 6*q. Let k be t(d). Solve 0 = k*x - x + 20 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 i when four letters picked without replacement from iicjiiijjjjicijccicj?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1641)\/126 - (-2 - 0). Let s = 76\/7 + p. What is the second smallest value in 0, 0.1, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000114211336 rounded to 7 dps?\nAnswer: -0.0001142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 2*l = -171, 0 = l - 0*l. Let w = -37 + n. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 186, 54 in decreasing order.\nAnswer: 186, 54, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11702 rounded to 2 dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 780523*w**2*y**3 - w**2*y**2 + 30*w**2 - 2*w + 773 wrt y.\nAnswer: 4683138*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2054 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7953.6 - 7954. Let i be (-2)\/4 - 13\/(-18). Which is the closest to -0.02? (a) 2\/5 (b) x (c) -4 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 93 and 772.\nAnswer: 71796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/16677, 4, -1, 2\/9 in descending order.\nAnswer: 4, 2\/9, 2\/16677, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 5*y**2 - 8*y - 14. What is the remainder when n(-7) is divided by 1*4\/(-14) + (-2712)\/(-84) + -3?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 592 by 2.\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z + 9*z + 123 = 2*c + 11*z, -14*z = 4*c + 354 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 503733225 to the nearest integer?\nAnswer: 796","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - -144?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9087 and 2405?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 8198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -121.3?\nAnswer: -363.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4256779?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 35112*o**2 + 324*o - 16 wrt o?\nAnswer: 70224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*k = -367*k - 88*k + 4613987. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3067062530.\nAnswer: 2, 5, 7, 43815179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14\/15 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1\/3, -0.1, 3 in ascending order.\nAnswer: -1\/3, -0.1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2267, 4673, 7079, 9485?\nAnswer: 11891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 0)*(0 + 2*j + 0)*(-4 + 0 + 2).\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 133*b**2 + 348*b + 2. Determine c(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4 + 2*(sqrt(304)*-1*4 + (-1 + (sqrt(304) - (-1 + sqrt(304))) - sqrt(304) - sqrt(304))**2 + sqrt(304))).\nAnswer: -72*sqrt(19) + 7308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2675 divided by 535?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4817, 9486, 14155?\nAnswer: 18824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = z - 87. Suppose 0 = 6*m - 0*m - z. What is the units digit of -201*(2 + (-28)\/m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 - -2. Let t be 7\/u*(2 - 12). Let s(h) = -6*h + 6. Is s(t) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/3 - 1\/(-3). Which is the second biggest value? (a) d (b) -2\/3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -85*k + 362. Give l(4).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -103 - -70 - -82 - -28?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-14)\/35)\/(2 - 153\/75). Suppose -61 = -b*j + 99. What is the least common multiple of j and 18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11698454587 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 176 + -167. What is the highest common factor of 963 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j**(4\/5))\/j)**(-2\/27)\/(j**(1\/3)*j*j**(2\/9)) assuming j is positive.\nAnswer: j**(-76\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (33\/21 + (-4)\/7)*0. Solve 7*m - 2*m - 5 = j for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 AM and 11:29 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9320 + 18639\/2. Let m = -4136\/13 - -318. What is the fourth smallest value in 2\/19, m, -3\/7, o?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-570 - 16)*(-4)\/8 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/18 and -17\/78.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -45.3 + 45.8. What is the closest to m in 5, 1, 0.3, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*d - 2 - 3671*d**2 - 3651*d**2 + 7304*d**2 + 4.\nAnswer: -2*(d - 1)*(9*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 71, 124, 189, 266, 355?\nAnswer: 456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -29080 and -0.116.\nAnswer: -29080.116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*p + 1 + 1 - 19*p - 25*p - 4 - 2*p**3 + 2*p**2 as i*p + n + d*p**2 + u*p**3 and give i.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (12\/240)\/((-15)\/(-35) + 10\/(-56)). Which is the third biggest value? (a) -1 (b) j (c) -3.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r + 29. Let f be q(-11). Let t = f + -29. Calculate the remainder when 76 is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208097484227 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 6:03 AM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*q**2 - 1699300*q + 144381024500 = 0. What is q?\nAnswer: 169930","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/15 of a decade?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -17.6 * -0.1\nAnswer: 1.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (7 - 4) + (-5)\/(-1). Let c = 15 + k. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 271776983 to the nearest 1000000.\nAnswer: 272000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 266299 to the nearest integer?\nAnswer: 516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -39531, 14, -2\/7, -4, 0.33 in descending order.\nAnswer: 14, 0.33, -2\/7, -4, -39531","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 80*v**2 - 27*v - 70*v**2 + 29*v**2 - 131*v**2 - 82*v**2 wrt v?\nAnswer: -348","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 616*u + 104036 = -74*u - 101*u - 48*u for u.\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -10*y + 5. Calculate x(7).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, o: 1, d: 2, q: 2, k: 1, r: 1}. Give prob of picking 1 q, 1 o, 1 r, and 1 k.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -721 + 687. Is -4 less than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 61, 15, -21, 2, -4, 3, 20.\nAnswer: -21, -4, 2, 3, 15, 20, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.33*0.026.\nAnswer: 0.00858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 473 is divided by (-17)\/(-6) + -2 + (225131\/114)\/17.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 0.8. Let h = -4.8 - i. Which is the nearest to -0.1? (a) h (b) 1\/9 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 15*p + 8. Let h be (-6)\/(-9)*(104 - 113). Let r(k) = -31*k - 15. Give h*r(w) - 11*g(w).\nAnswer: 21*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 64 and 8.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, l: 1, w: 1, o: 3, p: 1}. What is prob of sequence olo?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -166128818 rounded to the nearest 100000?\nAnswer: -166100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -2*sqrt(272) - sqrt(272) - sqrt(272))**2 + sqrt(425) + -2 + -4 + 1.\nAnswer: 133*sqrt(17) + 4363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02547, 2.3, 9, -4.\nAnswer: -4, 0.02547, 2.3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-9 + 2) - (1752\/730 + (-426)\/(-60))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2890154, -5, -0.3 in increasing order.\nAnswer: -2890154, -5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 8. Let c(r) = -r**2 - 6*r - 1. Let k be c(a). Suppose 12 = k*j - 3*j. Calculate the remainder when 34 is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9 - 29c?\nAnswer: -2a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -42211335 + -2?\nAnswer: -42211341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 - 29*v + 293. Let s be w(7). Suppose -4*b + 7*b - 21 = 0. Solve 13 - s = b*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 8:40 AM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*j**3 + 3*j**5 - 4*j**3 + (2 + 0 - 4 - j)*(j**4 + 2*j**4 - 5*j**4).\nAnswer: 5*j**5 + 4*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of 61*m**8\/168 - m**5 - 67*m**2 + 1. Find the third derivative of j(r) wrt r.\nAnswer: 7320*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -1ab1?\nAnswer: -1ab1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -33*c + 70. What is y(8)?\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -684.14905 to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 93630.1059 to the nearest 100.\nAnswer: 93600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wvww when four letters picked without replacement from wvwwwwwwvwww?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/3 + 23\/6. Let o = -5 + h. Suppose 2*b = -k + 5, 6*k - 2*b = 4*k + 4. What is the smallest value in o, -0.2, k?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*f**2 - 3*f**2 - 9*f**2 + 611*f - 215*f + 18*f**2 in the form c + d*f + w*f**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 + 4*r - 2. Let n be s(3). Suppose -n = -z, 5*w + z = 6*z + 80. List the prime factors of w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1154 at least as big as 1148?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/16 and 107\/882220?\nAnswer: 3528880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 10810 and -341 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + 23*r - 307. Determine g(-32).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 44965419341 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 2\/7, -0.1, -1279?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - ((1 - -1) + 11). Let w be (189\/(-35))\/(3\/k). Let d be (-12)\/(-8)*(-3)\/w. What is the nearest to -1\/3 in d, 0, 3\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 334781244 by 18.\nAnswer: 18598958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-60)\/15*(-9)\/2. Let p = 30 - o. Let n = -42 - -78. Calculate the smallest common multiple of p and n.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/7761112 and -43\/3880556?\nAnswer: 7761112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in six fifths of a centimeter?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6*-56.2\nAnswer: -337.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 984 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 60\/(-160) + 1 + 593\/(-360) and 10\/3.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(63) - (sqrt(63) + sqrt(63)*4*6) - -4*sqrt(847)*1) + 5)**2.\nAnswer: -280*sqrt(7) + 5513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 271452.\nAnswer: 2, 3, 22621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -64 - -68. Let m be ((-4)\/20)\/1 + 2482\/10. Suppose -2*g = -a*g + 5*r + m, r = -4. Calculate the remainder when g is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 910 divided by 70?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 17\/4 of a day?\nAnswer: 6120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 4*x**2 + 3*x - 36. Let r be 20\/(-15)*(-30)\/4. Is 21 a factor of t(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*h - 31*h. Suppose h = 5*p + j - 54, -4*p - p = -4*j - 59. Suppose -l = 5*q - 0 - 6, l - 33 = 4*q. Calculate the remainder when l is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -231 and -0.124341.\nAnswer: 28.722771","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 508 + 0*((-20)\/15 + 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s**2 - 30771*s**3 + 10212*s**3 + 10212*s**3 + s**2 + 10272*s**3.\nAnswer: -75*s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 - 5*n + 10. Let p be r(-7). Let i be (2\/p)\/(9\/(-90)). Solve -u = 3*z - i*u + 11, -2*z - 2*u + 2 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 3*q = 82 - 87, 4*q = 4*p + 28 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 25*v - 345. Give i(34).\nAnswer: 505","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1031 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -43410638.4 rounded to the nearest one hundred thousand?\nAnswer: -43400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*c**4 - c**4 - 9*c - 4*c**4 - 4*c**4 + 52 + 139*c**2 wrt c.\nAnswer: 84*c**2 + 278","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160 = -106*b - 313 - 165 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-2)\/3)\/(-3 + (-56)\/(-21))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140568 is divided by 180.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 3:51 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-110*g - 164*g + 640*g)*(2*g**2 - 2*g**2 + g**2 + (-1 - 2*g + 1)*(1 - 1 - 2*g)) as a*g**2 + z + m*g + c*g**3 and give c.\nAnswer: 1830","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9437 is divided by 236?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of -9*a**5\/20 + a**4\/6 - 19*a. Suppose -5*p = 4*u + 25, -3*p + 2 = -0*u - u. List the prime factors of i(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1980 a factor of 14150526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 4*n - 3*m, -3*n + 8*n - 15 = -5*m. Suppose -n*s - 12 = -37. Solve 2*z = s*z - 15 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1358102494 a multiple of 1747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 482519629?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - z = -3, 0*z = -5*k + z - 3 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (43 - 17)*1\/2. Suppose 2*l = -u*l + 195. Calculate the remainder when 103 is divided by l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 - 10*t - 74. What are the prime factors of a(-30)?\nAnswer: 2, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6392 is divided by 81?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 12006053 = 12006054?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 + 3*t + 51. Let u be l(-5). Let j(n) = -n**2 + 8*n - 2. Let k(v) = 2*v**2 - 15*v + 3. What is u*j(x) + 6*k(x)?\nAnswer: x**2 - 2*x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 - 4*b + 1. Let j be q(-3). Suppose -20 = -2*n - 3*n + r, j*n - 16 = -5*r. Solve -7*a = -n*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/(-10))\/(8\/(-20)). Find the third derivative of -y*b**2 - b**6 - b**6 + b**6 wrt b.\nAnswer: -120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12383422?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (7016 - 9) + ((-22)\/(-33))\/(6\/9).\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 35054 and 157743?\nAnswer: 315486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -5*y + 23. Suppose y*u - 92 = 6*u. What are the prime factors of u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - (-559)\/39)*1\/(-6).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.1 (b) 1\/6 (c) -2.58 (d) 3754 (e) 5 (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 238238185?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -34029 - -34140. Solve 12 = -123*a + f*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 107210 + 46781. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 67\/540 - 2\/27. Let q(x) be the second derivative of -5\/6*x**3 - 3*x**2 - x + 0 + 1\/3*x**4 + p*x**5. What is q(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/5*w**2 + 9*w**4 + 0*w + 21\/5*w**3 + 27\/5*w**5 + 0.\nAnswer: 3*w**2*(w + 1)*(3*w + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h - 45. Let a(p) = -p - 22. Determine 5*a(l) - 3*f(l).\nAnswer: -2*l + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2411175 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 47b (base 16) in base 15?\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 34 divided by -3383\nAnswer: -2\/199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1\/3, 2\/59, -1\/9, 2.41?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 PM and 1:12 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/((6\/298)\/3). Let v = s - -95. Calculate the remainder when 14 is divided by (-4)\/10 + v\/(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1358 and 2954.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + -8. Suppose -b - o + 6 = 0, -b = -5*o + 33 - 9. What is the smallest common multiple of b and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 8 - 1 = 0, p + 4*h - 16 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(-72)*3*4\/(-2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1012200200100 - -1021220?\nAnswer: -1012122101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 PM and 3:20 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/1453 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (27\/12)\/(12\/(-32)). Let c be (2 + i - -1)*-1. Solve -2*d = c*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159011 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 374 = 2*u + 380, u - 7 = q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1698*u = 1390 + 3745 + 6751 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + 5)*5\/(-2). Is (-4 - -7)\/((-5)\/w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 6, n: 2, s: 5}. What is prob of picking 1 s, 2 n, and 1 x?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -3*o - 11 + 32, -4*o = -5*p - 28. Let z be 4\/o + 40*(-7)\/(-196). Determine a, given that -z*a**4 + 4\/7*a**2 + 2*a**3 + 0 + 0*a - 24\/7*a**5 = 0.\nAnswer: -1, -1\/4, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r + 6*r - 12 = 0. Let w be (r\/((-32)\/12) - 11)*-6. Which is smaller: 58 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 1188*t**3 + 2 + 8623*t**3.\nAnswer: 7435*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*3\/(-27)*(-624)\/416.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - 6*k**2 + 8*k - 7. What are the prime factors of o(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 2068*d - 1497*d + 130*d**2 - 2 + 4808*d.\nAnswer: 130*d**2 + 5379*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jxv when three letters picked without replacement from osononvsnojnxovnoon?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 3 k when four letters picked without replacement from kbgdbkkk?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - (6 + 11) - (1 - -8)) + (4 - 0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5040 + 5248. Calculate the remainder when 635 is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**2\/7 - 1477089408*p\/7 + 136362069951611904\/7.\nAnswer: 4*(p - 184636176)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/15 + (-2)\/(-5). Suppose -4*o + 3*x = 13, x + c*x + 21 = -5*o. Let h be ((-6)\/(-9))\/(o\/(-30)). Solve -h*z = -z + 16 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1152 + 3\nAnswer: -1149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**3\/4 - 756*z**2 + 162979*z\/4 - 156927\/2 = 0. What is z?\nAnswer: -3077, 2, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.094101 rounded to five decimal places?\nAnswer: -0.0941","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -5. Let c be 1 - 75\/(-6)*f. Suppose 0 = 4*n - 122 + c. Is n a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, -2\/5, 16788, 3, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-45)\/4)\/15*(-2)\/(-2)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 6340142 - -51568\nAnswer: 6391710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -126 - -175.8. Round j to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + s = -3, -5*y - s = 4*s - 30. Suppose 6 = -2*t - y*a, t - 6*t = 5*a + 5. Suppose t*u - 127 = 2*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1747244 > 1747001?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 - -7) + 2*2. Let n be (-2)\/(-7) - 2\/m. Let o(b) be the second derivative of b**5\/20 - b**4\/12 + b**3\/6 - 11*b**2\/2 - 530*b. Calculate o(n).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5192 + 5189. Which is the smallest value? (a) -0.2 (b) z (c) 0.17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(6\/32))\/((-2)\/1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1180000 rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b30c (base 16) to base 4\nAnswer: 23030030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 135271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -14043736 divided by 76?\nAnswer: -184786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7858 is divided by 862.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23578?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 667392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+0.05\nAnswer: 0.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 311356398 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**4\/7 - 36*n**3 - 7682*n**2\/7 + 2304*n - 8192\/7.\nAnswer: -2*(n - 1)**2*(n + 64)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 10*x - 2. Let r(j) = -43*j**2. Determine z(r(y)).\nAnswer: -430*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 17307?\nAnswer: 17310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(5*(-14)\/(-105))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*j**2 + 23 - 20 - 25)*(3 - 1 + 1)*(0 + 5 - 4) in the form x + w*j**2 + r*j and give x.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -3 - (4 - -3) - 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 74.17477ml?\nAnswer: 0.07417477","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 63559, 0.1, -2\/7?\nAnswer: 63559","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -33 - -63. Let a be 1 + 2 - b\/10 - -5. Suppose -3*q + q + 2*n = -4, 5*n = -a*q. Solve 0*d = d + q for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (l**2 - 1 + 1)*(2 + 1 + 5) + (0*l + 0*l + 2*l)*(3*l - 2*l - 4*l) to p + a*l + i*l**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*v - 99 = 6*v. Let r(z) = 34*z**2 - 17*z**2 - v*z**2 - 16*z**2. Let u(y) = 10*y**2. Determine r(u(a)).\nAnswer: -1000*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/265 and -111\/530.\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/(p\/(p**(-1)\/p)))*p)**(2\/15)*p**(-1\/17)*p\/(p*p\/p**(-4\/9)*p))**(-11\/7) assuming p is positive.\nAnswer: p**(16577\/5355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1249*j + 1190*j + 234938. What is the hundreds digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -85507768 - -17680?\nAnswer: -85490088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - 18*s**2 + 40*s + 5. Let a be d(-20). Is 10 a factor of -6 - (-47 + a - -6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.7 - -0.8. Let o = 133.16 - 133.2. Which is the closest to w? (a) 1\/2 (b) -5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3\/5)\/(l**(-4\/5)\/l))**(-29)*(l\/(l**1\/l)*l\/(l*l*l\/l**(4\/9))*l)**(4\/37) assuming l is positive.\nAnswer: l**(-57862\/1665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 10*i + 2. Let m be c(-2). Let n be 508349460\/m + 1\/(-3). Let z = 20141637 + n. What is z rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxxx when four letters picked without replacement from {c: 2, x: 5}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1\/3 (b) 3 (c) 9 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 798*k**2 - 138 + 74 + 64. Let o(y) = 2*y**2. Give o(d(v)).\nAnswer: 1273608*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -0*p + 4*p + 26, -4*p + 4*g = 16. What is the lowest common multiple of (-12)\/18 + (-16)\/p and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77b7b (base 12) in base 11?\nAnswer: a944a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/(-30)*(-2 + 12). What is the first derivative of 4*s**3 + l*s**3 + 12 - 29 wrt s?\nAnswer: 24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + -10. Let d(x) = -11*x**2 + 1. What is d(a)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-21))\/(0 - (-28)\/(-12)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45 and 255?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -15 + 13 - 1*-3. Let w be 1\/(2\/3616) + v. Suppose -4*a + w = 5*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 - 23 - 16*y**2 - 6*y**2.\nAnswer: -22*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rnzrn. Give prob of sequence znrn.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, m: 14}. Give prob of picking 3 y.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 223014401 (base 5) in base 9?\nAnswer: 1761882","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilometer in centimeters?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/6 and -34\/35045385.\nAnswer: 70090770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -69?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 46 - 22. Suppose 2*r - 8*r = -l. Solve -5*u - r = 2*i, 3*u - 2*i = -3*i - 2 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -9*t**3 + 10*t**2 - 9*t**2 - 1 + 4 + 3*t - 11*t**3. List the prime factors of l(-2).\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -d**4 + 2095*d**3 + 9756474*d**2 = 0?\nAnswer: -2247, 0, 4342","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30380.\nAnswer: 2, 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -208?\nAnswer: 62.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(2\/7)*g)\/((g*g**(3\/7))\/g))**35)**(-20) assuming g is positive.\nAnswer: g**(-600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t**2 + 5*t - 15. Let m be g(5). What is the second derivative of -2*v**5 - 157*v - 91*v + 0*v**5 + m*v + 8*v**4 wrt v?\nAnswer: -40*v**3 + 96*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 + 64?\nAnswer: 5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - -b49a1?\nAnswer: b49a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of -193\/20*w**5 + 0 - 1\/2*w**2 - 17\/6*w**3 + 0*w**4 + 87*w. What is the second derivative of o(i) wrt i?\nAnswer: -1158*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 36765 * 0.89.\nAnswer: 32720.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/9 of a day?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-41)\/((-2214)\/108)*1\/(-19)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 0*p = 6680. Round p to the nearest one hundred.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 207 + 12. List the prime factors of o.\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of u**8\/28 + 29*u**6\/30 + u**4\/6 + 3*u**3\/2 - 2*u - 21. What is the third derivative of b(s) wrt s?\nAnswer: 240*s**3 + 696*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*p**3 - 32*p**3 + 61*p**3.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.3 - 3. Let y be 1*-4 + (-180)\/54 - -7. Which is the closest to -1? (a) -5 (b) y (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/(-6)*6\/2. Let x(w) = -3*w**3 - 4*w**2 + 2. Let v(u) = 5*u**3 + 7*u**2 - 3. Determine s*v(h) - 7*x(h).\nAnswer: h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from shhmmmzzm. Give prob of sequence ms.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 3*y + 6 = b, 3*b - 3*y - 18 = 0. Solve 3*w = 2*w - b for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a*n**2*t**2 - 133*a*n**2 - a*n*t**2 + 2*a*n*t - 31*t**2 wrt n.\nAnswer: 2*a*t**2 - 266*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -4*t**2\/3 + 400*t\/3 - 10000\/3 = 0.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 783866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 138648893 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9484970101 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -1, -3, 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138 is divided by 65?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4833 + -4832. What is the remainder when 1787 is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.34 * -31456529.\nAnswer: 10695219.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/8 and (-3)\/2 + 6 + (-92)\/(-96).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*2\/10)\/(64\/(-40))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.7 + 4.7000076. What is b rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(-5)\/t)*t)\/t**(3\/2))\/(t**4)**(2\/173) assuming t is positive.\nAnswer: t**(2233\/346)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34 by -40.\nAnswer: -17\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 7\/5 (b) -1.2 (c) -3\/2 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/4 + 4\/40*35. Let g be (3\/b)\/((-26)\/16 + 2). Let o = 19 - 2. Solve -3*q - o = -g for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-30 + 4 - 12)*(0*x + 3*x - x) to the form t*x + w and give t.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2\/26741 - -6230667\/187187. Let o = 28 - 61. Let c = f + o. Is c smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 590.\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 10 + -4 + -2 + -7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + 1. Let z = 12 - o. What is the tens digit of 54\/z - 2\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 3*b. Let h(z) = -8396*z. Give h(w(f)).\nAnswer: -25188*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (366 - -1091121)*(-1)\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-225)\/15)\/(-3*3\/27) and 190?\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (24\/(-10))\/(27\/(-90)). Calculate the remainder when 72 is divided by 3*x + (-1 - -2)*-2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 18*t**2. Let y be -4 + (468\/65)\/((-2)\/(-295)). Let a(x) = -y + 1058 - 2*x. Determine o(a(z)).\nAnswer: 72*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1063, -4010, -8901, -15736?\nAnswer: -24515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 246? (a) 2\/11 (b) 1 (c) 6\/11 (d) -3 (e) 5\/2 (f) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 52\/(12688\/(-3599)) - ((-6)\/(-18))\/(4\/3)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + 3\/(3\/(-13)). Let j = -14 + 17. Suppose 2*g - 11 + 45 = 4*m, -j*g - 5*m - 40 = 0. Is v at least g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - b - 8 = -40, 2*b + 8 = 0. What is the least common multiple of 2 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 e, and 2 f when four letters picked without replacement from {k: 2, f: 3, b: 4, e: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 330*i = -409*i - 2759 - 1675 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 128 = -5*z. What is the remainder when (-9)\/(-3 - z\/(-12)) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -50865 to the nearest 100.\nAnswer: -50900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 + 2)\/(6\/39). Let t(j) = -3*j - 28. Let r be t(w). Let i = r - -1. What is the highest common divisor of 60 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of -d**5\/60 - d**4\/12 - d**3\/2 + d**2. Let y = 8 - 1. Let o = -10 + y. Give k(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 9189\nAnswer: 9185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*g - 3*g - g + (4 + 0 - 3)*(0*g - 5*g + 3*g) + 2*g + 3*g - 3*g + 8.\nAnswer: -9*g + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (64*(-29)\/22040)\/(8\/(-30))?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 2*x + 1, h - 5*h - 4*x = 0. Let f be (50 - 2)*h\/(-3). Suppose -4*t - f = 0, 2*b - 2*t = -4*t + 58. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 600 by -6403.\nAnswer: -600\/6403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -81732684, -163465365, -245198046?\nAnswer: -326930727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + 9*t**2 + 8*t + 7. Let j = -24500 + 24496. What is d(j)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -9495056\nAnswer: -1\/9495056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 232091 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-17)\/(-5) + 30\/50 + -1. Find the third derivative of 55*a**2 + 19*a**3 - 45*a**g + 22*a**3 + 34*a**6 wrt a.\nAnswer: 4080*a**3 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*(2 + 9 + -1). Calculate the remainder when 408\/30 + 2\/5 is divided by o\/(-4)*(3 + -5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3876.0388 to one decimal place.\nAnswer: -3876","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -38*c**2. Let v(a) = -11*a + 34. Determine v(p(t)).\nAnswer: 418*t**2 + 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 758 and 126965?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -434 + 434 - 178238*a.\nAnswer: -178238*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 6 = 3*b. Suppose -2 = -b*j + 30. Calculate the remainder when 62 is divided by j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v - 50 = -2*k - 6*v - 2*v + v + v, 45*k + 5*v = 345 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3\/2 + 3999*z**2\/2 + 667332*z + 665334.\nAnswer: 3*(z + 1)*(z + 666)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -419214\/185 + 2266. Let m = k - -197\/555. Determine f, given that -4\/3*f**2 - m*f**4 + 0 + 4\/3*f**3 + 0*f = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 6, v: 4, e: 5}. Give prob of sequence ppvp.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3645\/27*33\/891.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.010665 - 5.778946. Let j = -5.79 - v. Round j to five dps.\nAnswer: -0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -188 - -180. Let k be -7 - -3 - -1 - d. Solve k*n = 7*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 622 + -3109\/5. What is the second biggest value in p, -4\/5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.10484171057 rounded to two dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 13 = 2*t - 3*w, t = -w + 2. Let b(d) = 24*d + 48. Does 12 divide b(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15.37 - 22.61. What is y rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1641, 1638, 1633, 1626, 1617, 1606, 1593?\n\"Answer: -c**2 + 1642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, l: 1, y: 3}. What is prob of sequence yyl?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 2247.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1242 - 4?\nAnswer: -1246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -58\/693 and 53\/189.\nAnswer: 2079","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-2*sqrt(304) + sqrt(304) + -1*sqrt(304) + 4)**2.\nAnswer: 192*sqrt(19) + 10960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7368 - 2765. List the prime factors of u.\nAnswer: 4603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 11772348 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10782779309 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h**3 + 6*h**3 + 8*h - 5*h - 2*h**3 - 30*h.\nAnswer: h**3 - 27*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mtxt when four letters picked without replacement from tmtxxxmxxxmxmttxtxx?\nAnswer: 25\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z + 0*z - 150*z**3 + 30*z**3.\nAnswer: -120*z**3 + z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -a, -106*a = -82*s + 98*s - 111*a + 82 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (185 - 182)\/(1 - (-15)\/2)?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -1\/4*t**2 - 625\/4 + 25\/2*t = 0.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 4*t - 4, r = -t - 0*t + 6. Suppose -3*n + 14 - 5 = 0. Suppose 5*m = n*j + 27, 5 = -3*m + 5*j + 18. What is the lowest common multiple of t and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.675157 millilitres to litres.\nAnswer: 0.007675157","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 108703, 218022, 327341, 436660?\nAnswer: 545979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t - 80327 + 80327.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12817, -12840, -12851, -12844, -12813?\nAnswer: -12752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 300\/11, 27, -2, 28, 0.9.\nAnswer: -2, 0.9, 27, 300\/11, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -0.5, -1\/4, 4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -26\/5? (a) 5\/6 (b) -3\/2 (c) -4\/5 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(3 + (sqrt(833) - sqrt(833)*2) + sqrt(833)*2*-2))**2*5.\nAnswer: -37800*sqrt(17) + 3750120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1288\/28*(10\/(-300)*6)\/((-8)\/60)?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, q: 1, k: 4, i: 6, g: 4, u: 2}. Give prob of picking 1 g, 2 i, and 1 q.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -2*o + 30. Calculate the greatest common divisor of o and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 177005700 divided by -1539180?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c**2. Let n(j) be the first derivative of -41*j**4\/24 + 19*j**2\/2 - 3. Let w(t) be the second derivative of n(t). Calculate w(h(d)).\nAnswer: -82*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k + 6084 = 5952. Let p(f) = -14*f - 159. What is p(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pcggooddpddpccpdc. What is prob of sequence gc?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -7372 divided by -7372\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (318\/530)\/(9\/30)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -8, 266 in decreasing order.\nAnswer: 266, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23683.\nAnswer: 11, 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9248 - -9248. Let b = -0.8 + -0.2. Suppose -k + 2*i = -3*k, 0 = 3*k - 4*i - 14. What is the biggest value in -3, u, k, b?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1077*z**5 + 8884*z + 1585*z**5 + 4760*z**5 wrt z.\nAnswer: 148440*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1068583027 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 - (0 + -5 + -16).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 2 e when four letters picked without replacement from lebebl.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*b = 2*i - 5*i - 1734 - 2547, 0*i = -3*i + 1337 - 1343 for b.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of -z**3 - 4*z + 3*z - 2 + z. Let a(q) = -2*q. What is a(g(y))?\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3415, 7000, 10583, 14164, 17743?\n\"Answer: -q**2 + 3588*q - 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 PM and 5:46 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4725 a multiple of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-2)*(-9 - 7). Let g be 36\/s - (5\/2 + -2). Which is the nearest to -2? (a) 3\/5 (b) -0.2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2. Let s(u) be the third derivative of 0*u**4 + 0 + 3*u**2 + 1\/2*u**3 - 4\/15*u**5 + 0*u. What is g(s(x))?\nAnswer: -256*x**4 + 96*x**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4 = -c - 1, 4*c + 2*q + 20 = 0. Suppose 4*k - 2*i + 23 = -i, -4*k - 5*i - 53 = 0. Is k <= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 21305.\nAnswer: 3\/21305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 209767 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -3, 11447, 591\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46 and 7291?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39067 is divided by 296?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f**3 - f**2 + 17*f + 30. Give y(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -26*l + 9*l - 69 + 13*l. Let m be s(-20). Suppose m = -j + g + 3*g, 0 = 5*j + 3*g + 9. What is the nearest to j in -1\/2, -2\/17, 3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m**2 - 5*m - 2. Let w be 10\/(-75) - 163\/15. Let j = w + 8. Give g(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzccczn. What is prob of sequence ccn?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5}. Give prob of sequence zzzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10781 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*c**5 - 6192*c**4 + 56222*c**3 - 144916*c**2 + 79104*c + 15808 = 0.\nAnswer: -247, -2\/13, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -14e6 + 40?\nAnswer: -14a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -63041305 divided by 277715\nAnswer: -227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -205, -695, -1511, -2653, -4121?\nAnswer: -5915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -47 - 72 - 32*p**4 - 30*p**4 + 10*p**2 + 61*p**4 to the form k*p + c*p**3 + g + s*p**2 + f*p**4 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x. Let p(t) = 10*t**2. What is k(p(n))?\nAnswer: 20*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*f + 4. Let l(t) = t + 3. Let p be l(-2). Is p less than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(3\/3)*-1. Suppose -h = -l + 1. Solve -4*c - h = -c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (3*-2*sqrt(204)*-1)\/(sqrt(108)\/(sqrt(720)\/sqrt(5))).\nAnswer: -3 + 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 + 4*v + 2. Let z be u(-4). Suppose -2*q + 5*p + 47 = z*q, -2*q - p + 27 = 0. Let c = -51\/4 + q. Sort 4, c, 1 in descending order.\nAnswer: 4, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*q**2 + 40 + 134 - 10*q**2 + 4*q**2 + 39 as x*q + o + d*q**2 and give o.\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -133 at most as big as -133?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 6 - 1)*(-f + 0*f - f)*(-15*f + 15*f + 3*f**2).\nAnswer: -24*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t**2 + 2*t**2 + 4*t**2)*((6*t**2 - 2*t**2 - 2*t**2)*(3*t + 4*t - 6*t) - 6*t**3 + 9 - 9).\nAnswer: -8*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -104348.7809 and -4.24.\nAnswer: -104353.0209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 - 7*z - 7. Let a be i(-6). Let h(r) = -9*r**3 + r**2 + r + 1. What are the prime factors of h(a)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14757, -14752, -14747, -14742, -14737, -14732?\nAnswer: -14727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -4*n + 2. Let v be l(2). Let d be 8*(-3)\/v + -3. Suppose 3*r + 2 - d = -2*h, 0 = 2*r + 2*h + 4. Solve 6 = j - r*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of -d**4\/24 + 4*d**3\/3 - 2*d**2. Let i be o(6). Suppose -2*v - 6 = u, 2*v = i*u - 4 - 2. Solve u*r = -r - 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 5 (c) 0.4 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 21*w + 7. What is h(2)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 3*h**2 - 51*h + 30. Let z(v) = -2*v**2 + 34*v - 20. Let d(b) = 5*s(b) + 8*z(b). What is d(8)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 7*x**2 - 11*x - 8. Is t(6) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -54, -2496, 3 in increasing order.\nAnswer: -2496, -54, -13, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 44\/14 + ((-175)\/(-637) - 8\/(-52)). Is -8 less than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1505041957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.21 (b) 1\/9 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w + 6 = 13*w. Let s = -130 - -10. Let t = -72 - s. Calculate the greatest common factor of w and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -863000 to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.8928 + -1.1072. Let w = 632\/7 - 90. What is the closest to w in 4\/15, 1, c?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -8*o**2 + 468*o + 1207. What is c(61)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 65 and 0.6521.\nAnswer: 65.6521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 + 15*p - 13. Calculate o(-16).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l + 840 = 894. Solve -2*j - l = -n, -4*j - 5*n + 0*n = 25 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/40 and 101\/264448?\nAnswer: 1322240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30 - 9. Suppose 5*o = -p + 2*p + l, -4*o + 12 = -2*p. Solve 4 = 2*q - p for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (134 - 82) + -48 - (1 + -23 + 0).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 258794?\nAnswer: 2, 83, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -1 + (13 + -13 - -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4043622.\nAnswer: 2, 3, 11, 197, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2964*5.\nAnswer: -14820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 3. Let y(f) = 10*f - 60. Let l(x) = -75*s(x) - 5*y(x). Is l(-16) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, v: 4, b: 2, t: 8}. Give prob of picking 1 b and 1 v.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4\/2 + 3*q**2\/2 + q.\nAnswer: -q*(q - 2)*(q + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00025664 rounded to five dps?\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4718555um to kilometers.\nAnswer: 0.0000000004718555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/80)\/(12\/54*(-9)\/(-12))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 1189*w - 4752. Let g be k(4). Solve 922 = -g*i + 958 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.001 - -0.609. Let t = w + -0.41. Let x = -93.5 - -94. What is the fourth smallest value in 5, x, -0.5, t?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/10 + -1)*12\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2 + 642*d + 640.\nAnswer: 2*(d + 1)*(d + 320)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.017 times -3708?\nAnswer: 63.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2480 is divided by 191.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 9*y. Let t(q) = 4*q + q + 5*q - 5*q. Give 6*p(f) - 11*t(f).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8805.3 - -8806. Which is the closest to 1? (a) f (b) 0.3 (c) -0.3 (d) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 2793*s - 2795*s = -47, -4*s = 2*v - 54 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1))**(-33\/5)*(d**(-1))**(-3\/2))**(21\/4) assuming d is positive.\nAnswer: d**(1701\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r**2 + 20*r - 30. Let p(x) = 8*x**2 + 64*x - 96. Let u(y) = -16*g(y) + 5*p(y). Let m(j) = 4*j. What is u(m(s))?\nAnswer: -128*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - x + 12 = 0, -2*b = -x - 1 - 7. Let t be 2*(2 - 10\/b). Is -3\/4 smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1214175.\nAnswer: 3, 5, 16189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 101250 and 366255.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(64) - sqrt(16))\/sqrt(8) - 2*(sqrt(2) - sqrt(12)\/sqrt(6)) - (sqrt(128)*-3 - sqrt(8)\/(sqrt(4) + 1*sqrt(4) + sqrt(4))))**2.\nAnswer: 11552\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*c = 268*c - 136*c + 1275 for c.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 + 7*i**2 + 5*i + 5. Let w(r) = r**2 + 5*r - 5. Let l(p) = -p - 9. Let x be l(-4). Let h be w(x). Does 15 divide z(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -252 + 273. Calculate the greatest common factor of 567 and i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z - 2 = 11*z. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7860 and 480.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 3910\nAnswer: -3910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4637069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -650, -5, -2\/5, -3\/5, 0.03 in descending order.\nAnswer: 4, 0.03, -2\/5, -3\/5, -5, -650","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 - 53*k**2 + 104*k - 121. Give g(51).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b9995b + -1?\nAnswer: b9995a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 23225 + 6?\nAnswer: 23231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3430917823 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) -2\/19 (c) -65 (d) 0.07 (e) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 13464, 13739, 14014?\n\"Answer: 275*s + 13189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 75158770831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5953407 is divided by 90?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 + 22*l + 146. What is m(-7)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 x when two letters picked without replacement from {v: 1, n: 2, e: 3, x: 4}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -321605106, -321605105, -321605104, -321605103?\n\"Answer: a - 321605107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 - 2*t**2 + 18*t + 257. Let w be a(0). Solve -w*u + 250*u = -42 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2 = 3*t, t - 4*t = -12. Calculate the least common multiple of 17 and d.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120 divided by 120.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/(1\/(10\/10)). Put -1, -11, n in increasing order.\nAnswer: -11, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1100236208, 2200472415, 3300708622?\n\"Answer: 1100236207*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 1500 - 8897. Suppose -14*a = 3719 + f. What is a rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.2 - -0.8. Let a = -1.6 + n. Sort 2, a, -3\/4 in increasing order.\nAnswer: -3\/4, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -7. Let a = -1 - x. Let f be (-4)\/2 - (-1 - 1). Is a equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6017?\nAnswer: 11, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/92232 and -37\/672.\nAnswer: 368928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (820\/(-18860))\/(3\/(-2139))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert b27 (base 16) to base 15.\nAnswer: ca5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 14 = 6*r - r, p = -r - 1. Suppose -p*k = f - 54 - 1162, 2*k = -f + 1215. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + 7*z**2 - 4. Let m be v(-6). Let t be 1 - ((0 - -3) + -10). What is the greatest common divisor of m and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/9 - 3\/(-9). Let y(q) = -2*q**3 - q**2 + 1. Let h be y(m). Suppose -a + 4*a + 2*d - 15 = 0, 2*d = h*a. Solve v - 2 = -a for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 5) to base 15.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-25*o**2 + 52*o**2 - 25*o**2 - 20)*(9*o**2 - o + o) as m + k*o + n*o**4 + z*o**3 + b*o**2 and give b.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -5*c + c + 2*c. Let x = 3674 + -3667. What is the smallest common multiple of t(-7) and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.9 in 4\/13, 6, -0.5, 1, 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y**2 + 6*y**2 + 2*y**3 + 3*y**3 + 7*y**2 = 0. What is y?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0 (b) 1\/2 (c) 2\/5 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d**2 - 3*d - 2. Let c be ((-14)\/(-6) - 2) + (-4)\/3. Calculate f(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 - 1)*(-7*q**2 - 6*q**2 - q**2)*(-153*q + q**2 + 153*q) in the form g*q + c*q**2 + s + f*q**3 + v*q**4 and give v.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 77, 8 in increasing order.\nAnswer: -2, 8, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 24495.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 542037190*d**2 - 3*d + 126275 wrt d.\nAnswer: 1084074380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10.7403 and 13127.\nAnswer: -140987.9181","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (6 - 2) - 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 - w**2 + 17*w + 1. Let x(j) = 5*j**3 - 9*j**2 + 99*j - 7. Calculate -6*r(q) + x(q).\nAnswer: -q**3 - 3*q**2 - 3*q - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00008252 rounded to 6 dps?\nAnswer: 0.000083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6958 at most 2547?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 858*b + 120 = 882*b. Calculate the remainder when 577 is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*h + 16. What is the units digit of -1*(h\/(-2) + -16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17 and 901.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2056462.7 rounded to the nearest one hundred thousand?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 307\/20 + -73\/5. Let y(n) = 5*n**2 + 8 - 4*n + 0*n**2 - 4 - 8*n**3 + 9*n**3. What is the common denominator of y(-6) and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b. Let g(n) = 605293*n**2. Determine t(g(d)).\nAnswer: -1210586*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.829323 tonnes to micrograms.\nAnswer: 1829323000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -0.008, -1\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x. Let m(i) = 3*i. Let d(b) = -8*l(b) + 5*m(b). Let v(c) = c**3 + c. Calculate 2*d(r) + 2*v(r).\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f*f**1\/f*f)\/f)**(-24)*f*((f**(-9\/8)*f*f*f)\/f)\/f*f**(1\/3) assuming f is positive.\nAnswer: f**(-1699\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = -d + 15, p + 4 = 3*d - 8 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1354 - -1589. Which is the smallest value? (a) v (b) 2\/3 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*2*(-3 + sqrt(175)))**2 + (-4*sqrt(1008) - -2*sqrt(175))**2.\nAnswer: -480*sqrt(7) + 13052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68044 is divided by 71.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 4:54 AM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -387, 848, 0.15, -0.5, 5?\nAnswer: -387","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = l - 25, -149 = -2*l - 5*f - 159 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6910 is divided by 324.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p**2 - 3*p + 2. Let f be k(2). Suppose f*b = -400 - 200. Let m = 216 + b. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of v**5\/60 + 13*v**4\/24 - 3*v**3\/2 - 4*v**2. Let n be r(-14). Solve -3*i + 0*i - n*j = -15, -4*j - 5 = -i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1143 by -127.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 4. Suppose -r*s = 3*s - 15. Solve -8 = -5*b - s, -4*p + 7 = -5*b for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34879 is divided by 7921?\nAnswer: 3195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 365534 - 9612098. Let y be z\/520 + 14\/35. Let o = y + -8892. Calculate the common denominator of o and 81\/4.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/7 - (-2 + 1)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 18 = -k, -3*l + 17 = -3*k - 7. Solve 0*g - 2*g = l for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 658 + -245?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -97, -2\/5, 877, 1\/3, 0 in decreasing order.\nAnswer: 877, 1\/3, 0, -2\/5, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 45 + -24. Let s = w + -18. Calculate the smallest common multiple of (-4)\/18 + (-448)\/(-72) and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4082 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/510158 and -131\/110.\nAnswer: 2550790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -8961 (c) 0.1004\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + 0)\/((-9)\/36). Suppose 5*q = 5*j - 815, 2*j = -2*j - r*q + 692. Suppose -4*x = 2*l - 562, x - 5*l = -0*l + j. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -143.26 - -108.9. Let u = k + 34. Let l = 1.64 - u. What is the nearest to -2 in -5, -2, l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2010010010 (base 3) to base 8.\nAnswer: -121245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23780 - -570605\/24. Find the common denominator of r and 115\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -142*s**5 - 289*s**4 - s**2 - 9*s - 3699 wrt s.\nAnswer: -2840*s**3 - 3468*s**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ziqq when four letters picked without replacement from {h: 1, v: 3, z: 5, i: 2, q: 7}?\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-375 - 359 + 77)*(3 - 2 + 1)*(r**2 + 0*r + 0*r) as c + b*r + l*r**2 and give l.\nAnswer: -1314","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.253 + 138.747. Let s = 139.1 - h. What is the closest to 1\/2 in 2, 17, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 - 25. Let v = 2 + o. What is the closest to 0 in v, 0.07, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12871500 to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3068.\nAnswer: 2, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -1078.998 to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 6, 4, 3048217, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*n**2 + 3*n**2 + 4*n**3 + n**3 - 2 in the form f + t*n**3 + d*n**2 + w*n and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilometer in meters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(4\/9))\/(u\/u**(-2\/9))*(((u\/u**(-1))\/u)\/u*u*u)**(-28\/11) assuming u is positive.\nAnswer: u**(-482\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 3) to base 16\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 90687890 to the nearest integer?\nAnswer: 9523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (72\/1056)\/(3\/(-4)).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**46)\/u*(u\/u**23)\/u)\/(u\/(u\/u**(2\/5))*u*u**2) assuming u is positive.\nAnswer: u**(98\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xn when two letters picked without replacement from {x: 1, b: 1, g: 1, s: 1, n: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 101814407 + -101814406.18099497. Let k = h - 0.819. Round k to 7 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 53*k - 2. Is m(1) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 86*p**5 - 3*p**4 - 1365*p - 1 wrt p?\nAnswer: 1720*p**3 - 36*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -103*o - 1. Let v be x(1). Let t = -155 - -120. Let j = t - v. What is the remainder when j is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of u**3\/3 - 5*u**2\/2 + 6*u + 6508. Let t(j) = -6*j**2 + 26*j - 31. Give -11*h(g) - 2*t(g).\nAnswer: g**2 + 3*g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddgg when four letters picked without replacement from ggddddddggdg?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51, 3, 6084, -4 in ascending order.\nAnswer: -4, 3, 51, 6084","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.14 or -4961889?\nAnswer: -4961889","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 4, 2\/17, 7.9, 0.49?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -182670, -182628, -182536, -182376, -182130?\nAnswer: -181780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -77 - -244. Let n = d - 160. Which is the second biggest value? (a) 5 (b) n (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/25856 and 109\/44.\nAnswer: 284416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*t**2 + 1493920*t + 111589848320 = 0. What is t?\nAnswer: -149392","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 5*x = -11*j + 45, -2*j + 12 = -4*x. Suppose 0 = 5*k + 4*s - 3485, -3*k + 2091 = 5*s - j*s. Is 17 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 254 divide 82790284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of -y**3 + 2*y**2 + 2*y - 94. Let d(a) = -1. Give 3*d(g) + w(g).\nAnswer: -6*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((2*sqrt(84))\/(sqrt(112)*3) + 1) + -1.\nAnswer: -2 - sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*20.8321\nAnswer: -4.16642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-seven fifths of a minute?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**3 - 32808*m**2.\nAnswer: 4*m**2*(m - 8202)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59448241?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + (2 - 0 - 6). Let n be ((-9)\/3 + 65)\/(-2). Is (k + 3)*1*n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.119289 months in years?\nAnswer: 1.00994075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -27. Let f = 4 - 4. Suppose f = -7*w + 5*w + 4. What is the highest common factor of k and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24*k**2 + 8*k**4 + 9*k**2 + 8*k**4 wrt k.\nAnswer: 384*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6007 a multiple of 138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 AM and 7:05 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -159 - 3157*q + 363 - 204 as x + b*q and give b.\nAnswer: -3157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**3 + 3*r**3 - 2*r**3)*(3*r - 2*r + 3*r) + (3 - 3 - 2)*(r**4 - 2*r**4 - r**4).\nAnswer: -4*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -82, -152, -222, -292, -362?\nAnswer: -432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-30)*(-750)\/(-35) - (-28)\/147*3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1928 (base 10) to base 5.\nAnswer: 30203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 34046184?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2749285 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 660, 525, 400, 285, 180?\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y**2 + 15*y - 29*y + 14*y.\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 0, -594, -45\/4, -4 in decreasing order.\nAnswer: 0, -0.4, -4, -45\/4, -594","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j. Let l(t) be the first derivative of 1516*t**3\/3 + 11449. Determine l(x(c)).\nAnswer: 1516*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.2544811mm?\nAnswer: 0.0002544811","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6 - 0)*8\/12. Suppose -w = x - 12 - 13, -l*w - 107 = -5*x. Solve -3*t - r + 24 = 7, 4*r - x = -3*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from besyisbqqbse. What is prob of picking 1 q, 1 i, and 1 y?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 3*b - 2. Let h = 0 + -2. Let x(p) = 1. Let y(q) = 3*q**3 - 43*q**2 + 56*q - 53. Let v be y(13). Determine h*x(t) + v*g(t).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103 is divided by 25.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 5*w - 29. What is u(4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16429 + 15129. Which is smaller: h or -1303?\nAnswer: -1303","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-51)\/(-68))\/((-3)\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27246 and 984504.\nAnswer: 235296456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -921, -922, -923?\nAnswer: -924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 28\/(-35)*(-10)\/(-1). Let u be 0 - 1 - (v + -11). Let k = 24 - u. Which is greater: 5 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x + 7. Let o be c(-3). Suppose 2 + 5 = -a + 4*j, 3*j = -o*a + 29. Suppose g + 26 = 2*q, -2*q - q + 26 = a*g. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*f + 52*f = -j + 10, 1 = -2*j + 3*f for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/2 and -45\/44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 297, 620, 1001, 1470, 2057, 2792, 3705, 4826?\nAnswer: 6185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -184a03b + -4?\nAnswer: -184a043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.6 - -1.4. What is the nearest to 0.1 in 4, c, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {z: 1, r: 3, n: 10, w: 2}?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a**3 - 2*a**2 - 2*a + 2. Let z = -8 + 28. Suppose -5*f + z = 2*v, -v + 3*v + 4*f - 20 = 0. What is the least common multiple of t(-2) and v?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 2*v - v)*(8*v - 5*v - 12*v + (-2 + 2 + 1)*(-5 - 22*v + 5)).\nAnswer: 31*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 + 19*f**2 - 18*f - 15. Give u(18).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 251391?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 584?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + (6*(sqrt(77) - -3*sqrt(77)) - sqrt(77)) - sqrt(77)*1*4)\/(sqrt(84)\/(sqrt(12) - (sqrt(12) + sqrt(96)\/sqrt(8))) + sqrt(175)*6).\nAnswer: 20*sqrt(11)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - (-101 - 20\/(-5)). Let y = 3841 - 3829. What is the greatest common factor of y and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 17587\/20379?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/3 and -47\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13.81*26.493.\nAnswer: 365.86833","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1231 is divided by 498.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + n - 9. Let g be (0 + 0)\/(-4*6\/12). Suppose n*k + g*k = 0. Solve 5*x - x = k for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12013 (base 6) in base 2?\nAnswer: 11011001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 6:12 AM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 1867 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 1 (b) 63189.83 (c) 5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1864, 2214, 2564?\nAnswer: 2914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*z**4 + 8*z**4 - z**3 - 2*z**4)*(-34 - 42 + 2*z + 91).\nAnswer: -2*z**5 - 17*z**4 - 15*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 148373\/44380 - -15\/2219. Let y be -6*(52\/12 - 3). Find the common denominator of ((-7)\/(-4))\/(y\/44) and l.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from umuudmmmdm. What is prob of picking 2 d and 1 u?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2\/7 + 510*o\/7 + 21675\/7.\nAnswer: 3*(o + 85)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-36)\/21)\/((-4)\/56). Suppose 2*n + 4*y = -p, y + 8 = -n + 1. Let v be 598\/65 + n\/10. Do 9 and v have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 89556 and 221.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/6)\/i)\/(((i*i\/(i**(1\/10)\/i))\/i)\/i))\/(i**(-6)\/(i\/(i*i**(1\/5)))) assuming i is positive.\nAnswer: i**(56\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 2*a = -28, 37*m - 42*m + 37 = 2*a. Let b(r) = r**2 - 14*r + 52. Let z be b(m). Sort z, -3, 4, 0 in increasing order.\nAnswer: -3, 0, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = 3*y + 10, 0 = 2*j + 5*y + 16 + 6 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n**2 + n. What is b(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/3*(2 + 1). Factor 10 + 14*n + 6*n + 4*n**3 - k + 5*n**2 + 11*n**2.\nAnswer: 4*(n + 1)**2*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 4*q**3\/3 + 552*q**2 + 57132*q = 0.\nAnswer: -207, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5311 + 5316. What is the nearest to -1 in v, -0.3, -20?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 41 + 2 = -2*b, 3*b + 5*r = 60. Calculate the highest common factor of 105 and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ht when two letters picked without replacement from htnnnznutnuunn.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000001 - -101100111111100011?\nAnswer: 101101000001100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 + 9*i - 64. Give w(7).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -60, -206, -452, -798, -1244, -1790?\n\"Answer: -50*a**2 + 4*a - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -730 + 730.2. Which is the closest to -275? (a) d (b) 0 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 9*x**2 + 2*x - 2. What is the remainder when ((-50)\/(-6))\/(2\/6) is divided by h(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1875 and 75.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -374*o - 3368. What is h(-10)?\nAnswer: 372","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 + 3*r + 2. Suppose 2*b + 2*b = 16. Suppose -11 = b*s + 9. Give f(s).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2189, 4485, 10717, 22853, 42861, 72709?\nAnswer: 114365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of v**3\/3 - 6*v**2 + 7*v - 1. Let z be 1 + (-97)\/(-9) + 10\/45. Let m be d(z). Round m to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/151792 and 139\/284610.\nAnswer: 2276880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 82*t + 5921. Give b(-73).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 151956 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in one fifth of a microsecond?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -443 + 446. Let q(y) be the second derivative of 1\/6*y**4 + 0 - 1\/6*y**g - 11*y + 0*y**2. What is the second derivative of q(n) wrt n?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9)\/(-12)*(-12)\/(-1). What is the greatest common divisor of h and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, w: 3, z: 3, l: 2, j: 1, q: 3}. Give prob of picking 3 z and 1 k.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 107, 0.4, 75, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.6 + 0.7. Let d = w - -2.1. Which is the second biggest value? (a) -2\/5 (b) d (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 2:54 PM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*t**4 - 236*t**3 + 232*t**2 = 0. What is t?\nAnswer: 0, 1, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1493941?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -437*k**3 + k**2 + 164 wrt k?\nAnswer: -2622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 293254 is divided by 146623.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -265*k + 532. Determine q(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1826651 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 363060300 to the nearest integer?\nAnswer: 713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2 + (sqrt(432) - (-4 + sqrt(432))**2*-2) + (-5*(sqrt(432) + 0) - (-3 + sqrt(432)*-2))).\nAnswer: -216*sqrt(3) + 901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m. Determine q(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/100 and 107\/60.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 13*j**2 + 21*j - 6. Let t(b) = -31*b**2 - 46*b + 12. Determine -9*m(i) - 4*t(i).\nAnswer: 7*i**2 - 5*i + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 4. Let j = 57 - 41. Suppose 4*l - 5*n - 32 = -n, n + j = 3*l. What is the remainder when y is divided by l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 divided by -7.\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32448 - 1544 = 8*o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 PM and 3:48 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -6893, -1, -10 in increasing order.\nAnswer: -6893, -10, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -115.125 - -0.125. Let y = 682 + -796. Let b = l - y. What is the closest to b in 2\/5, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23597\/2 less than 11800?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*j**5 - 708*j**4 + 12561*j**3 + 52362*j**2 - 44160*j - 20064 = 0 for j.\nAnswer: -4, -1\/3, 1, 38, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.191 + -5.191. Which is the third smallest value? (a) s (b) -0.4 (c) -513\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18656690*w**3 - 44960*w + 139?\nAnswer: -111940140*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7304 and 286931?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + 385\/75 - (-12)\/(-120)*-2. Solve -32\/3*c - 1\/3*c**3 + 20\/3 + k*c**2 = 0.\nAnswer: 1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 347593 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3739444 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 2*v + 6 = -1, -4*p + 2*v - 16 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 244 and 97007324.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, s: 6, f: 3, b: 1}. What is prob of picking 3 b?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 + 4*t - 5. Let v(c) = -c**3 + 5*c**2 + 2*c - 6. Let r be v(5). Let p be f(r). Let z(q) = -q - 5. Let m be z(p). Solve m = 2*l - 0*l - 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -30*j*w**2 - 3*j*w - 23*w**2 wrt j?\nAnswer: -30*w**2 - 3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 42176.86672 to the nearest integer.\nAnswer: 42177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5236, 21599, 50218, 92197, 148640, 220651, 309334?\nAnswer: 415793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -165264714*n**5 - 702965996*n.\nAnswer: -3305294280*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 6 - 113*h**2.\nAnswer: -113*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z - 136 + 1572 + 844 = 0. What is the highest common factor of 255 and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 36 = -9. Suppose -960 = j - v*j. Is 24 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 2 j when four letters picked without replacement from {j: 4, y: 2, f: 6}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.044116 (b) -1 (c) 1\/3 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 109716*p - 109730*p - 294 for p.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 4*w = 16. Suppose 3*g - 4*m = 14, -w*m + 0 = 3*g + 2. What is the third derivative of 2*z**2 + 6*z**2 - 2*z**g + 3*z**3 - 4*z**2 wrt z?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 79999*l**2 - 3*l + 10. Let h be t(-5). Round h to the nearest 100000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 3 = -z, 0 = -102*i + 97*i + 37*z - 153 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 98738?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 16\/10*(10\/4 + 0). Let i(t) = -t**2 + 13*t + 8. Let n be i(12). Suppose -3*z + n = 2*z + 3*r, 3*r = -4*z + 16. Solve -z*f = -8*f - c for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t\/t**4)*t))**7 assuming t is positive.\nAnswer: t**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g + 0*g - 232*g**2 + g + 217*g**2.\nAnswer: -15*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**2 + 3426*p - 72387 = 0 for p.\nAnswer: -3447, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/67208 and -32\/46341.\nAnswer: 11492568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/9)\/((-18)\/27).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (-12 + -18 - -11) - 4?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 6 = -4. Let c(g) = -2*g**2 - 2*g - 1. Let i(b) = b**2 - b + 3. Let d(a) = -c(a) - i(a). What is d(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 - 0.1. Let u = -0.0788 + -0.4212. What is the second biggest value in 3, o, u?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - c + 2*c = 5*c - 104, v - 121 + 899 = 34*c for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*k**5 - 4037147*k**4 - 26000934*k**2 wrt k.\nAnswer: 600*k**2 - 96891528*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/6*10\/(-110)*-11.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1013 + 1017. Which is the closest to 2? (a) v (b) 48 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 8*c = 36, -79*i + 75*i + 27 = c for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -431 - -440. Solve -v = 6*r + 21 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mccmccmmcmamcc. What is prob of picking 1 c and 1 m?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -985 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7775\/1367 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (94 - 86) + 1 + (-15 - -82)?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 73277989, 146555999, 219834009, 293112019, 366390029?\nAnswer: 439668039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1 + (-693)\/(-5) - 56\/(-140)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(3 + sqrt(272))*1 + 0 - (1*sqrt(272)*5 + (sqrt(272) - (-1 + sqrt(272)))*6))**2.\nAnswer: 2112*sqrt(17) + 33488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9938953 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3 + 2580150*m**2 - 832142882574*m - 2496451869126.\nAnswer: -2*(m - 645039)**2*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2556*p - 3179*p = -26995 - 7893 for p.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 401?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1372340729?\nAnswer: 61, 22497389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(25\/4)\/z)*z\/z**(-1\/3))\/(z**(-29)\/(z*z\/(z\/z**(-2\/19)*z))) assuming z is positive.\nAnswer: z**(5923\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/2)*z\/(z**(-8)*z))**(-17) assuming z is positive.\nAnswer: z**(-255\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 2*o + 2*a + 3 = 0, 5*a = -15 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -77033*a**2 + 203*a + 16 wrt a?\nAnswer: -154066","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b + 12. Suppose -20*r + 3*c = -19*r + 19, 0 = 3*c - 24. Let m(j) = -j - 8. Determine r*d(g) + 8*m(g).\nAnswer: -3*g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjnnjnnff. Give prob of picking 2 f.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 + 11*a. Let b(z) = -5*z**2 + 45*z. What is -4*b(p) + 18*i(p)?\nAnswer: 2*p**2 + 18*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 28*f - 25*f + 0*f**2 + 18*f**2 + f**3 - 2*f**3 - f**3 + 4*f**3 + (-2 + 2 + 2*f)*(-1 + 1 + f**2).\nAnswer: 4*f**3 + 18*f**2 + 3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.0962412 centuries?\nAnswer: 9.62412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2380722 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2161*x - 2164*x - 12 = 0. Let z = -19\/2 - -9. Put z, x, -3 in increasing order.\nAnswer: x, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/144628 and 11\/53630.\nAnswer: 22417340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 26 = 4*i, -12*d + i = -9*d - 23 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8*2\/(-18)*6?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 - p + 3. Let o(n) be the second derivative of -n**5\/20 - n**4\/2 + n**3 + 3*n**2 + 5*n - 3. Let a(q) = 3*k(q) - o(q). Determine a(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 17*a - 10. Suppose -3*m = m - 92. Suppose m = 2*y - 17. What is the remainder when o(4) is divided by y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 21\/5 of a millennium?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25 - 8) + (-31 + 25 - -25)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/8*-4*2. Suppose -4*i = -z + 3, -i + 2*z + 2 - q = 0. What is the tens digit of (3 - i)\/((-20)\/(-110))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4 + 1 = 0. Suppose -77 - 13 = -n*u. Is u a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*x + 58*x - 109*x.\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, q: 1, h: 1, x: 2, z: 2}. Give prob of picking 1 x and 1 r.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 1\/6, 6.7, 2\/19, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (2 - (8 - 7)) - 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 139320*a**2*f**3 + 22*a**2*f + 2*a**2 + 79*a*f**2 + 3 wrt f.\nAnswer: 835920*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 + -1206987368.\nAnswer: -1206987367.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 943.\nAnswer: -3772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 180615.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5151120 a multiple of 338?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 11, 20, 8, 2 in decreasing order.\nAnswer: 20, 11, 8, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b - 15. Let f be j(10). Let g(o) = -o**3 - 4*o**2 + 2*o - 4. Determine g(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25937757 a multiple of 531?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + 10*f**2 + 5*f - 41. Determine m(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 324 and 270?\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5695720?\nAnswer: 2, 5, 23, 41, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 9 = -5*j - 1, 3*j + 3*g - 24 = 0. Suppose j*y + 8*y = -48. Sort -1\/9, 1\/5, y in descending order.\nAnswer: 1\/5, -1\/9, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -10110100010010?\nAnswer: -10110100010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d**2*d))\/(d**(1\/2)\/d)*(d*d\/(d**1*d))**(-14\/5)*(d**(-2\/5))**(-2\/31)*d*d**(-1)*(d**(2\/3)\/d)\/d assuming d is positive.\nAnswer: d**(-1681\/930)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 46 (b) 2\/9 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2120 - 844 = 52*v for v.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j + 15. Let z be r(-11). Suppose t - 67 = -5*g - 2*t, -z*g - 2*t + 52 = 0. Suppose 2*p - g = -1. What are the prime factors of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -13*b**2 - 2076*b + 22067. Calculate w(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 693659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 s when four letters picked without replacement from bsscsssbssssbcbcss?\nAnswer: 11\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 349, 348, 347, 346?\n\"Answer: -r + 350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 7\/3, -3, 4, 2.8?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = 3*i - 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 77686.16 milligrams?\nAnswer: 77686160000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/2)\/((-1035)\/(-69))*(-90)\/216?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 958 + 148 = 14*a. Let k = a + -76. Solve 0*s + 5 = 5*s + v, -4*v = k*s - 20 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2 + -1*sqrt(720)) + (-4 + ((sqrt(25) - sqrt(175)\/sqrt(7)) + sqrt(25))\/sqrt(5) + sqrt(5))**2 + 0.\nAnswer: -28*sqrt(5) + 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 72 = f, -g - 3*f + 54 = 2*g. Let a be (-1 + -1)\/(2\/(-75)). Calculate the highest common factor of a and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 + 16*t - 124. Calculate u(15).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -105, 4, -5 in ascending order.\nAnswer: -105, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -224.7 - -227.7. Suppose 0 = -2*q - 3*i + 11, -5*q + 3*i + 1 = 5. Which is the nearest to 11? (a) q (b) 2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f + 5*f - 38 = -32*g, -30*g - 5*f = -31*g + 31 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**26)**(-8\/13) assuming h is positive.\nAnswer: h**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 610711 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r + 3. Let i be v(0). Is i + 1\/((-3)\/(-324)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1165394.\nAnswer: 2, 29, 71, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1063*z + 125*z + 898*z.\nAnswer: -40*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 2*x**3 + 10*x**2 - 8*x - 40 = 0.\nAnswer: -5, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1042 + 1083. Is q a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m + 6. Determine w(12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3148056858?\nAnswer: 2, 3, 1103, 475681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(o\/(o**(-3\/7)*o))\/o)**27\/(o**(-2\/31)*o**9) assuming o is positive.\nAnswer: o**(572\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**0)**(-29)*(w**(-8)\/w)\/w**(-5\/6))\/((w\/(w\/w**5))\/w**(-7)*w**(-6)\/((w*w**(3\/5)\/w)\/w)) assuming w is positive.\nAnswer: w**(-437\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**4\/13 + 2156*k**3\/13 - 581042*k**2\/13 = 0. Calculate k.\nAnswer: 0, 539","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 2*r = 5*m + 31, -3*m + 8*r = 31 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*d - 21*d - 3876. What are the prime factors of d?\nAnswer: 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 95 - 97. Let p be c + ((-192)\/(-40))\/((-51)\/(-20)). Are -1 and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -160, -164, -168, -172?\nAnswer: -176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5.62 (b) 3\/13 (c) 0.0116\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 15*m - 73095. What are the prime factors of m?\nAnswer: 3, 5, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/d**(-1))**(-33)\/(((((d**(-1\/2)\/d)\/d*d)\/d)\/d)\/d)**(-30)*((d**2)**(13\/6))**(-1\/12) assuming d is positive.\nAnswer: d**(-8437\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4823 is divided by 447?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -58\/75 - -16\/25. Let l = -0.247 - 19.753. Which is the biggest value? (a) l (b) 0.1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of -r**8\/168 + 2*r**7\/105 - 11*r**5\/15 + 13*r**2. Find the third derivative of c(j) wrt j.\nAnswer: -120*j**2 + 96*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, -0.045, 0.2 in descending order.\nAnswer: 27, 0.2, -0.045","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15787*d**3 - 3*d**2*m**3 + 2864*d - 10*m**3 wrt d?\nAnswer: -94722*d - 6*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 z when three letters picked without replacement from ezge?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.18 (b) 4578 (c) 57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0010095 rounded to 5 decimal places?\nAnswer: 0.00101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 5 - 25. Let g(m) = -19*m**3 + m. Let a be g(-1). Let d be (-2)\/((-21)\/a + 1). Solve 15 = -0*b - 5*b, x*w + 4*b = -d for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of c**7\/280 - c**6\/180 + c**3\/2 - 4*c**2. Let w(b) be the first derivative of j(b). What is the third derivative of w(r) wrt r?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a micrometer in nanometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(1134\/306)*9?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*h - 2 - 13*h + 7*h - 25*h**2 to the form z + l*h + s*h**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -5. Differentiate -4*c + c**2 + 3 + 0*c**2 + f*c wrt c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 7, w: 2}. Give prob of picking 2 x.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 467*l - 121 = 478*l for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + 58*p. Let t(s) = -8845*s. Calculate t(v(k)).\nAnswer: -8845*k**2 - 513010*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 953 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5.7 and 24.\nAnswer: 29.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 3*j + 8, -3*i - 3*j = -4*j - 6. Is 47 a factor of (477\/(-27))\/(i\/(-18)) + 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15463 divided by -47?\nAnswer: -329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -72176.10004 rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -4*h. Let m be f(6). Is m\/(-9)*(-411)\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1989987 is divided by 572.\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 14 + (-49 - 41) + 76.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -139, 5, 242, -159 in descending order.\nAnswer: 242, 5, -139, -159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5215976610?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/17? (a) -0.4 (b) 482 (c) -2 (d) 1\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24892047 is divided by 68011.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y - 286. Calculate z(-56).\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*(f\/(f\/f**(-1\/58)))\/f*f*f**(-32))**(-44) assuming f is positive.\nAnswer: f**(38302\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 572*w - 574*w - 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 + 4*a**2 - 7*a - 2. Let k be m(-5). Suppose -3 = c - k. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.517 + -4.517. Which is the nearest to 1\/4? (a) l (b) -0.4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 805 + (6 - -1) + 3\/1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 + 44 - 18 + 9*r - 15 to d*r + k and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*g, 0*g = -3*z - g + 27. Let w(n) = -n**2 + 7*n + 7. Let k(v) = -5*v**2 + 35*v + 35. Let y(d) = 2*k(d) - 11*w(d). Determine y(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 81240 and 2328?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 164*r + 6844. Let n(m) = -31*m - 1369. Calculate -16*n(q) - 3*w(q).\nAnswer: 4*q + 1372","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1172 + 3*l + 3508 + 7*l**2 - 1165 - 1171.\nAnswer: 7*l**2 + 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -22 + 8 + -12?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + 8*c**2 - 8*c - 4. What is v(7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -2*q + 5*o, -2*o - 2 = 2. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96800.78 litres in millilitres?\nAnswer: 96800780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20100 (base 3) in base 4?\nAnswer: 2223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -13*p - 63. Let c(f) = -f - 9. Let r be c(-3). Let l be o(r). Calculate the greatest common factor of l and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -285.462 to the nearest 10.\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 11:59 PM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**0)\/(d\/d**(-3\/7)))\/(d\/(d*d**1)*d)**27)**(-1\/3) assuming d is positive.\nAnswer: d**(1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 544388*i**2*x + 205*i*x - 75399686*x wrt i?\nAnswer: 1088776*i*x + 205*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6, -6\/5, 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 77778355210 + 59.\nAnswer: 77778355269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (12 - 6 - -17 - 4) - -9?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2339\/107125 - -5\/857. Which is bigger: 1 or d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15013?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.4 and -1198.99?\nAnswer: 2877.576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16064723*n**3 + 1604*n**2 + 1078*n wrt n?\nAnswer: 96388338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -513*u**2 - 27*u + 504. Let x(l) = -73*l**2 - 4*l + 72. Let t(r) = -14*r + 57. Let w be t(6). Let v(a) = w*x(a) + 4*c(a). Differentiate v(m) wrt m.\nAnswer: -162*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2734093557?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/6 and (-45)\/(-5)*(-1)\/(-7)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -24 != -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -114 (base 5) in base 14?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*a = -4*c + 6*c + 235, 3*a + 217 = c + 294 for a.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 73*o - 8 = 65*o + 16, 2*n + 20*o = 64 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4399507592.\nAnswer: 2, 549938449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (102 - 116 - (-24 + -1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a tonne in kilograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from hheheddedfesd.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 207174390?\nAnswer: 2, 3, 5, 683, 10111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 179 and 1257.\nAnswer: 225003","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1156655959 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-27)*15*1\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.309 in 0.7, 2, -7389, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/((1\/(-8))\/(-1)). Suppose b + 3*b - l = 0. What is the greatest common factor of 128 and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) - (sqrt(121) - 4*(sqrt(121) + (sqrt(121)*1 - sqrt(121) - sqrt(121)))))\/(sqrt(44)*-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -397.55 + 439. Let x = 41.449998213 - q. What is x rounded to 7 dps?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/18 and 74\/24429.\nAnswer: 146574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 67630 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of 298319103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/10)\/((-9)\/(-15)). Is -1 equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7268 - 7263. Solve r*b + 318 = -48*b for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4587711 take away 55706?\nAnswer: -55706.4587711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4492.2 + -792730.9017.\nAnswer: -788238.7017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11.5 - -11. Which is the closest to 0? (a) 2\/5 (b) i (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -7*i**2 + i + 1. Let p = -96 - -98. Let g be ((-5)\/p - -2)\/((-2)\/(-4)). Calculate k(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 4*i - 12*i**2 - 3 - 2*i**3 + 9*i**2 + i**3. Let c be o(-5). What is the greatest common divisor of c and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ev when two letters picked without replacement from uuuuyufoyeuvyfuuue.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (18\/(-16))\/(105\/28). Let p = 7\/10 + y. What is the second smallest value in 3, 4, p?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/15 - (-732)\/15. Let z(v) = 2*v**3 + v**2 + 9*v + 5. Let b be z(-2). Let a = d + b. Calculate the highest common divisor of 16 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5806497?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 11*y - 42. Determine d(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of -7*j**3\/2 - 3*j**2\/2 + 11*j. Differentiate i(r) with respect to r.\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2615*j + 69501 = -839*j - 72058 + 43879 for j.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.5? (a) 2\/3 (b) -2\/13 (c) 4 (d) 2\/421 (e) 34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -163 - 118 - 23 - 42446*f + 42445*f in the form v + u*f and give v.\nAnswer: -304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/20 - 6\/12?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -8 - (7\/4)\/((-6)\/(-16)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 6 + 4 = -5*b, -9 = 4*l + 3*b. Let d(k) = k**2 + k + 1. Let o be d(l). What is the greatest common factor of o and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -105, -751, -2511, -5943, -11605, -20055?\nAnswer: -31851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*3*(sqrt(24) - sqrt(120)\/sqrt(5) - sqrt(24))\/sqrt(12))**2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -165*m**4 + 139.\nAnswer: -660*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + -1)**2 + -5 - 4*(sqrt(51)\/sqrt(3))**2.\nAnswer: -55 - 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/4 - (-6935)\/76. Let w = y - -39. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -169747135.462867 - -169738164.66. Let c = s - -8970.9. Let x = c - 0.097. Round x to five dps.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l + 5. Let v be j(0). Let n = v + -9. Let u(f) = -3*f - 1. Let r be u(n). Calculate the highest common factor of r and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = a - 1 - 3, -5*a - 1 = -4*w. Sort -10, 1, a, -2 in decreasing order.\nAnswer: 1, a, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) 2 (b) -2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -17d + -9846?\nAnswer: -99c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -2\/21, -4, -5\/163 in decreasing order.\nAnswer: 13, -5\/163, -2\/21, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/144 and -151\/865080.\nAnswer: 1730160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48985581 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -95 + 90. Let c = 8 - 5. Let f = c + j. Which is smaller: -1\/2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -8*h + 20. Suppose 3*q + 12 = -q - 4*o, h*q + o = 0. Let g be -1*(1 + q) - -6. Solve -f - g*f = 15 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-15)\/(-18))\/(-5) - 2925\/(-54) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31 - 27. List the prime factors of c\/6 - 604\/(-12).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10033233 + 0?\nAnswer: -10033233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -23*x + 259. Calculate d(11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*1*sqrt(108) - sqrt(108))\/(-4*sqrt(36)\/sqrt(4)))\/(sqrt(44)\/(sqrt(495)\/sqrt(5))*5).\nAnswer: -3*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*w + 17. Suppose -6*n + w = -4*n. Calculate the least common multiple of n and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 8*t**2 + t + 1. Let b be n(-8). Let u = b - -11. Suppose -u*a + 31 + 17 = 0. What is the smallest common multiple of 16 and a?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (7550\/75 + -8)\/((-1)\/(-6)) and 556.\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 6*t - 2*t. Suppose s + 9 = 4*s. What is the third derivative of -v**3 + v**s + 2*v**t - v**3 wrt v?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -0*p + 518. Let t = p + 10357\/20. Let x = 3895\/26 + -154. Find the common denominator of x and t.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 57 + -38. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -16 + 20a?\nAnswer: 1d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.58 - -0.18. Which is the biggest value? (a) o (b) 2 (c) 1\/7 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9138 + -9140. Put 5, 10, -1\/5, x, 0.23 in ascending order.\nAnswer: x, -1\/5, 0.23, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-182))\/(986\/6409)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 3)*(-b - 2*b + 4*b) - 324*b - 14022 + 14022 - 765*b + 4 - 2*b - 4.\nAnswer: -1089*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 2*c + 5*y - 274, 0 = -4*c + 2*y + 644. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 + 8*k + 24. Let g(z) = 2*z**2 + 15*z + 45. Let f(h) = 8*g(h) - 15*s(h). Let p(j) = 2*j**2 - 1055. Calculate p(f(a)).\nAnswer: 2*a**4 - 1055","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*i + 11*i + 17*i + 0*i - 5*i + 3*i + i - 1 + 1 + i + 3*i - 5*i + 2*i + i - 2*i + (-2 - 1 + 1)*(0*i - 2*i + 4*i) + 0 + 0 - 2*i.\nAnswer: 9*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*i + 2*i + 0*i)*((6*i - 4*i - i)*(-i - 3*i + 5*i) - 712 + 712 - 62*i**2) to b*i**3 + t*i**2 + x*i + l and give b.\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(400\/(-15))*24\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7590 - -7589.3369. What is d rounded to one dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (144\/(-420)*-49)\/((((-27)\/(-6))\/(-1))\/15).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of 0 + 1\/24*i**6 + 0*i + 0*i**3 + 1\/15*i**5 + 3*i**2 + 0*i**4. Find the third derivative of p(n) wrt n.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22221040 - 2?\nAnswer: 22221033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60715479993 - 4.\nAnswer: -60715479997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**4 + 78*m**3 - 708*m**2 - 270*m + 7425.\nAnswer: 3*(m - 5)**2*(m + 3)*(m + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + -867?\nAnswer: -86c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3341, 3335, 3329?\n\"Answer: -6*d + 3347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 3*h - 4, 3*q = -h - 5. Let t be 3 - ((-3)\/q - 59). Let p = -8 + t. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12615786517 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -19*x - 154. Let z be v(-8). Put -4, z, 0.7 in increasing order.\nAnswer: -4, z, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3382534537 to the nearest integer?\nAnswer: 1501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6494)\/20 - 1\/(-5). Let r = p - -348. What is the common denominator of r and -81\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223207 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of 1\/3*l**4 + 1\/6*l**3 + 0 + 5\/2*l**2 - 1\/20*l**5 - l. Is y(4) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (315\/(336\/(-16)))\/5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - 5. Let v be d*2\/(-8)*(-12)\/(-10). What is the highest common divisor of v and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of -14*q**6\/3 - 25*q**2\/2 - 173*q. Differentiate o(b) wrt b.\nAnswer: -560*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w - 6. Let q be p(8). Solve 5 + 5 = -q*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qsfnz. What is prob of sequence nf?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzazzuazuzazzzzuzzz. What is prob of picking 3 u?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 314044 - 314044 + 15*q. Calculate u(4).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v**3 - 59*v**2 + 187*v - 4240. Calculate l(29).\nAnswer: 342","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4156767 is divided by 312.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-6))\/(1292\/(-102)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14c7a (base 15) in base 12?\nAnswer: 328a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 2*b**5 - 58*b**4 - 3510*b**3 - 26534*b**2 + 136900*b + 951600 = 0.\nAnswer: -20, -13, -5, 6, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7099, -8679, -10257, -11833, -13407, -14979, -16549?\nAnswer: -18117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -137 - -2875\/21. Which is the closest to 0? (a) f (b) -0.1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 391151, 782413, 1173697, 1565009, 1956355, 2347741?\n\"Answer: t**3 + 5*t**2 + 391240*t - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 602\/(-645) + (-3)\/10*(-7 - -5)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (sqrt(208) - (0 + sqrt(208))) - sqrt(208)) + sqrt(208)*-1 + -2)**2*-2.\nAnswer: -1762 - 224*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 26438180039538 and -3.\nAnswer: 26438180039535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13639904 and 28324?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-63)\/(8316\/(-330)))\/((-5)\/22).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 - 9 = -3*i - d, -2*d + 25 = 3*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c + 235 - 257 = 0. Solve -3*k + 11 = k + 3*m, -c = -2*m for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - j + 21 + 23, -2*n - 28 = 3*j. Let u be (-25)\/n*4 - 1. What is the biggest value in u, -4, -4\/9?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide (-1 + 7)*-1*-990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5717?\nAnswer: 5717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g**2 - 20*g - 16*g**2 - 1 - 1.\nAnswer: -19*g**2 - 20*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 244 and 305?\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1004922539 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -13\/3, 0.2, -0.1, 1 in descending order.\nAnswer: 1, 0.2, -0.1, -13\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -87 - -25. Let x = 31 - -31. Let q = x + k. Solve 0*p + 2*p + 4 = q for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 5 (c) 8.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = -3*i + 8, 166*l - 162*l - 16 = -2*i for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97362377.\nAnswer: 7, 13908911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 5*k = -5979, k - 11944 = -2*v - 2*k. What is the highest common factor of 188 and v?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -3*g - 39. Suppose 4*k - 7*r + 9*r = -100, -3*k - r = 77. Is 3 a factor of q(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -775 - 3?\nAnswer: -778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 136 - 26 + 294. Calculate the remainder when n is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -i + 11. Suppose -2*b + 1 = -n + 7, -i*n - b + 8 = 0. Suppose -n*h = -h - 88. What are the prime factors of h?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g - 12 = -2*g. Let t(k) = -k**2 - 7*k - 6. Is t(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 13 = -a, 3*n + 44 = 4*a - 28. What is the remainder when 60 is divided by a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-17)*w*w**(-22\/5))\/(w**(-5\/3))**(2\/23) assuming w is positive.\nAnswer: w**(-6988\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -7, -23, -65, -145, -275, -467?\n\"Answer: -2*f**3 - f**2 + f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*a**3 + 3*a**3 - 5*a**2 + 7*a**2 + (-3*a**2 + 2*a**2 + 3*a**2)*(0*a - 5*a - a).\nAnswer: -13*a**3 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a6 + 4?\nAnswer: -a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -227133569\/2751 - -82564. Which is greater: u or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 606 a factor of 470528087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 6 = -19. Suppose -14*o + 29 = -27. Suppose 0 = o*t - 8*i + 5*i + 6, 5*t + 4*i - 8 = 0. Solve t*z = -r*z - 15 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 41 - 42. Let l = b + -6. Let s = l + 35. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2520 and 1845.\nAnswer: 103320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5828011967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s = 6*s + p + 400, 0 = -2*s + 2*p + 396. What is the remainder when s is divided by 51?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f**2 - 7*f - 215. Let j be h(18). Solve j*d = 310*d + 9 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -2*o - 560000. Round o to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 3*u - 489, y - 483 = -0*y - u. Suppose 2*o + y = -2*o. Round o to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 118940?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 28e0d (base 16) in base 8?\nAnswer: 507015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11985534 to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -740 - -1191. Let b = 319 - a. Let m = b + 131.99999056. What is m rounded to six decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.8341 centimeters in meters?\nAnswer: 0.098341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 25 + 2. Let w(f) be the third derivative of f**5\/30 + 3*f**4\/4 + f**3\/3 - 280*f**2. Let r be w(h). Solve -3*v = -r - 13 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 577 - 62 = 0. What is the remainder when x is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8576452 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - 7*y**2 - 7*y - 7. Let g be t(-6). Let f be ((-12)\/(-10))\/((-90)\/(-700)) + -10. Which is the closest to 2\/9? (a) 1\/6 (b) f (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, -177\/64, 0, 0.2, 3, -0.9?\nAnswer: -177\/64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*0.153.\nAnswer: -0.153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 6*g = -88. Let j(l) = 9*l**2 - 9*l - 11. Let w be j(g). Suppose w - 172 = 3*a. What are the prime factors of a?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/3)*v**6*v*v*v**0*v*v**(2\/3))\/((v**5\/(v\/v**(-5)))\/((v\/v**(-1\/3))\/v)**(-4)) assuming v is positive.\nAnswer: v**(26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.2, -1, 2, 1\/18?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 389*l + 1311 = 4383 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -4*t**2 + 7*t - 2. Let r(j) = j**2 + j - 1. Let w(s) = n(s) + 3*r(s). Determine w(4).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 173413, 346820, 520263, 693760, 867329?\nAnswer: 1040988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -11*(-2)\/(-143) - 20\/39. Let q = -0.5 - -1. What is the biggest value in q, c, -0.5, -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t + 39*q = -t + 44*q + 155, -2*t = -8*q + 42 for t.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*k + 1122 = -212*k - 75 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31075 is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of -3*d**2\/2 + 3. Let j(g) = -8*g. Let b(z) = 3*z. Let s(y) = 14*b(y) + 5*j(y). Determine s(f(i)).\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 114 - 396 = 0. Let b(d) = -2*d**3 + 13*d**2 - 11*d + 15. Calculate the remainder when k is divided by b(5).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - 622*c**2 + 5922*c + 121178. Determine v(612).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - 1915962011?\nAnswer: -1915962010.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*c**2 + 14*c - 14*c - 2*c**4 - 17*c**2 - 2*c**3 - 4 to r + t*c + m*c**3 + b*c**4 + h*c**2 and give h.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1)*s)**(1\/66)\/(s**(2\/5)\/s)**(-2\/43))\/((s*s*s*s*s*s\/(s*(s**(-2\/7)*s)\/s*s))**(2\/29))**25 assuming s is positive.\nAnswer: s**(-323718\/43645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 588*d + 2378. What is u(-4)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.19 - -0.19019. Round o to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 112 and 168?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -a2c (base 16) to base 7\nAnswer: -10410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 61823, 61820, 61817?\n\"Answer: -3*w + 61826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/11 and -8\/66227 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -326154 divided by -54359?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*f**2 - 138 + 138 - 8*f**3 wrt f.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 151 and 43869577.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, w: 1, p: 2, v: 1, t: 1, o: 1}. What is prob of sequence ltv?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of -11*n**4\/24 + n**3\/2 + 15*n**2. Let l be f(3). Let h be l\/40*-2*2. Put 5, -4, 2, h in ascending order.\nAnswer: -4, 2, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5435 - -5797. Does 72 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -85202745 - 4?\nAnswer: -85202750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 1\/735?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 136509, 546033, 1228559, 2184075, 3412569?\nAnswer: 4914029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 734017369 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 3*s - 4*s. Suppose 0 = 9*i - 4*i. Suppose 4*r + 4*f + i*f - 36 = 0, 0 = 2*r + f - 22. Is s >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 96 and 216?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*z**3 + z**2 + 326*z + 1460*z**3 + 802*z - 333*z**3 - 152*z wrt z.\nAnswer: 6858","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3756*t**2*v**2 - 13*t*v**2 + t*v - 798*v**2 - 2*v - 9 wrt t?\nAnswer: 7512*t*v**2 - 13*v**2 + v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 63513184 to the nearest integer?\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1179 a factor of 1030642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/53, 0.04, 0.1, -2, 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15952)\/(-13958))\/(20\/49)?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(2\/27)*a\/(a*a*(a\/a**19)\/a*a) assuming a is positive.\nAnswer: a**(461\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1872 - -1983. Calculate the greatest common divisor of 6 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -91, -151, -201, -241, -271, -291?\nAnswer: -301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5*20\/(0 + 4). Suppose d - 4*d + 1 = -a, 2*a = -3*d + m. Suppose -3*s = -2*p + 3, -3*s = -1 - a. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 548.16152 - 553796.\nAnswer: -553247.83848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = g - 23, -2*v = -5*v + 4*g. Suppose 11*m**3 + 17*m**2 + 33 + 8*m**3 + 5*m**v - 37 - m**3 = 0. What is m?\nAnswer: -2, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g**2 - 1. What is f(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8484?\nAnswer: 2, 3, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*b**2*o**2*w + 38*b**2*w + 2*b - 6*o**2 + 25*o*w wrt b?\nAnswer: -6*o**2*w + 76*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*p**3 - 188*p**6 - 294*p**2 - 178*p**2 + 4*p**3 + 137*p**6 - 3*p**3 wrt p?\nAnswer: -6120*p**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -58*p**4 - 2*p**2 - 285*p wrt p?\nAnswer: -1392*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -886*m**2 - 43*m - 890*m**2 + 1777*m**2 - 10*m**3 wrt m.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 15*k**5 + 23106*k**4 - 435090*k**3 - 200832*k**2 + 435075*k + 177726 = 0.\nAnswer: -1559, -1, -2\/5, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4997970 to the power of 1\/3, to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 24*k**2 + 184*k + 1190. What is g(-9)?\nAnswer: 1478","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211 = 3*i - 3*h + 86, -5*h + 305 = -3*i. Let n = i - -477\/5. Suppose -5*o - 3*a - 7 = -5, -4*o - 8 = -4*a. Is n greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6517130?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**3 + 36*o**2 + 56*o.\nAnswer: 4*o*(o + 2)*(o + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*q = 26*q + 225 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2 + 5377180*p + 5377181.\nAnswer: -(p - 5377181)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*u**5 - 11*u**3 - 47*u + 1.\nAnswer: -120*u**3 - 66*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.46 and -0.1.\nAnswer: -0.146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 294456.\nAnswer: 2, 3, 12269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7639 = 190*i - 11931. What is the remainder when i is divided by 30?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(2\/7)*4\/98\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3461474 (base 9) to base 11\nAnswer: 1068794","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101895742?\nAnswer: 2, 13, 41, 61, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a milligram in micrograms?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 6 - 106 = 3*z, 5*b + 8*z - 468 = 0. Solve -12*i = 13*i + b for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**2\/5 + 464*l\/5 - 1888\/5 = 0 for l.\nAnswer: -236, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-113)\/23 - (-8)\/(-92)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2 - 0. Let g be 2 + 1 - 4 - 0. Which is the nearest to 1\/4? (a) g (b) 0 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 186 and 27388035?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 0.5, -4, 3\/5, 1\/8, 615?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2585 a factor of 835619532?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 x when three letters picked without replacement from {z: 2, x: 17}?\nAnswer: 16\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-116)\/(-24) + (-1)\/(-6). Let a(k) = 2 - 1 + 2*k - k - f. Let g(p) = p**3 + 5*p**2 + 3*p + 11. Let l be g(-5). Determine a(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 285 and 6075.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*r + 18*r**2 + 20*r**3 + 8 + 4 - 23*r**3.\nAnswer: -3*(r - 4)*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/14*(-6)\/(-18)*3.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, c: 6, h: 1, m: 1, l: 9}. What is prob of picking 1 h and 2 m?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42355048 is divided by 1025.\nAnswer: 1023","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*b - 13*b - 731661 = 0. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -337 + -3?\nAnswer: -33a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (a**2 + 0*a**2 + 0*a**2)*(2*a - 5*a + a) - 1556*a**2 + 1556*a**2 + 8 + 19*a**3 to the form z + q*a**3 + l*a**2 + r*a and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - w + w)*(-2*w + 6*w - 3 - 3*w)*(0*w**3 + w**3 - 10*w**3).\nAnswer: -9*w**5 + 27*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*n**2 + 8*n**2 + 28*n**2 + 30*n**2.\nAnswer: 56*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -455, -1828, -4117, -7322?\nAnswer: -11443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 45 + -27. Let g = 20 - w. What is the second derivative of 4*c - 8*c**4 + 2 - g - 6*c wrt c?\nAnswer: -96*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -80637710.781 + 462\nAnswer: -80637248.781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -43 + 46?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, a: 5, z: 1, x: 1, v: 1}. What is prob of picking 1 x, 2 a, and 1 b?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2454, -5915, -11692, -19791, -30218, -42979?\nAnswer: -58080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 432, 3493, 11800, 27975, 54640?\n\"Answer: 437*f**3 + f**2 - f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 11*a + 10. Let n(d) = d**3 - 5*d**2 + 11*d - 284. Let p be n(8). Give q(p).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 1339*l - 68368. Give r(52).\nAnswer: 1260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}